凸多面体不确定非线性变时滞系统的鲁棒无源控制

Robust passive control for time-varying delay systems with nonlinear and polytopic uncertainty

研究一类同时具有非线性摄动和凸多面体不确定性的时变时滞系统的状态反馈鲁棒无源控制问题,其中的非线性项满足一种特殊的线性界。通过构造一个Lyapunov-Krasovskii泛函,利用积分不等式及线性矩阵不等式方法,给出系统强鲁棒稳定且严格无源控制器存在的充分条件及具体的设计方法。仿真算例验证了所得结果的可行性与有效性。

Consider the problem of robust passive state feedback control of time-varying delay systems with the nonlinear perturbations and polytopic uncertainty. The nonlinear condition satisfying a kind of especial linear bound is assumed. By constructing a Lyapunov-Krasovskii functional, a sufficient condition for time-varying delay systems with the nonlinear and polytopie uncertainty to be robust asymptotically stable and strictly passive is derived by using the methods of integral inequality and linear matrix inequality technique, and an explicit approach to design the memory state feedback controller is given. Finally, a simulation example is given to illustrate the feasibility and effectiveness of the proposed approach.