论文部分内容阅读
针对一类不确定变时滞系统,研究了其非脆弱保性能H_∞控制问题。利用Lyapunov泛函和线性矩阵不等式(linear matrix inequality,LMI)方法,分别对控制器增益具有加法式摄动和乘法式摄动2种情形进行了讨论,得到了系统存在非脆弱保性能H_∞控制律设计的充分条件,并且基于此条件给出了控制器的设计方法。仿真结果表明,控制器对变时滞和不确定参数具有鲁棒性,且对扰动具有很好的抑制能力。
For a class of uncertain time-varying delay systems, the non-fragile guaranteed H_∞ control problem is studied. The Lyapunov functional and the linear matrix inequality (LMI) are used to discuss two cases of controller gain with additive perturbation and multiplicative perturbation respectively. The system has the non-fragile guaranteed H_∞ control The sufficient condition of the law design, and based on this condition, the design method of the controller is given. Simulation results show that the controller is robust to variable time-delay and uncertain parameters, and has good ability to restrain disturbance.