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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.
In this paper, we discuss the problem of a class of asynchronous output control based on generalized passive in a switched system with time-varying delays. The improved free-form matrix method is adopted and a new random Lyapunov-Krasovskii functional is chosen to reduce the conservativeness. Feedback controller and delay error feedback controller to eliminate the influence of external disturbances in combination with the external system.The Ito formula is used to deal with stochastic problems.With the average dwell time method, the free-weight matrix technique and the Jensen integral inequality, Sufficient Conditions for Solvability of Output Regulation Based on Generalized Passivity Finally, two numerical examples are used to verify the effectiveness of the proposed method.