针对状态可测的一类不确定离散时间非线性时滞系统,基于新的稳定性条件研究其鲁棒控制问题。采用T—S模型对非线性系统进行建模,根据李雅普诺夫稳定性理论,以线性矩阵不等式(LMI)的形式,利用分散化并行分布补偿(PDC)的方法设计了控制器,给出了实现该非线性系统控制的充分条件。并通过数值仿真对提出的方法进行了验证,仿真结果表明了该方法的正确性。
For the robust control problem of a class of discrete-time nonlinear time-delay system in the presence of parametric uncertainties, the problem on designing a robust controller based on new stabilization conditions was studied. The Takagi-Sugeno (T-S) fuzzy model was adopted for fuzzy modeling of the system. According to Lyapunov stability theory, the scheme of decentralized PDC (Parallel Distributed Compensation) fuzzy control was used to have designed the controller via LMI method. A rigorous proof was given to show that the sufficient condition proposed ensured robust control of the system. The LMI method was tested by numerical simulation. Numerical simulation expatiated the correctness of the method.