一类带有混合噪声的非线性随机时滞系统鲁棒L_1控制

Robust L_1 Controller for Nonlinear Stochastic Time-delay System with Mixed Noises

针对一类带有混合噪声的非线性连续不确定随机时滞系统,研究了鲁棒L_1控制器的设计问题。通过构造时滞依赖的Lyapunov函数,利用积分不等式方法,建立系统在均方意义下渐近有界的充分条件,并在此基础上设计控制器,使闭环系统均方渐近有界且输出峰值小于给定的L_1性能指标γ。基于LMI技术,将鲁棒L_1控制问题转化为凸优化问题,并通过一组线性矩阵不等式予以解决。最后,通过数值仿真验证了所设计控制器的有效性。

Regarding the nonlinear stochastic time-delay system with mixed noises, the design of robust L1 controller was studied. By adopting the integral inequality method, a delay-dependent L1 criterion was con- structed to derive sufficient conditions that guaranteeing the considered systems to be mean-square asymptotically bounded, and furthermore, the robust L, controller was designed to make closed-loop system＇ s meansquare asymptotic and the output value less than performance index T of the given L1. Based on the LMI tech- nique, the robust L1 control can be converted into a convex optimization problem and determined by solving a group of linear matrix inequalities. The numerical simulation certifies the effectiveness of this controller designed.