Quadratic Stabilizability Control Of Uncertain Delta Operator Switched Systems

Compared with the traditional shift operator,delta operator has better digital characteristics,and its further study can make it a powerful tool in the field of digital control and a bridge between discrete domain and continuous domain.In engineering practice,switched systems can simulate the complex dynamic behavior of the system effectively.Switched systems control has always been one of the hot topics in the control field.A delta operator switched system is a switched system in which each subsystem is called a delta operator system.In this thesis,all kinds of control problems of uncertain delta operator switched systems are discussed based on quadratic stability.The main contents are as follows:The quadratic stability control of uncertain delta operator switched systems is dealt with.For delta operator switched systems with convex polytopic uncertainties,the quadratic stability conditions of delta operator switched systems under appropriate state-dependent switching laws are provided.When the system has control input,combined with the pole constraint of the subsystem matrix,a state feedback controller are designed to guarantee that quadratic D-stability of the uncertain delta operator closed-loop switched system.The robust non-fragile H? control problem of uncertain delta operator switched systems is dealt with.The definition of non-fragile quadratic stability of uncertain delta operator switched systems with norm-bounded uncertainty is proposed.A state feedback controller with additive gain uncertainty is designed to guarantee that the non-fragile quadratic stability and a specifid H? performance of the closed-loop system When the state can not be measured directly.When the state is not available directly,combined with the pole constraint of the subsystem matrix,a dynamic output feedback controller with additive gain uncertainty is designed to guarantee that the closed-loop system is non-fragile quadratic D-stable,and the performance index of H? satisfies certain requirements.The guaranteed cost control problem for uncertain delta operator switched systems with time-delay is dealt with.Based on the Lyapunov stability theory,a quadratic guaranteed cost controller are designed for uncertain switched systems with time-delay,to gurantee that the quadratic stabilizability of uncertain delta operation switched systems with time-delay,the existence condition and design method of state feedback guaranteed cost controller is proposed,and the losed-loop cust index does not exceed an upper bound.