Dissipative Analysis And Control Of Time-varying Descriptor Systems With State-space Symmetry

Driven by the rapid development of aerospace,network control,robotics and other fields,the time-varying descriptor systems is concerned by many scholars,especially the structure of time-varying descriptor systems and related control problems are discussed,many important achievements and valuable.The theory of dissipativity directed towards the analysis and synthesis of physical systems,it is also provide an appropriate framework for less conservative robust control design.Time-delay systems are often used in information exchange and multi target tracking in wireless sensor networks.The main work of this dissertation is as follows:This dissertation investigates the dissipative control problem of linear time-varying descriptor systems with state-space symmetry.Firstly,based on the Lyapunov function theory and LMI linear matrix inequality method,a sufficient and necessary condition of strictly dissipative is given.Secondly,we design the output feedback controller for descriptor time-varying systems with state-space symmetry.In addition,we also provide the optimal value for which the given system satisfies the mixed H? and positive real performance.This dissertation investigates the problems of admissibility and stabilization for time-varying linear descriptor systems with time delay.Firstly,the generalized Lyapunov inequality,linear matrix inequality and equivalent transformation based on constraints,a Lyapunov inequality for time-varying linear descriptor system with time delay is established.The admissibility problem of time-delay descriptor time-varying systems is transformed into the problem of Lyapunov inequality for time-delay descriptor systems.The sufficient condition of admissibility is obtained for the given systems.Furthermore,the class of the problem of stabilization is considered and presents a design method of state feedback stabilization.