The Research On Model Predictive Control For Uncertain Singular Systems Via Output Feedback

Model predictive control(MPC) is a kind of computer optimization algorithm to predict the future behaviors of the controlled object, and it is widely applied in the optimal control of complex industrial processes. Singular system describes a larger class of systems than normal linear systems and the predictive control for the systems has been widely concerned. In industrial process, some reasons result in the system states being unmeasurable and the predictive control can’t be conducted based on the state feedback. So for a class of the singular systems with the parameter uncertainty and time-delay, the paper addresses the output feedback model predictive control problem by means of linear matrix inequality(LMI) and the Lyapunov stability theory.The main contents of the thesis are as follows:1)The paper studies a class of output feedback robust predictive control problem of the singular systems with the parameter uncertainty and time-delay and the system exists the time delay and the system states are unmeasured. A kind of synthesis method is used based on output feedback robust predictive controller. By Lyapunov theory, variable transformation and linear matrix inequality method, the optimal problem with a quadratic optimal index over infinite horizon is solved on-line. Meanwhile, the sufficient conditions on the existence of the dynamic output feedback control are derived, further the piecewise continuous output feedback control sequence is ensured. It is analyzed that the closed loop time-delay singular system is regular, impulse-free and robust stable.2)The output feedback robust predictive control problem is studied about a class of singular systems with parameter uncertainties and multi-delay. On the premise of meeting the performance index, by constructing a different Lyapunov function and adopting linear matrix inequality(LMI) approach, the optimization problem with infinite horizon is translated into the linear matrix inequality problem and the online robust predictive control algorithm is presented, and it is proven that the closed loop time-delay singular system is regular, impulse-free and robust stable.3)For the singular systems with parameter uncertainty and time-varying delay in practical systems, the dynamic output feedback predictive control is investigated for this class of the systems. Under the premise of the system satisfying the performance index, the delay-dependent Lyapunov function is constructed through the given derivative range of delay function. Using the method of linear matrix inequality, the optimization problem is converted into the linear matrix inequality problem. The stability of the closed-loop singular systems is analyzed and the online robust predictive control algorithm of this system is proposed.