【作者】 王旭；

【导师】 马丹；

【作者基本信息】 东北大学 ， 导航、制导与控制， 2017， 硕士

【摘要】 切换LPV系统具有切换系统和LPV系统的特点且比其任一系统动态均复杂的系统,有着广泛的实际背景。切换子系统中具有时变参数,使得切换LPV系统能够更精确地描述实际系统或非线性系统的复杂特性。同时,切换LPV系统也较单LPV系统更能刻画动态系统的多模态特性。因此,这类切换LPV系统具有较切换系统或LPV系统更为复杂的特性,并非两种系统特性的简单叠加。另一方面,事件触发控制机制可以解决网络通信受限、网络拥堵、资源浪费等问题。事件触发机制还可以降低控制器的刷新频率,以此来提高系统的使用寿命。本文针对基于事件触发机制的切换LPV系统的控制问题,研究了连续时间切换LPV系统的H∞控制、状态跟踪控制以及离散时间切换LPV系统的H∞状态跟踪控制问题,并将理论结果在航空发动机切换LPV模型上进行仿真验证。包括以下几方面工作:首先,在一类具有扰动的连续时间切换LPV系统上实现事件触发。利用参数依赖的多Lyapunov函数方法和平均驻留时间技术进行稳定性分析和控制器的设计,通过对事件发生器和切换LPV控制器的联合设计,实现对连续时间切换LPV系统的H∞控制。给出了保证切换LPV系统H∞控制的事件发生器和切换控制律共同存在的充分条件。通过数值仿真验证了方法的可行性和有效性。其次,研究了一类具有扰动的并且参数在一个多胞型内变化的连续时间切换LPV系统。在该系统上利用事件触发机制实现系统对参考模型的H∞状态跟踪控制。利用参数依赖的多Lyapunov函数方法和平均驻留时间技术进行稳定性分析和控制器的设计,给出了保证切换LPV系统H∞跟踪控制的事件发生器和切换控制律共同存在的充分条件。数值仿真验证了方法的可行性和有效性。最后,研究了基于事件触发机制的离散时间切换LPV系统的H∞跟踪控制问题。通过对事件发生器和切换LPV控制器的联合设计,实现对参考模型的H∞状态跟踪控制。再将理论结果应用在航空发动机切换LPV模型上,通过仿真验证了方法的可行性和有效性。更多还原

【Abstract】 The switched LPV system is a switched system whose subsystems are all LPV systems with a wide range of practical background.Inherited both characteristics of LPV systems and switched systems,switched LPV systems can better describe practical systems and nonlinear systems.On the other hand,the event-triggered mechanism can solve the problem of limited network communication,network congestion,waste of resources and so on.The event-triggered mechanism also reduces the controller’s updating rate to improve system life.In this paper,the H∞,control for the continuous-time switched LPV system is studied.The H∞ tracking control for the continuous-time switched LPV system based on event-triggered mechanism and the H∞ tracking control for the discrete-time switched LPV system based on event-triggered mechanism are further explored.Then it can be applied to the switched LPV model of the aeroengine.It mainly contains the following aspects:First of all,the event-triggered mechanism is applied to a continuous-time switched LPV system with exogenous disturbance.The stability analysis and the controller design are performed by using the parameter-dependent multiple-Lyapunov function method and the average dwell time technique.By applying the event-triggered strategy,the event generator and the switching controller are co-designed for achieving the H∞ control for the continuous-time switched LPV system.The sufficient conditions for the coexistence of event generator and switching control law guarantee the switched LPV system are given.The feasibility and effectivity of the proposed method are shown by numerical simulations.Secondly,a class of continuous-time switched LPV systems with exogenous disturbance and varying parameters within a polytope is studied.Event-triggered mechanism is used to obtain the state tracking to the reference model.The stability analysis and controller design are carried out by using the parameter-dependent multiple Lyapunov function method and the average dwell time technique.The sufficient conditions for the coexistence of the event generator and the switched control law to guarantee the H∞ tracking control of the switched LPV system are given.By co-designing the event generator and the switched LPV controller,the H∞ state tracking control of the reference model can be realized.The feasibility and effectivity of the method are verified by numerical simulations.Finally,the H∞ tracking control problem of the discrete-time switched LPV system based on event-triggered mechanism.is studied.Co-design of the event generator and the switched LPV controller can help to achieve the H∞ tracking control of the reference model.Then the theoretical results are applied to the switched LPV model of the aeroengine.Simulation results illustrate the feasibility and efficiency of the proposed method.更多还原