不确定时滞系统的非线性保性能控制

针对一类非线性系统和给定的性能指标，研究其保性能控制问题。基于Lyapunov稳定性理论，采用线性矩阵不等式工具，给出非线性状态反馈保性能控制器存在的一个充分条件，并依据其可行解给出相应保性能控制律的设计方法。建立一个具有线性矩阵不等式约束的凸优化问题，得到非线性系统的最优保性能控制律。仿真示例表明该方法的可行性。

Nonlinear Guaranteed Cost Control for Uncertain Systems with Time-delay

For a class of nonlinear systems with norm-bounded uncertainties and state-delay,the problem of designing a nonlinear guaranteed cost state controller is considered.Based on LMI and Lyapunov stability theory,a sufficient condition for the existence of nonlinear guaranteed cost controller is derived in terms of linear matrix inequalities,which making the closed-loop systems local stable for all admissible uncertainties and guaranteeing the cost bounded in a limitation,such that the control law of the resulti...