Research On Input-to-State Stability Of Nonlinear Systems Based On Hybrid Impulsive Control

In practical engineering control,the nonlinear systems may be effected un-avoidably by external input,then it is very significant to estimate the system state with the help of external input.The concept of input-to-state stability provides a powerful tool to achieve this purpose.In addition,compared with traditional sin-gle impulsive control,hybrid impulsive control describes an novel impulsive control strategy,which allows the existence of destabilizing impulses and has a degree of fault-tolerant.Hence,hybrid impulsive control has a wider range of application-s.Over the last few decades,exploring the input-to-state stability of nonlinear systems via hybrid impulsive control has become a hot spot in engineering field.This paper mainly considers the input-to-state stability of nonlinear systems based on hybrid impulsive control.The main works of this paper are as follows:In Chapter 1,we introduce the background of our research,some useful lem-mas and definitions,and the main works of this paper.In Chapter 2,we investi-gate the input-to-state stability property of nonlinear switched systems based on incommensurate impulse effects,where the hybrid effects of stabilizing impulses and destabilizing impulses are taken into account.By establishing the relation-ship among impulsive signal,average dwell time,and system growth(decay)rate,some sufficient conditions are provided to cope with the problem of input-to-state stability.Finally,two examples with their simulations are given to illustrate the effectiveness of our results.In Chapter 3,we study the property of input-to-state stability of nonlinear impulsive systems with delayed hybrid impulses.By exploring the effects of delayed hybrid impulses on input-to-state stability and establishing the relationship between impulsive frequency and the time delay existing in hybrid impulses,a set of Lyapunov-based sufficient conditions ensuring input-to-state sta-bility are obtained.Two illustrative examples are presented,with their numerical simulations.to demonstrate the effectiveness of the main results.Chapter 4is con-cerned with the case that the states of nonlinear systems are not fully available.An observer-based event-triggered mechanism is designed with the hope of reducing the burden of the communication and controller updating.By using impulsive con-trol strategy,the input-to-state stability is finally obtained.A numerical example is provided to illustrate the effectiveness of the obtained theoretical results.