CN109849896B - A Coordinated Control Method for Adaptive E-H Switching of Hybrid Electric Vehicles Based on Parameter Observation - Google Patents
A Coordinated Control Method for Adaptive E-H Switching of Hybrid Electric Vehicles Based on Parameter Observation Download PDFInfo
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Abstract
本发明公开了一种基于参数观测的混合动力汽车自适应E‑H切换协调控制方法,属于汽车动态控制领域。本发明针对混合动力汽车由E(Electric drive mode,纯电动模式)‑H(Hybrid drive mode,混合驱动模式)的模式切换过程中产生的纵向冲击问题及系统参数摄动现象,引入一种融合参数不确定性观测器的多动力源协调控制策略,通过实时监测系统参数变化,及时修正协调控制器参数,使得车辆始终自动地工作在最优或次最优的状态下。同时,由于协调控制器的自校正特性,可实现适用于不同路面、不同驾驶员的高水平切换控制。本发明可有效降低模式切换冲击,并使其协调控制策略具有一定的抗干扰性及自适应性。
The invention discloses an adaptive E-H switching coordination control method for a hybrid electric vehicle based on parameter observation, which belongs to the field of vehicle dynamic control. Aiming at the longitudinal impact problem and the system parameter perturbation phenomenon generated during the mode switching process of the hybrid electric vehicle from E (Electric drive mode, pure electric mode)-H (Hybrid drive mode, hybrid drive mode), the present invention introduces a fusion parameter The multi-power source coordinated control strategy of uncertainty observer, through real-time monitoring of system parameter changes and timely correction of coordinated controller parameters, makes the vehicle always automatically work in an optimal or sub-optimal state. At the same time, due to the self-correction characteristics of the coordinated controller, high-level switching control suitable for different road surfaces and different drivers can be realized. The invention can effectively reduce the impact of mode switching, and make its coordinated control strategy have certain anti-interference and self-adaptability.
Description
技术领域technical field
本发明涉及一种基于参数观测的混合动力汽车自适应E-H切换协调控制策略,属于汽车动态控制领域。The invention relates to a hybrid electric vehicle adaptive E-H switching coordination control strategy based on parameter observation, and belongs to the field of vehicle dynamic control.
背景技术Background technique
众所周知,混合动力汽车具有多种行驶模式,并且可以根据不同的行驶工况选择合适的驱动/制动模式以实现良好的燃油经济性及动力性,这就不可避免地涉及到模式切换,相应的动力源需求转矩也会发生突变,如果不施加合理的控制,易造成明显冲击感,甚至会发生动力中断的现象。发动机、电机以及离合器作为主要的冲击来源,合理协调三者的输出响应有利于提升整车模式切换品质。当前混合动力汽车动态协调控制研究主要采用电机动态转矩补偿发动机转矩响应速度的不足,但极少考虑模型本身存在的不确定性及外界干扰,此外,由于车辆实际工作环境复杂多变,协调控制策略必须能适应各种状态变量的变化。As we all know, hybrid vehicles have a variety of driving modes, and the appropriate driving/braking mode can be selected according to different driving conditions to achieve good fuel economy and dynamic performance, which inevitably involves mode switching, corresponding The torque required by the power source will also undergo sudden changes. If reasonable control is not applied, it will easily cause a significant impact, and even power interruption will occur. The engine, motor and clutch are the main shock sources, and a reasonable coordination of the output responses of the three is conducive to improving the quality of vehicle mode switching. The current research on the dynamic coordinated control of hybrid electric vehicles mainly uses the dynamic torque of the motor to compensate for the lack of torque response speed of the engine, but rarely considers the uncertainty of the model itself and external interference. The control strategy must be able to adapt to changes in various state variables.
发明内容SUMMARY OF THE INVENTION
为克服以上技术缺陷,本发明提出一种能适应各种状态变量变化的基于参数观测的混合动力汽车自适应E-H切换协调控制方法,其技术方案包括步骤:In order to overcome the above technical defects, the present invention proposes a hybrid electric vehicle adaptive E-H switching coordination control method based on parameter observation, which can adapt to the changes of various state variables. The technical scheme includes the steps:
一种基于参数观测的混合动力汽车自适应E-H切换协调控制方法,包括以下步骤:A hybrid electric vehicle adaptive E-H switching coordination control method based on parameter observation, comprising the following steps:
步骤1)混合动力汽车初始状态以纯电动模式行驶,此时,制动器CB1锁止,发动机关闭,电机MG2完全负担车辆驱动所需扭矩;同时,混合动力汽车上的车速传感器及加速踏板位置传感设备实时监测当前车速信息及加速踏板、制动踏板位置信号,并输入到车辆控制器VCU,根据已设定的切换车速阈值vthr,VCU判断是否进行模式切换;Step 1) The initial state of the HEV runs in pure electric mode. At this time, the brake CB1 is locked, the engine is turned off, and the motor MG2 is fully responsible for the torque required for driving the vehicle; at the same time, the vehicle speed sensor and the accelerator pedal position sensing device on the HEV Real-time monitoring of current vehicle speed information and accelerator pedal, brake pedal position signals, and input to the vehicle controller VCU, according to the preset switching speed threshold v thr , the VCU judges whether to switch the mode;
步骤2)若车速v≥vthr时;Step 2) If the vehicle speed v ≥ v thr ;
此时混合动力汽车满足模式切换条件,需要进行模式切换,VCU控制制动器CB1迅速断开,车辆由纯电动模式进入发动机拖转;发动机拖转阶段控制目标为:尽快增大离合器CR1压力,电机MG1需在短时间内通过离合器拖转发动机直至怠速转速widle,同时降低纵向冲击。考虑到该阶段控制目标及控制对象数量较多,设计了基于动态规划的最优协调控制器,通过离散化上述目标函数及变量范围,运用动态规划全局优化算法求解最优控制量(TMG1,TCR1,TMG2);其中,TCR1为离合器传递扭矩,TMG1和TMG2分别为电机MG1和MG2的输出转矩;电机MG2转矩PID补偿模块可由下式表达:At this time, the hybrid electric vehicle meets the mode switching conditions and needs to perform mode switching. The VCU controls the brake CB1 to quickly disconnect, and the vehicle enters the engine towing from the pure electric mode. It is necessary to drag the engine through the clutch to the idle speed widle in a short time, while reducing the longitudinal shock. Considering the large number of control objectives and control objects at this stage, an optimal coordinated controller based on dynamic programming is designed. By discretizing the above objective function and variable range, the dynamic programming global optimization algorithm is used to solve the optimal control variables (T MG1 , T CR1 , T MG2 ); wherein, T CR1 is the clutch transmission torque, T MG1 and T MG2 are the output torques of the motor MG1 and MG2 respectively; the motor MG2 torque PID compensation module can be expressed by the following formula:
其中,kp、kd和ki为车速跟踪误差Δv的比例、微分及积分系数,k′p、kd′和ki′为加速度误差Δα的比例、微分及积分系数,通过调整车速跟踪误差Δv和加速度误差Δα的比例、积分及微分系数,输出当前时刻的电机MG2转矩补偿信号δT;Among them, k p , k d and ki are the proportional, differential and integral coefficients of the vehicle speed tracking error Δv, and k' p , k d ' and ki ' are the proportional, differential and integral coefficients of the acceleration error Δα. By adjusting the vehicle speed tracking The proportional, integral and differential coefficients of the error Δv and the acceleration error Δα, and output the motor MG2 torque compensation signal δ T at the current moment;
步骤3)当发动机的转速we≥widle时;Step 3) When the rotational speed of the engine w e ≥ w idle ;
此时车辆进入转速同步阶段,发动机开始点火,同时最优协调控制器控制(Te,TMG1,TCR1,TMG2),其中,Te为发动机输出转矩,以保证离合器端速差|wcl-in-wcl-out|小于设定阈值ε0,实现转速同步;At this time, the vehicle enters the speed synchronization stage, the engine starts to ignite, and the optimal coordinated controller controls (T e , T MG1 , T CR1 , T MG2 ), where T e is the engine output torque to ensure the clutch end speed difference| w cl-in -w cl-out | is less than the set threshold ε 0 to achieve speed synchronization;
步骤4)当|wcl-in-wcl-out|≤ε0时;此时认为离合器进入滑磨阶段,此阶段最优协调控制器控制目标为进一步降低端速差及滑磨功,该阶段目标函数及其变量限制条件同步骤3);Step 4) When |w cl-in -w cl-out |≤ε 0 ; at this time, it is considered that the clutch enters the slippage stage, and the control objective of the optimal coordinated controller at this stage is to further reduce the end speed difference and slippage work. The stage objective function and its variable constraints are the same as step 3);
步骤5)当|wcl-in-wcl-out|≤ε1时;此时离合器端速差足够小,认为离合器完全接合,车辆进入混合驱动模式,电机MG1调速发动机于最优转速,整车由发动机与电机MG2共同驱动,多动力源最优转矩分配由能量管理确定,模式切换过程结束;Step 5) When |w cl-in -w cl-out |≤ε 1 ; at this time, the clutch end speed difference is small enough, it is considered that the clutch is fully engaged, the vehicle enters the hybrid drive mode, the motor MG1 adjusts the speed of the engine at the optimal speed, The whole vehicle is jointly driven by the engine and the motor MG2, the optimal torque distribution of multiple power sources is determined by energy management, and the mode switching process ends;
步骤6)混合动力汽车模式切换过程中,设计相应的不确定性参数观测器,通过在Cruise模型中进行多组数据输入,应用数据驱动理论,构建出参数变化预测模型,从而识别当前系统参数变化规律。Step 6) In the process of hybrid electric vehicle mode switching, design the corresponding uncertainty parameter observer, through inputting multiple sets of data in the Cruise model, and applying data-driven theory, a parameter change prediction model is constructed to identify the current system parameter change. law.
本发明的有益效果为:本发明仅基于Cruise模型的输入输出数据直接搭建数据驱动预测器,能妥善处理系统中的多约束问题及高阶非线性,非常适合于具有快速复杂动态特性的HEV模式切换过程中的参数摄动预测。通过对系统参数及其变化率的实时观测,可相应调整车辆模式切换过程协调控制器参数,进而获得平顺性较高,鲁棒性较好的模式切换品质。The beneficial effects of the present invention are: the present invention directly builds a data-driven predictor based only on the input and output data of the Cruise model, can properly handle the multi-constraint problem and high-order nonlinearity in the system, and is very suitable for the HEV mode with fast and complex dynamic characteristics Parameter perturbation prediction during switching. Through the real-time observation of the system parameters and their rate of change, the parameters of the coordinated controller in the vehicle mode switching process can be adjusted accordingly, and the mode switching quality with high smoothness and robustness can be obtained.
附图说明Description of drawings
图1为本发明所述混合动力汽车动力系统布局图。FIG. 1 is a layout diagram of a hybrid electric vehicle power system according to the present invention.
图2为本发明所述混合动力汽车E-H模式切换流程图。FIG. 2 is a flow chart of the E-H mode switching of the hybrid vehicle according to the present invention.
图3为本发明所述的基于参数观测的混合动力汽车自适应E-H切换协调控制策略的总体控制方案图。FIG. 3 is an overall control scheme diagram of the hybrid electric vehicle adaptive E-H switching coordination control strategy based on parameter observation according to the present invention.
图4为本发明所述系统不确定参数观测器设计架构图。FIG. 4 is a design architecture diagram of the system uncertain parameter observer according to the present invention.
具体实施方式Detailed ways
以下结合附图及具体实施例对本发明做进一步说明。如图1所示为本专利研究的双行星排式混合动力系统,主要包括前排齿圈R1、前排行星架C1、前排太阳轮S1、后排齿圈R2、后排行星架C2、后排太阳轮S2。其中发动机通过离合器CR1和制动器CB1与前排行星架C1相连,电机MG1的转子轴通过制动器CB2与前排太阳轮S1相连,电机MG2的转子轴与后排太阳轮S2相连。另外前排行星架C1与后排齿圈R2相连,前排齿圈R1、后排行星架C2、输出轴三者相连。混合动力汽车初始以纯电动模式行驶,制动器CB1锁止,发动机关闭,电机MG2完全负担车辆驱动所需扭矩。同时,混合动力汽车上的车速传感器及加速踏板位置传感设备实时监测当前车速信息及加速踏板、制动踏板位置信号,并输入到车辆控制器(VCU),根据已设定的切换车速阈值vthr,VCU判断是否进行模式切换;The present invention will be further described below with reference to the accompanying drawings and specific embodiments. As shown in Figure 1, the dual-planetary hybrid power system studied in this patent mainly includes a front-row ring gear R1, a front-row planetary carrier C1, a front-row sun gear S1, a rear-row ring gear R2, a rear-row planetary carrier C2, Rear sun gear S2. The engine is connected to the front planet carrier C1 through the clutch CR1 and the brake CB1, the rotor shaft of the motor MG1 is connected to the front sun gear S1 through the brake CB2, and the rotor shaft of the motor MG2 is connected to the rear sun gear S2. In addition, the front-row planet carrier C1 is connected with the rear-row ring gear R2, and the front-row ring gear R1, the rear-row planet carrier C2, and the output shaft are connected. The hybrid vehicle initially runs in pure electric mode, the brake CB1 is locked, the engine is turned off, and the motor MG2 is fully responsible for the torque required for driving the vehicle. At the same time, the vehicle speed sensor and accelerator pedal position sensing device on the hybrid vehicle monitors the current vehicle speed information and the position signals of the accelerator pedal and the brake pedal in real time, and inputs them to the vehicle controller (VCU), according to the preset switching speed threshold v thr , the VCU determines whether to switch the mode;
若v>vthr时,表明混合动力汽车满足模式切换条件,需要进行模式切换,VCU控制制动器CB1迅速断开,车辆由纯电动模式进入发动机拖转。发动机拖转阶段控制目标为:尽快增大离合器CR1压力,电机MG1需在0.5s内通过离合器拖转发动机直至怠速转速widle,同时降低纵向冲击。考虑到该阶段控制目标及控制对象数量较多,设计了基于动态规划的最优协调控制器。If v>v thr , it indicates that the hybrid vehicle meets the mode switching conditions and needs to perform mode switching. The VCU controls the brake CB1 to quickly disconnect, and the vehicle enters the engine tow from the pure electric mode. The control objective of the engine towing stage is to increase the pressure of the clutch CR1 as soon as possible, and the motor MG1 needs to drag the engine through the clutch to the idle speed widle within 0.5s, while reducing the longitudinal impact. Considering the large number of control objectives and control objects at this stage, an optimal coordinated controller based on dynamic programming is designed.
目标函数objective function
相应的变量限制条件为:The corresponding variable constraints are:
通过离散化上述目标函数及变量范围,运用动态规划全局优化算法求解最优控制量(TMG1,TCR1,TMG2)。由于发动机低速转动时存在显著的转矩波动,以及离合器传递扭矩过程存在的不连续性均会传递到驱动轴从而带来冲击,增设电机MG2转矩PID补偿模块抵消这部分转矩波动。电机MG2转矩PID补偿模块可由下式表达:By discretizing the above objective function and variable range, the dynamic programming global optimization algorithm is used to solve the optimal control variables (T MG1 , T CR1 , T MG2 ). Due to the significant torque fluctuations when the engine rotates at low speed, and the discontinuity in the torque transmission process of the clutch, it will be transmitted to the drive shaft to bring shocks. The addition of the motor MG2 torque PID compensation module offsets this part of the torque fluctuations. The motor MG2 torque PID compensation module can be expressed by the following formula:
其中,kp、kd和ki为车速跟踪误差Δv的比例、微分及积分系数,k′p、kd′和ki′为加速度误差Δα的比例、微分及积分系数,通过调整车速跟踪误差Δv和加速度误差Δα的比例、积分及微分系数,输出当前时刻的电机MG2转矩补偿信号δT。Among them, k p , k d and ki are the proportional, differential and integral coefficients of the vehicle speed tracking error Δv, and k' p , k d ' and ki ' are the proportional, differential and integral coefficients of the acceleration error Δα. By adjusting the vehicle speed tracking The proportional, integral and differential coefficients of the error Δv and the acceleration error Δα are used to output the motor MG2 torque compensation signal δ T at the current moment.
当we≥widle时,此时车辆进入转速同步阶段,发动机开始点火,同时最优协调控制器控制(Te,TMG1,TCR1,TMG2),以降低离合器端速差|wcl-in-wcl-out|,实现转速同步。同样,设计了电机MG2转矩补偿模块抵消发动机点火后的转矩波动。When w e ≥ w idle , the vehicle enters the speed synchronization stage, the engine starts to ignite, and the optimal coordination controller controls (T e , T MG1 , T CR1 , T MG2 ) to reduce the clutch end speed difference |w cl -in -w cl-out | for speed synchronization. Similarly, the motor MG2 torque compensation module is designed to offset the torque fluctuation after the engine is fired.
相应目标函数为The corresponding objective function is
受到的限制条件为The constraints are
如图2所示,当|wcl-in-wcl-out|≤ε0时,此时离合器端速差低于设定阈值ε0(本文设定为0.1rad/s),认为离合器进入滑磨阶段,此阶段最优协调控制器控制目标为进一步降低端速差及滑磨功。该阶段目标函数及其变量限制条件同上。As shown in Figure 2, when |w cl-in -w cl-out |≤ε 0 , the clutch end speed difference is lower than the set threshold ε 0 (this paper is set to 0.1rad/s), it is considered that the clutch enters In the slip-grinding stage, the control objective of the optimal coordinated controller at this stage is to further reduce the end speed difference and slip-grinding work. The objective function and its variable constraints in this stage are the same as above.
当|wcl-in-wcl-out|≤ε1时,此时离合器端速差足够小,即ε1等于0,认为离合器完全接合,车辆进入混合驱动模式。电机MG1调速发动机于最优转速,整车由发动机与电机MG2共同驱动,多动力源最优转矩分配由能量管理策略确定,完成E-H模式切换过程。When |w cl-in -w cl-out |≤ε 1 , the clutch end speed difference is small enough, that is, ε 1 is equal to 0, it is considered that the clutch is fully engaged, and the vehicle enters the hybrid drive mode. The motor MG1 regulates the speed of the engine at the optimal speed, the whole vehicle is jointly driven by the engine and the motor MG2, and the optimal torque distribution of multiple power sources is determined by the energy management strategy to complete the EH mode switching process.
整个切换过程涉及的协调控制策略的总体控制方案如图3所示。当混合动力汽车车速超过设定阈值vthr,车辆控制器接收到纯电动切换至混合驱动的模式切换信号,此时能量管理策略根据车辆行驶工况和燃油经济性要求确定出混合驱动模式稳态下发动机目标转矩Te-set、电机目标转矩Tm-set、离合器目标转矩Tc-set,于是发动机、离合器、电机的执行机构分别通过调整节气门开度、离合器接合压力、三相绕组电流来驱使各动力源过渡至目标转矩。为了减小由上述转矩突变带来的驱动轴冲击振动,设计了如权利要求1所述的分阶段协调控制策略,通过最优控制和电机补偿综合求解整个切换过程中发动机、离合器、电机的需求转矩Te-dem、Tc-dem、Tm-dem,并考虑到执行器的实际操作限制,分别设计了扭矩限制模块和迟滞模块,其中发动机的扭矩限制模块为The overall control scheme of the coordinated control strategy involved in the entire handover process is shown in Figure 3. When the vehicle speed of the HEV exceeds the set threshold v thr , the vehicle controller receives the mode switching signal for switching from pure electric to hybrid drive. At this time, the energy management strategy determines the steady state of the hybrid drive mode according to the vehicle driving conditions and fuel economy requirements. Lower the engine target torque T e-set , the motor target torque T m-set , and the clutch target torque T c-set , so the actuators of the engine, clutch, and motor respectively adjust the throttle opening, clutch engagement pressure, three phase winding current to drive each power source to transition to the target torque. In order to reduce the shock and vibration of the drive shaft caused by the above-mentioned sudden change in torque, a phased coordinated control strategy as claimed in
Te-min(ω)≤Te(ω)≤Te-max(ω)T e-min (ω)≤T e (ω)≤T e-max (ω)
发动机迟滞模块为The engine hysteresis module is
Te(ω)根据发动机当前转速通过稳态查表模型获得,查表模型基于发动机台架实验数据建立,τe为发动机一阶惯性环节的时间常数。T e (ω) is obtained through the steady-state look-up table model according to the current engine speed. The look-up table model is established based on the experimental data of the engine bench. τ e is the time constant of the first-order inertial link of the engine.
相似地,离合器执行器的扭矩限制及迟滞模块为Similarly, the torque limit and hysteresis module for the clutch actuator is
TCR1-min≤TCR1≤TCR1-max T CR1-min ≤T CR1 ≤T CR1-max
电机的扭矩限制和迟滞模块为The torque limit and hysteresis module for the motor is
TM-m in(ω)≤TM(ω)≤TM-max(ω)T Mm in (ω)≤T M (ω)≤T M-max (ω)
τc、τm分别为离合器和电机的一阶惯性环节的时间常数。经过“实际化”后的发动机执行扭矩Te-in、离合器执行扭矩Tc-in、电机执行扭矩Tm-in输入至HEV整车模型中(即图1所示的系统架构),最终的输出扭矩真值信号Te-act、Tc-act、Tm-act经由传感器测量反馈至协调控制器中。传感器测量模块主要模拟其测量误差,相应地数学表达为τ c , τ m are the time constants of the first-order inertial elements of the clutch and the motor, respectively. The "actualized" engine execution torque T e-in , clutch execution torque T c-in , and motor execution torque T m-in are input into the HEV vehicle model (ie, the system architecture shown in Figure 1 ), and the final The output torque true value signals T e-act , T c-act , T m-act are fed back to the coordinated controller via sensor measurements. The sensor measurement module mainly simulates its measurement error, which is mathematically expressed as
其中,Δe、Δc、Δm分别为发动机、离合器、电机的误差比例系数。值得注意的是,整个E-H模式切换过程相对动态,存在多种时变系统参数,如各部件转动惯量、电机内阻、发动机启动阻力矩、离合器摩擦系数等。由于系统参数时变易造成控制器效果恶化,基于此,设计相应的不确定性参数观测器,如图4所示,首先应用软件Cruise搭建了本专利所研究的如图1所示的双行星排式混合动力汽车的整车模型,该模型可较好地刻画车辆的瞬态动力学特性。随后通过在Cruise模型中进行多组数据输入,应用数据驱动理论,考虑E-H切换过程的离散状态方程,在第k个采样时刻,有如下状态空间表达式Among them, Δ e , Δ c , and Δ m are the error proportional coefficients of the engine, clutch, and motor, respectively. It is worth noting that the entire EH mode switching process is relatively dynamic, and there are various time-varying system parameters, such as the rotational inertia of each component, the internal resistance of the motor, the engine starting resistance torque, and the clutch friction coefficient. Due to the time-varying system parameters, it is easy to cause the controller effect to deteriorate. Based on this, a corresponding uncertainty parameter observer is designed, as shown in Figure 4. First, the double planetary array as shown in Figure 1 studied in this patent is built using the software Cruise. The whole vehicle model of the hybrid electric vehicle can better describe the transient dynamic characteristics of the vehicle. Then, by inputting multiple sets of data in the Cruise model, applying data-driven theory, and considering the discrete state equation of the EH switching process, at the kth sampling time, there is the following state space expression
x(k+1)=Ax(k)+Bu(k)x(k+1)=Ax(k)+Bu(k)
y(k)=Cx(k)y(k)=Cx(k)
其中x(k)是系统的状态变量,u(k)是系统的输入变量,y(k)是系统的输出变量,A、B、C分别是系统的状态、输入、输出增益矩阵。where x(k) is the state variable of the system, u(k) is the input variable of the system, y(k) is the output variable of the system, and A, B, and C are the state, input, and output gain matrices of the system, respectively.
系统的输入为发动机、离合器、电机转矩及电机工作温度,即u(k)=[Te(k) Tc(k)Tm(k) Qm(k)]T,系统输出为离合器端速差、离合器摩擦系数、电机内阻,即y(k)=[Δω(k)μc(k) Rm(k)]T,通过迭代运算有The input of the system is the engine, clutch, motor torque and motor operating temperature, that is, u(k)=[T e (k) T c (k) T m (k) Q m (k)] T , the system output is the clutch Terminal speed difference, clutch friction coefficient, motor internal resistance, namely y(k)=[Δω(k)μ c (k) R m (k)] T , through iterative operation, we have
则对于离散时间δ,有如下矩阵方程Then for discrete time δ, there is the following matrix equation
当k=1,δ=0,1,2,...,j-1时,有如下矩阵方程When k=1, δ=0,1,2,...,j-1, there is the following matrix equation
Ys=ψiXs+φiUs Y s =ψ i X s +φ i U s
其中,in,
Xs=[x(1) x(2) x(3) … x(j)]X s = [x(1) x(2) x(3) … x(j)]
ψi=[C CA CA2 … CAi-1]T ψ i = [C CA CA 2 ... CA i-1 ] T
当k=1,δ=0,1,2,...,j-1时,有如下矩阵方程When k=1, δ=0,1,2,...,j-1, there is the following matrix equation
Yf=ψiXf+φiUf Y f =ψ i X f +φ i U f
其中in
Xf=[x(i+1) x(i+2) x(i+3 )… x(i+j)]X f =[x(i+1) x(i+2) x(i+3 )... x(i+j)]
由于because
Xf=AiXs+σiUs X f =A i X s +σ i U s
σi=[Ai-1B Ai-2B … B 0]σ i = [A i-1 BA i-2 B ... B 0]
即有that is
Yf=ψiAiψi -1Ys+ψi(σi-Aiψi -1φi)Us+φiUf Y f =ψ i A i ψ i -1 Y s +ψ i (σ i -A i ψ i -1 φ i )U s +φ i U f
应用上述迭代递归的方法即可建立输入-输出的控制间预测方程,通过采集足够的测量数据便可构建出参数变化预测模型,从而识别当前系统参数变化规律。The input-output inter-control prediction equation can be established by applying the above iterative recursion method, and the parameter change prediction model can be constructed by collecting enough measurement data, so as to identify the current system parameter change law.
如图3所示,通过上述不确定性观测器识别,在系统参数摄动的状况下,可以同时进行最优协调控制器参数α、β、γ、λ和PID参数kp、kd、ki、k′p、kd′和ki′修正,从而使得系统始终自动地工作在最优或次最优的运行状态下。As shown in Figure 3, through the above-mentioned uncertainty observer identification, under the condition of system parameter perturbation, the optimal coordinated controller parameters α, β, γ, λ and PID parameters k p , k d , k can be simultaneously performed. i , k′ p , k d ′ and k i ′ are modified so that the system always automatically works under optimal or sub-optimal operating conditions.
在本说明书的描述中,参考术语“一个实施例”、“一些实施例”、“示意性实施例”、“示例”、“具体示例”、或“一些示例”等的描述意指结合该实施例或示例描述的具体特征、结构、材料或者特点包含于本发明的至少一个实施例或示例中。在本说明书中,对上述术语的示意性表述不一定指的是相同的实施例或示例。而且,描述的具体特征、结构、材料或者特点可以在任何的一个或多个实施例或示例中以合适的方式结合。In the description of this specification, reference to the terms "one embodiment," "some embodiments," "exemplary embodiment," "example," "specific example," or "some examples," or the like, is meant to incorporate the embodiment. A particular feature, structure, material, or characteristic described by an example or example is included in at least one embodiment or example of the present invention. In this specification, schematic representations of the above terms do not necessarily refer to the same embodiment or example. Furthermore, the particular features, structures, materials or characteristics described may be combined in any suitable manner in any one or more embodiments or examples.
尽管已经示出和描述了本发明的实施例,本领域的普通技术人员可以理解:在不脱离本发明的原理和宗旨的情况下可以对这些实施例进行多种变化、修改、替换和变型,本发明的范围由权利要求及其等同物限定。Although embodiments of the present invention have been shown and described, it will be understood by those of ordinary skill in the art that various changes, modifications, substitutions and alterations can be made in these embodiments without departing from the principles and spirit of the invention, The scope of the invention is defined by the claims and their equivalents.
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