Robust Stability Of Time-delay Lurie Control System With Uncertainty

Lurie control system is an important nonlinear system, its nonlinear terms meet certain condition in the finite sectorial domains. So it can be transfered the nonlinear system to linear system. Such that the research for the stability of Lurie control system are simpler to a large extent. Lurie control system have been widely applied in many practical engineering. For instance aerospace vehicle control, aviation and aerospace, hydraulic control, etc may involve the control of system. Therefore the research for Lurie control system has broad realistic meaning. Technics for lurie control system directly considered the state feedback and output feedback. List as fellow:(1) Delay-dependent absolute stability of Lurie direct and indirect control systems for a class of continuous distributed delay is studied in this paper.(2)Delay-dependent robust stabilization and guaranteed cost controller design problem are studied in this paper. Applying Lyapunov-Karsovskii functional method and Matrix inequality approach, we have obtained stabilization of delay-dependent sufficient condition via state feedback stabilization for Lurie control systems. And the system's guaranteed cost control has also been discussed. And a specific controller has obtained.(3) The sufficient condition for the absolute stability of the system and the existence of non-fragile guaranteed cost Hm controller is obtained via Lyapunov function, integral inequality and free-weighting matrix methods. Based on the feasible solution of linear matrix inequality approach, for either additive or multiplicative perturbations of the non-fragile cost H∞controller are constructed.(4) The design of output feedback controller for Lurie system with uncertain parameter is discussed. For allowed time-delay boundary and sectorial domains, the closed-loop system have been asymptotically stable and satisfied the H∞performance indexes by constructing an appropriate Lyaunov functional and using LMI approach. And controller can be obtained by solving corresponding linear matrix inequality. (5) The designing problem of a non-fragile H∞filter for Lurie control system with delay is considered. The sufficient condition of the existence of non-fragile H∞filter is given by using linear matrix inequality and constructing an appreciate Lyapunov functional. The designed full order filters is with multiplicative controller gain variation...