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利用Lyapunov稳定性定理和线性矩阵不等式工具,讨论了一类不确定时滞系统的非线性H∞控制问题.设计的非线性H∞控制器可由线性矩阵不等式的解给出.进一步,建立一个具有线性矩阵不等式约束的凸优化问题,得到了不确定时滞系统的最优状态反馈H∞控制律.仿真示例表明了该方法的可行性.
The nonlinear H∞ control problem for a class of uncertain systems with time-delay is discussed by means of the Lyapunov stability theorem and the linear matrix inequalities. The designed nonlinear H∞controller can be given by the solution of the linear matrix inequalities.Furthermore, The optimal state feedback H∞ control law for uncertain systems with time-delay is obtained. The simulation example shows the feasibility of this method.