Memory Information Characteristic-based Controller Design And Asynchronous Tracking Control For Multi-delays Jump Systems Under Hmm Mechanism

With the rapid development and wide application of modern control theory,Markovian jump system has attracted more and more scholars’attention and research.As a kind of special switch system,Markovian jump system can effectively describe the sudden change of system structure and parameters caused by the system itself and external random disturbance,which has great advantages in describing target tracking system,aerospace system,network communication system and other practical systems.The purpose of this paper is to research the feedback control with memory information characteristics(delayed/P-D),asynchronous tracking control,mixed H_∞and passive control for neutral Markovian jump systems and Takagi-Sugeno(T-S)fuzzy Markovian jump systems with uncertain parameters and multiple time-varying delays.Via designing Lyapunov Krasovskii(L-K)functional and using free weight matrix technique,the improved stability conditions are obtained.The thesis mainly includes the following aspects:1.This chapter investigates the problem of robust H_∞exponential mean square stabilisation for uncertain Markovian jump systems with time-varying and mode-dependent delays based on feedback control with memory information characteristics.Attention is focused on the design of feedback controller with memory information characteristics for uncertain Markovian jump systems with time-varying and mode-dependent delays such that the closed-loop uncertain Markovian jump systems satisfies robust H_∞exponential mean square stability.The improved conditions for the solvability of the feedback control with memory information characteristics problem are obtained via designing mode-dependent and delay-dependent L-K functional.The desired feedback controller with memory information characteristics is given by solving linear matrix inequalities(LMIs).Two simulation examples including a numerical example and a practical example of the industrial non-isothermal continuous stirred tank reactor are used to demonstrate the effectiveness and usefulness of the feedback control with memory information characteristics technique that this chapter proposes.2.This chapter researches the strict dissipative control problem for uncertain fuzzy neutral Markovian jump systems by T-S fuzzy rules.The asynchronous phenomenon is considered between the uncertain fuzzy neutral Markovian jump systems modes and asynchronous fuzzy P-D feedback controller modes,which is described by a HMM.Via using LMIs,the desired asynchronous fuzzy P-D feedback controller is obtained,which can ensure that the closed-loop uncertain fuzzy neutral Markovian jump system satisfies robustly exponential mean square stabilization with strict dissipativity.A numerical example and a single-link robot arm are utilized to demonstrate the effectiveness of the method.3.This chapter dealt with the problem of output tracking for neutral Markovian jump systems with multiple delays based on time-delay non-fragile asynchronous feedback control.Attention is focused on the design of time-delay non-fragile asynchronous feedback controller to ensure that the closed-loop system is stochastically stabilization and meets an expected mixed H_∞and passivity performance index.The modes of devised time-delay non-fragile asynchronous feedback controller are assumed to run asynchronously with neutral Markovian jump systems,which is described by a HMM.The sufficient conditions for the solvability of time-delay non-fragile asynchronous feedback control problem are obtained based on decomposed free weighting matrices(FWM)technique and LMIs.The usefulness and effectiveness of output tracking based on time-delay non-fragile asynchronous feedback controller are demonstrated by a numerical example and a practical example of neutral partial element equivalent circuit.