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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。
A class of state feedback robust passive control problems for a class of time-varying delay systems with both nonlinear perturbations and convex polytopic uncertainties is studied. The nonlinear term satisfies a special linear bound. By constructing a Lyapunov-Krasovskii functional and using integral inequality and linear matrix inequalities, sufficient conditions and specific design methods for robust robust and strictly passive systems are given. Simulation results show the feasibility and validity of the results obtained.