一类基于广义无源性的随机切换时滞系统的异步输出调节问题

Asynchronous Output Regulation of Switched Stochastic Time-Delay Systems Based on Generalized Passivity

文章讨论一类具有时变时滞的随机切换系统基于广义无源性的异步输出调节问题.采用改进的自由权矩阵方法并且选择新的随机Lyapunov-Krasovskii泛函来降低保守性.设计时滞全息反馈控制器和时滞误差反馈控制器,结合外部系统来消除外部扰动的影响.采用伊藤公式来处理随机问题.结合平均驻留时间方法、自由权矩阵技术、Jensen积分不等式,在异步切换下得到基于广义无源性的输出调节问题可解的充分条件.最后,用两个数值例子验证所给方法的有效性.

This paper focuses on asynchronous output regulation for a class of switched stochastic systems with time-varying delays based on a generalized passivity. hnproved free-weighting-matrix approach and new Lyapunov-Krasovskii functionals are used to reduce conservatism. The full information feedback controllers and er- ror feedback controllers with time-varying delays are designed which are respectively combined with exosystem to eliminate disturbance. Stochastic problem is solved by using It5 equation. Combining average dwell time method, free-weight-matrix tech- nique and Jensen＇s integral inequality derives sufficient conditions which guarantee the solvability of asynchronous output regulation based on the generalized stochastic pas- sivity under asynchronous switching. Finally, two numerical examples are presented to prove the effectiveness of the developed results.