Researches On Stability Analysis And Controller Design For Systems With Time-delay

As is known to all,with the development of information technology and the modernization,people's requirements for modern control systems is also becoming higher and higher.However,the normal linear systems are increasingly unable to meet the current development of industry and information technology,so we must develop lots of derivatives of linear control systems to solve the problems which can't be solved by normal linear systems.The time-delay system is one of derivatives of linear control systems.On the basis of the time-delay systems,in order to meet the actual needs,the time-delay system also gradually develop its own particularities which are consisted of the property of time-delay systems,uncertainty,fault-tolerant Control,and so on.It is the time-delay systems'characteristics which are not owned by normal linear systems that are more meaningful.The theory of the linear system,matrix theory knowledge and indicators of performance are also introduced.The innovative work of this paper as following:For a class of uncertain multi-time-delay linear system,robust fault tolerant control problem is researched when portions of actuators go wrong.Based on the Lyapunov stability theory and linear matrix inequality approach,a tolerant controller is designed which ensures that the closed-loop systems are asymptotically stable in many cases.The design problem of the tolerant controller is further turned into the solvability problems of a set of linear matrix inequalities.And we can use the LMI toolbox in Matlab to solve the problem.It is one of the innovations of this article.A class of memory dynamic output-feedback H_?control of systems with time-varying delay is considered.The time-delay is assumed to be a time-varying continuous function which is bounded below and above by positive constants.Under suitable assumptions,by combining linear matrix inequality approach with Lyapunov function,a sufficient condition is given for the existence of a memory dynamic output feedback controller,which guarantees that the closed-loop systems are admissible with an H_?norm is not to exceed a certain upper bound determined.