Stability Analysis And H_? Control For Uncertain Sampled-data System With Time-delay

One the one hand,more and more controllers have been designed by using computers with the increasing application of digital computers in engineering and science,for these systems,the controllers are discrete,and the object which by controlled is usually continuous.These systems are called sampled-data system with this characteristics.On the other hand,uncertain time-delay often occur in sampled-data system because of physical inertia.Therefore,it is necessary to research the stability and design controller for the uncertain sampled-data systems with time delay.In this paper,the stability analysis and controller design of the sampled-data system are mainly carried out in the time domain.In this paper,a class of sampled-data control system is transformed into a continuous system with input time delay by using the input delay method.The sampling controller and the controller are designed by constructing the Lyapunov function,then the feasibility of the proposed theorem is proved by numerical simulation.Then,the Lyapunov function is constructed for a class of sampling control systems with input time delay.The existence conditions and the design method of robust controllers for uncertain input time delay sampled-data control systems are given.In the following part,the stability condition of a class sampled-data control system with state time-delay is given by processing the Lyapunov function based a bound inequality and a free weight matrix method.Considering the actual system often has the model uncertainty,the stability of the uncertain sampled-data system with state delay is analyzed,the corresponding bounded real lemma and the design method of H_?state feedback controller are given,and the numerical simulation shows that the proposed theorem is less conservative.Finally analyses the uncertain sampled-data system with delay in state or input,by constructing a new Lyapunov function,the robust H_?state feedback controller existence condition and the design method of such a class of sampled-data control system are given based on LMI,so that the system meets the corresponding H_?performance index under the action of the H_?controller,and the numerical simulation is given to prove the validity of the proposed theorem.To sum up,this paper starts from the sampled-data control system with no time delay,and extends to the research on the stability condition and robust H_?state feedback controller design of the uncertain sampled data control system with delay in state or input,and makes simulation and analysis verification with numerical examples.