带状态时滞和输入时滞的不确定非线性系统的鲁棒H_∞控制

Robust H_∞ Control for Uncertain Nonlinear Dynamic Systems With Time-varying Delays in State and Control Input

针对一类带有状态时滞和输入时滞的不确定非线性系统,研究了鲁棒H∞控制问题.在适当的假设下利用Lyapunov稳定性方法,并采用一个新的积分不等式方法,用线性矩阵不等式的形式给出了系统鲁棒能稳和鲁棒H∞控制的时滞依赖条件,其保守性小于已有的结果.最后给出数值例子验证了所给结论的可行性和有效性.

The paper considers robust H∞ control problem for uncertain nonlinear dynamic systems with time-varying delays in state and control input. Based on the proper Lyapunov functional and using a new integral inequality,delay-dependent robust stabilization criteria and robust H∞ control are proposed for such systems in terms of Linear matrix inequality （LMIs）,which is less conservative than existing results. Finally,a numerical example is given to illustrate the feasibility of the designed method.