不确定非线性时变时滞系统的可靠H_∞控制

Reliable H_∞ control for uncertain nonlinear with time-varying delay system

研究了不确定非线性时变时滞系统的可靠H∞控制问题。系统考虑了状态滞后、参数的不确定性、非线性及外部扰动。参数不确定性满足匹配条件,同时非线性满足有界条件。目的是设计一个状态反馈控制器,对于所有可允许的不确定性,使得当部分执行器失效时,系统仍能保持渐近稳定。基于Lyapunov泛函方法,通过求解一个线性矩阵不等式就可得到可靠H∞状态反馈控制器。用数值算例及仿真结果验证了所给方法的有效性。

The problem of reliable H∞control for uncertain nonlinear with time-varying delay system was studied. The system considered state time-delay, parameter uncertainties, nonlinearities and external disturbances. The uncertainties are assumed to .satisfy the match condition, and the nonlinearities are assumed to satisfy the frontier condition. The purtpose is to design the state feedback controller for all admissible uncertainties, if part actuator failures occurs, the system still can keep exponentially stable. Based on Lyapunov method,the controller can be obtained by .relying the LMI The example and simulation result verifies the validity of this approach.