CN114859851A - Method for evaluating time delay tolerance of unmanned aerial vehicle control system - Google Patents
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Abstract
Description
技术领域technical field
本发明涉及航空器飞行控制技术领域,具体地说,是一种评估无人机控制系统对时延容忍能力的方法,用于评估无人机控制系统对时延容忍能力,进而提高无人机的安全性。The invention relates to the technical field of aircraft flight control, in particular to a method for evaluating the delay tolerance capability of an unmanned aerial vehicle control system, which is used for evaluating the time delay tolerance capability of the unmanned aerial vehicle control system, thereby improving the performance of the unmanned aerial vehicle. safety.
背景技术Background technique
目前,随着无人机技术的发展,无人机的控制系统得到了越来越多的关注。为了提高无人机的安全性和可靠性,无人机控制系统需要对时延具有一定的容忍能力。在设计无人机控制器时往往会忽视如传感器,作动器等带来的时延。对于无人机而言,如果时延超过无人机可容忍范围,原本稳定的无人机控制系统会变得不稳定。因此需要提出一种评估无人机控制系统对时延容忍能力的方法,能够评估无人机控制系统对时延容忍能力,进而提高无人机的安全性。At present, with the development of UAV technology, the control system of UAV has received more and more attention. In order to improve the safety and reliability of the UAV, the UAV control system needs to have a certain tolerance to the delay. Delays caused by sensors, actuators, etc. are often ignored when designing UAV controllers. For UAVs, if the delay exceeds the tolerable range of the UAV, the originally stable UAV control system will become unstable. Therefore, it is necessary to propose a method for evaluating the delay tolerance of the UAV control system, which can evaluate the delay tolerance of the UAV control system, thereby improving the safety of the UAV.
发明内容SUMMARY OF THE INVENTION
本发明的目的在于提供一种评估无人机控制系统对时延容忍能力的方法,实现评估无人机控制系统对时延的容忍能力的功能,具有提高无人机的安全性的效果。The purpose of the present invention is to provide a method for evaluating the delay tolerance of the UAV control system, to realize the function of evaluating the delay tolerance of the UAV control system, and to improve the safety of the UAV.
本发明通过下述技术方案实现:一种评估无人机控制系统对时延容忍能力的方法,包括以下步骤:The present invention is achieved through the following technical solutions: a method for evaluating the delay tolerance of an unmanned aerial vehicle control system, comprising the following steps:
步骤S1.获取无人机控制系统的开环相角裕度;Step S1. Obtain the open-loop phase angle margin of the UAV control system;
步骤S2.基于带宽与时延之间的关系,计算无人机控制系统的滞后相位;Step S2. Calculate the lag phase of the UAV control system based on the relationship between the bandwidth and the time delay;
步骤S3.将无人机控制系统的滞后相位和开环相角裕度进行比较,判断无人机控制系统对时延是否具有容忍能力;Step S3. Compare the lag phase of the UAV control system with the open-loop phase angle margin, and determine whether the UAV control system has tolerance for time delay;
步骤S4.基于相角裕度和无人机控制系统带宽的关系,计算可容忍的最大时延值;Step S4. Calculate the tolerable maximum delay value based on the relationship between the phase angle margin and the UAV control system bandwidth;
步骤S5.根据可容忍的最大时延值获取整个飞行控制系统中可容忍的最大时延。Step S5. Obtain the tolerable maximum delay in the entire flight control system according to the tolerable maximum delay value.
为了更好地实现本发明,进一步地,步骤S1包括:In order to better realize the present invention, further, step S1 includes:
步骤S1.1.获取无人机控制系统的开环相角裕度Pm;Step S1.1. Obtain the open-loop phase angle margin Pm of the UAV control system;
步骤S1.2.根据无人机控制系统的截止频率wc、前向通道的传递函数G(jwc)、反馈通道的传递函数H(jwc)和开环相角裕度Pm获取无人及控制系统的开环相角裕度再减小Pm后的的临界稳定表达式,并表示为:∠G(jwc)∠H(jwc)-Pm=-180°。Step S1.2. According to the cut-off frequency w c of the UAV control system, the transfer function G (jw c ) of the forward channel, the transfer function H (jw c ) of the feedback channel and the open-loop phase angle margin Pm to obtain the unmanned aerial vehicle And the critical stability expression after the open-loop phase angle margin of the control system is reduced by Pm, and expressed as: ∠G( jwc )∠H( jwc )-Pm=-180°.
为了更好地实现本发明,进一步地,步骤S2包括:In order to better realize the present invention, further, step S2 includes:
计算无人机控制系统的滞后相位φ的表达式为φ=ωt,其中,ω为无人机控制系统的带宽,单位为rad/s,t为时延,单位为s。The expression for calculating the lag phase φ of the UAV control system is φ=ωt, where ω is the bandwidth of the UAV control system, in rad/s, and t is the time delay, in s.
为了更好地实现本发明,进一步地,步骤S3包括:In order to better realize the present invention, further, step S3 includes:
将无人机控制系统的滞后相位φ和开环相角裕度Pm进行比较;Compare the lag phase φ of the UAV control system with the open-loop phase angle margin Pm;
当φ<Pm时,判断无人机控制系统对当前滞后相位φ下的时延具备容忍能力;When φ<Pm, it is judged that the UAV control system has tolerance to the delay under the current lag phase φ;
当φ=Pm时,判断无人机控制系统处于临界稳定状态;When φ=Pm, it is judged that the UAV control system is in a critical stable state;
当φ>Pm时,判断无人机控制系统对当前滞后相位φ下的时延不具备容忍能力。When φ>Pm, it is judged that the UAV control system cannot tolerate the delay under the current lag phase φ.
为了更好地实现本发明,进一步地,步骤S4包括:In order to better realize the present invention, further, step S4 includes:
根据开环相角裕度和带宽计算出无人机控制系统可容忍的最大时延tmax的值,并表示为:According to the open-loop phase angle margin and bandwidth, the maximum time delay t max that can be tolerated by the UAV control system is calculated and expressed as:
,其中,tmax的单位为毫秒,并调整时延t,使t<tmax。 , where the unit of t max is milliseconds, and the time delay t is adjusted so that t < t max .
为了更好地实现本发明,进一步地,步骤S5包括:In order to better realize the present invention, further, step S5 includes:
根据无人机控制系统中每一环通道的被控量和各环的带宽获取每一环可容忍的最大时延;Obtain the maximum delay that each loop can tolerate according to the controlled amount of each loop channel and the bandwidth of each loop in the UAV control system;
取每一环可容忍的最大时延值中的最小值为整个飞行控制系统可容忍的最大时延。Take the minimum value of the maximum delay values that each loop can tolerate as the maximum delay that the entire flight control system can tolerate.
本发明与现有技术相比,具有以下优点及有益效果:Compared with the prior art, the present invention has the following advantages and beneficial effects:
(1)本发明方法简单,易实施,具有很强的工程实用性;(1) The method of the present invention is simple, easy to implement, and has strong engineering practicability;
(2)本发明利用带宽,时延以及相角裕度之间的关系,实现了对时延容忍力的评估,提高了无人机控制系统的安全性和可靠性;(2) The present invention utilizes the relationship between bandwidth, time delay and phase angle margin to realize the evaluation of time delay tolerance and improve the safety and reliability of the UAV control system;
(3)本发明的不仅能够评估时延的合理性,还能够给出时延可取的范围。(3) The present invention can not only evaluate the rationality of the delay, but also give the desirable range of the delay.
附图说明Description of drawings
本发明结合下面附图和实施例做进一步说明,本发明所有构思创新应视为所公开内容和本发明保护范围。The present invention will be further described with reference to the following drawings and embodiments, and all conceptual innovations of the present invention should be regarded as the disclosed content and the protection scope of the present invention.
图1为本发明提供的一种评估无人机控制系统对时延容忍能力的方法的流程图。FIG. 1 is a flowchart of a method for evaluating the delay tolerance capability of a UAV control system provided by the present invention.
具体实施方式Detailed ways
为了更清楚地说明本发明实施例的技术方案,下面将结合本发明实施例中的附图,对本发明实施例中的技术方案进行清楚、完整地描述,应当理解,所描述的实施例仅仅是本发明的一部分实施例,而不是全部的实施例,因此不应被看作是对保护范围的限定。基于本发明中的实施例,本领域普通技术工作人员在没有做出创造性劳动前提下所获得的所有其他实施例,都属于本发明保护的范围。In order to illustrate the technical solutions of the embodiments of the present invention more clearly, the following will clearly and completely describe the technical solutions of the embodiments of the present invention with reference to the accompanying drawings in the embodiments of the present invention. It should be understood that the described embodiments are only Some, but not all, embodiments of the present invention should therefore not be construed as limiting the scope of protection. Based on the embodiments of the present invention, all other embodiments obtained by those of ordinary skill in the art without creative work fall within the protection scope of the present invention.
在本发明的描述中,需要说明的是,除非另有明确的规定和限定,术语“设置”、“相连”、“连接”应做广义理解,例如,可以是固定连接,也可以是可拆卸连接,或一体地连接;可以是机械连接,也可以是电连接;也可以是直接相连,也可以是通过中间媒介间接相连,可以是两个元件内部的连通。对于本领域的普通技术人员而言,可以具体情况理解上述术语在本发明中的具体含义。In the description of the present invention, it should be noted that, unless otherwise expressly specified and limited, the terms "arranged", "connected" and "connected" should be understood in a broad sense, for example, it may be a fixed connection or a detachable connection Connection, or integral connection; it can be mechanical connection or electrical connection; it can also be directly connected, or it can be indirectly connected through an intermediate medium, and it can be internal communication between two components. For those of ordinary skill in the art, the specific meanings of the above terms in the present invention can be understood in specific situations.
实施例1:Example 1:
本实施例的一种评估无人机控制系统对时延容忍能力的方法,如图1所示,本实施例公开了:步骤S1.获取无人机控制系统的开环相角裕度;As shown in FIG. 1, this embodiment discloses a method for evaluating the delay tolerance of the UAV control system in this embodiment: step S1. Obtaining the open-loop phase angle margin of the UAV control system;
步骤S2.基于带宽与时延之间的关系,计算无人机控制系统的滞后相位;Step S2. Calculate the lag phase of the UAV control system based on the relationship between the bandwidth and the time delay;
步骤S3.将无人机控制系统的滞后相位和开环相角裕度进行比较,判断无人机控制系统对时延是否具有容忍能力;Step S3. Compare the lag phase of the UAV control system with the open-loop phase angle margin, and determine whether the UAV control system has tolerance for time delay;
步骤S4.基于相角裕度和无人机控制系统带宽的关系,计算可容忍的最大时延值;Step S4. Calculate the tolerable maximum delay value based on the relationship between the phase angle margin and the UAV control system bandwidth;
步骤S5.根据可容忍的最大时延值获取整个飞行控制系统中可容忍的最大时延。Step S5. Obtain the tolerable maximum delay in the entire flight control system according to the tolerable maximum delay value.
在本实施例中提供了评估无人机控制系统对时延的容忍能力方法,不仅简单易实施,还具有很强的工程实用能力。利用带宽,时延以及相角裕度之间的关系,实现了对时延容忍力的评估,提高了无人机控制系统的安全性和可靠性In this embodiment, a method for evaluating the tolerance of the UAV control system to the delay is provided, which is not only simple and easy to implement, but also has strong engineering practical ability. Using the relationship between bandwidth, delay and phase angle margin, the evaluation of delay tolerance is realized, which improves the safety and reliability of the UAV control system
实施例2:Example 2:
本实施例在实施例1的基础上做进一步优化,本实施例公开了:This embodiment is further optimized on the basis of Embodiment 1, and this embodiment discloses:
步骤S1.1.获取无人机控制系统的开环相角裕度Pm;Step S1.1. Obtain the open-loop phase angle margin Pm of the UAV control system;
步骤S1.2.根据无人机控制系统的截止频率wc、前向通道的传递函数G(jwc)、反馈通道的传递函数H(jwc)和开环相角裕度Pm获取无人及控制系统的开环相角裕度再减小Pm后的的临界稳定表达式,并表示为:∠G(jwc)∠H(jwc)-Pm=-180°。Step S1.2. According to the cut-off frequency w c of the UAV control system, the transfer function G (jw c ) of the forward channel, the transfer function H (jw c ) of the feedback channel and the open-loop phase angle margin Pm to obtain the unmanned aerial vehicle And the critical stability expression after the open-loop phase angle margin of the control system is reduced by Pm, and expressed as: ∠G( jwc )∠H( jwc )-Pm=-180°.
在本实施例中,G(jwc)和H(jwc)均为开环传递函数,分别是控制回路的传递函数,G(jwc)为前向通道的传递函数,H(jwc)为反馈通道的传递函数,是本领域内控制理论里公知常识。本实施例中获取无人机控制系统的开环相角裕度是通过系统的幅值计算截止频率,继而根据截止频率计算得到开环相角裕度。在系统截止频率wc处,幅值满足系统性稳定条件时,开环相角裕度再减小Pm后,系统将到达临界稳定条件。In this embodiment, G( jwc ) and H( jwc ) are both open-loop transfer functions, which are respectively the transfer functions of the control loop, G(jwc) is the forward channel transfer function, and H(jwc) is the feedback The transfer function of the channel is common knowledge in the control theory in the art. In this embodiment, the open-loop phase angle margin of the UAV control system is obtained by calculating the cut-off frequency according to the amplitude of the system, and then calculating the open-loop phase angle margin according to the cut-off frequency. At the cut-off frequency w c of the system, when the amplitude satisfies the systematic stability condition, the system will reach the critical stability condition after the open-loop phase angle margin is further reduced by Pm.
本实施例的其他部分与实施例1相同,故不再赘述。The other parts of this embodiment are the same as those of Embodiment 1, and thus are not repeated here.
实施例3:Example 3:
本实施例在上述实施例1或2的基础上做进一步优化,本实施例公开了:This embodiment is further optimized on the basis of the above-mentioned Embodiment 1 or 2, and this embodiment discloses:
计算无人机控制系统的滞后相位φ的表达式为φ=ωt,其中,ω为无人机控制系统的带宽,单位为rad/s,t为时延,单位为s。The expression for calculating the lag phase φ of the UAV control system is φ=ωt, where ω is the bandwidth of the UAV control system, in rad/s, and t is the time delay, in s.
在本实施例中,通过计算无人机控制系统的滞后相位,判断无人机控制系统的滞后相位是否小于相角裕度,当无人机控制系统的滞后相位小于相角裕度时,那么无人机控制系统对该时延具有容忍能力,进而后续可以评估控制系统对时延容忍能力,当无人机控制系统的滞后相位大于或等于相角裕度时,需要调整时延,对时延的调整需要先计算出最大时延值,再对时延进行调整,令时延小于最大时延值,此时无人机控制系统的滞后相位小于相角裕度,再去评估控制系统对时延的容忍能力。In this embodiment, by calculating the lag phase of the UAV control system, it is judged whether the lag phase of the UAV control system is smaller than the phase angle margin. When the lag phase of the UAV control system is smaller than the phase angle margin, then The UAV control system has the tolerance for this delay, and then the control system’s tolerance to the delay can be evaluated later. When the delay phase of the UAV control system is greater than or equal to the phase angle margin, the delay needs to be adjusted. The adjustment of the delay needs to first calculate the maximum delay value, and then adjust the delay so that the delay is less than the maximum delay value. At this time, the delay phase of the UAV control system is less than the phase angle margin, and then evaluate the control system. Delay tolerance.
本实施例的其他部分与上述实施例1或2相同,故不再赘述。The other parts of this embodiment are the same as the above-mentioned Embodiment 1 or 2, and thus are not repeated here.
实施例4:Example 4:
本实施例在上述实施例1-3任一项的基础上做进一步优化,本实施例公开了::This embodiment is further optimized on the basis of any one of the above-mentioned Embodiments 1-3, and this embodiment discloses:
将无人机控制系统的滞后相位φ和开环相角裕度Pm进行比较;Compare the lag phase φ of the UAV control system with the open-loop phase angle margin Pm;
当φ<Pm时,判断无人机控制系统对当前滞后相位φ下的时延具备容忍能力;When φ<Pm, it is judged that the UAV control system has tolerance to the delay under the current lag phase φ;
当φ=Pm时,判断无人机控制系统处于临界稳定状态;When φ=Pm, it is judged that the UAV control system is in a critical stable state;
当φ>Pm时,判断无人机控制系统对当前滞后相位φ下的时延不具备容忍能力。When φ>Pm, it is judged that the UAV control system cannot tolerate the delay under the current lag phase φ.
在本实施例中,通过判断无人机控制系统的滞后相位是否小于相角裕度,获取评估无人机控制系统对时延容忍能力的结果。In this embodiment, by judging whether the delayed phase of the UAV control system is smaller than the phase angle margin, the result of evaluating the delay tolerance capability of the UAV control system is obtained.
本实施例的其他部分与上述实施例1-3任一项相同,故不再赘述。The other parts of this embodiment are the same as any of the above-mentioned Embodiments 1-3, and thus are not repeated here.
实施例5:Example 5:
本实施例在上述实施例1-4任一项基础上做进一步优化,步骤S4包括:This embodiment is further optimized on the basis of any one of the above-mentioned embodiments 1-4, and step S4 includes:
根据开环相角裕度和带宽计算出无人机控制系统可容忍的最大时延tmax的值,并表示为:,其中,tmax的单位为毫秒,并调整时延t,使t<tmax。According to the open-loop phase angle margin and bandwidth, the maximum time delay t max that can be tolerated by the UAV control system is calculated and expressed as: , where the unit of t max is milliseconds, and the time delay t is adjusted so that t < t max .
本实施例不仅可以评估时延的合理性,并给出了时延可取的范围。This embodiment can not only evaluate the rationality of the delay, but also give a desirable range of the delay.
本实施例的其他部分与上述实施例1-4任一项相同,故不再赘述。The other parts of this embodiment are the same as any of the above-mentioned Embodiments 1-4, and thus are not repeated here.
实施例6:Example 6:
本实施例在上述实施例1-5任一项基础上做进一步优化,步骤S5包括:This embodiment is further optimized on the basis of any one of the above-mentioned embodiments 1-5, and step S5 includes:
根据无人机控制系统中每一环通道的被控量和各环的带宽获取每一环可容忍的最大时延;Obtain the maximum delay that each loop can tolerate according to the controlled amount of each loop channel and the bandwidth of each loop in the UAV control system;
取每一环可容忍的最大时延值中的最小值为整个飞行控制系统可容忍的最大时延。Take the minimum value of the maximum delay values that each loop can tolerate as the maximum delay that the entire flight control system can tolerate.
在本实施例中,以某无人机控制系统纵向通道为例,被控量分别为q、θ、H&、 H,整个控制系统可容忍的最大时延可表示为:In this embodiment, taking the longitudinal channel of a UAV control system as an example, the controlled quantities are q, θ, H & , H respectively, and the maximum time delay that the entire control system can tolerate can be expressed as:
Tmax=min(tmax q,tmaxθ,tmax HK),其中,Tmax=min(t max q , t max θ , t max H K ), where,
其中,ωq,ωθ,ωH分别为各环的带宽。Among them, ω q , ω θ , ω H is the bandwidth of each ring, respectively.
本实施例的其他部分与上述实施例1-5任一项相同,故不再赘述。The other parts of this embodiment are the same as any of the above-mentioned Embodiments 1-5, and thus are not repeated here.
以上所述,仅是本发明的较佳实施例,并非对本发明做任何形式上的限制,凡是依据本发明的技术实质对以上实施例所做的任何简单修改、等同变化,均落入本发明的保护范围之内。The above are only preferred embodiments of the present invention, and do not limit the present invention in any form. Any simple modifications and equivalent changes made to the above embodiments according to the technical essence of the present invention fall into the present invention. within the scope of protection.
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