The Stability Analysis And Controller Design For Linear Networked Control Systems

In this paper, we study the stability analysis and controller design for the networked control systems, the main content is as follows:The guaranteed cost controller design for NCS with network-induce delay less than one sampling period is given. Aiming at the discrete model of closed-loop NCS, the uncertainty caused by loop time-delay is transformed into the matrix parameter uncertainty of the equation of the controlled plant, according to the guaranteed cost controller design method based on LMI, the state feedback guaranteed cost controller is ultimately designed, which can ensure the closed-loop NCS asymptotical stability.When network is inserted from sensor to the controller and from the controller to the actuator, we consider the modeling and controller design for the NCS with both the whole network-induce delay less than one sampling period and existence of data packet dropout. In fact, such kind of NCS can be modeled as a class of asynchronous dynamical systems constrained by the configuration event rate. Based on Lyapunov function and linear matrix inequation, the sufficient condition for the NCS which is subjected to exponential stability and the design of the dynamic output feedback controller are given. At the end of this section we obtain the maximum of the decay rate using genetic algorithm.When sensor and actuator are time-driven, controller is event-driven, we consider the state feedback controller design for the NCS with the maximum of the whole network-induce delay longer than one sampling period. The NCS is regarded as a time-delay system, and a Lyapunov—Krasovskii function is designed for the NCS. By adding some appropriate zero terms to the deviation of V and constructing a linear matrix inequality, the delay-dependent sufficient condition is derived to ensure the closed-loop NCS's asymptotical stability. Compared with the precious work in reference [24], our method is less conservative. Further the design method of the H_∞ controller for the NCS is presented .With both the network-induce delay and data packet dropout considered, the...