Stabilizations And H_? Control For Switched LPV Systems And Researches On Control Design Of Aero-engines

Switched systems are an important and special class of hybrid systems.Switched linear parameter varying(LPV)systems are a combination of switched systems and LPV systems.Switched LPV systems arise in the engineering practice and have received a lot of attention due to their wide application backgrounds and great theoretical significance.As a result,there are a large number of research results.Stability analysis is a main concern for switched LPV systems.It is worth noting that the interaction of the continuous dynamics and the discrete dynamics also occurs in switched LPV systems,which is consistent with general switched systems without scheduling parameters.Nevertheless,there exists the influence of scheduling parameters to the switched LPV systems.Therefore,there are more difficulties occurring in the investigation of the switched LPV systems than that in general switched linear systems.This is owing to the fact that not only the sub-controllers and switching laws of switched LPV systems needed to be determined,but also parameters are needed to be tackled.In practice,the precise measurement values of parameters are hardly obtained.Furthermore,the problem of transmitting relevant signals to controllers is needed to be considered.Therefore,the event-triggered control of switched LPV systems has played a vital role in the control field.Forced by the importance of theory and practice together with numerous difficulties which need to be solved,more studies on the switched LPV systems are required.This paper focuses on the stabilization problem and H_? control problems for the switched LPV system.H_? control problems include the H_? tracking problem and the H_? filter problem.Based on the H_? filter,the fault detection and control is studied.In addition,the stabilization problem under the event triggering mechanism is investigated in this paper.The main theoretical results are as follows:1.In Chapters 3 and 4,we investigate the H_? tracking control problem for the switched LPV system.We also study the disturbance tolerance control problem and the L2-gain analysis problem for the switched LPV system which is subjected to actuator saturation.Considering the fact that the switched LPV system are afected by the scheduling parameters,a parameter dependent switching law together with a controller are constructed by using the parameter dependent multiple Lyapunov functions technique.Also,sufficient conditions on the solution to the problems are given.The designed switching law can sufficiently reflect the influence of the scheduling parameters.2.The filter problem of the switched LPV system is studied in Chapter 5.First,we design the H_? filters.Then,the controllers and the switching law are designed which both depend on the state of the filter and the scheduling parameters.Based on the parameters dependent multiple Lyapunov functions method,the sufficient condition to the H_? filter problem is given.Even if the problem is unsolvable for each subsystem,we can still solve the H_? filter problem for the switched LPV system.3.In Chapter 6,we research the fault detection problem for the switched LPV system with inaccurate measurement values of scheduling parameter by co-designing the controller and the filter.Due to the influences of the noise and the measuring errors,we may not get the accurate measurement value of the scheduling parameter,we design the fault detection filter and the controller which depend on the inaccurate measurement value of the scheduling parameter.Furthermore,we give a suficient condition on the H-?fault detection problem.Although the measurement value of the scheduling parameter is inaccurate and the state of system is unmeasured,the fault detection problem of the switched LPV system is still solvable.In addition,we take advantage of the mode-dependent average dwell time method,which makes that each subsystem has its own average dwell time.This increases the flexibility of the design and reduces the conservatism of the condition.4.Chapter 7 devotes to the investigation of the event triggered control problem for the switched LPV system.The sample values of the parameter and the state of the system are transmitted to the controller via an event trigger mechanism,which is on the premise of ensuring the performance of the system.The assumption which the parameters of the controller are measurable in real-time is relaxed.Based on the fact that whether system controllers are pre-designed or not,we design two kind of event triggering mechanisms.(?)The event triggering mechanism which is dependent on the system state and the scheduling parameter.(?)The event triggering mechanisms are for the state and the scheduling parameter,respectively.The proposed event triggering mechanism decrease the number of the event trigger,and meanwhile,we do not need to give the event triggering mechanism of the parameter beforehand.To avoid the frequent event triggering,the positive lower bound of the triggering time interval is obtained.Applying the average dwell time scheme,we derive the input-state-exponential stability result of the closed-loop switched LPV system with respect to the measurement error.