离散时间区间Ⅱ型模糊双线性系统的事件驱动控制

Event-triggered control for discrete-time interval type Ⅱ fuzzy bilinear systems

针对一类带有不确定参数的复杂非线性系统,利用离散时间区间Ⅱ型模糊双线性系统进行建模。首先,采用离散事件驱动控制,设计新颖的区间Ⅱ型模糊状态反馈控制器,利用输入滞后方法,闭环系统可转化为新的事件驱动区间Ⅱ型模糊双线性时滞系统;其次,基于李雅普诺夫稳定性理论,并运用先进的矩阵不等式方法,得到闭环系统渐近稳定的充分条件和控制器的设计方法,利用序列线性规划矩阵方法(SLPMM)可求解非线性最小化问题;最后,通过数值例子验证所得结论的有效性。

This paper is concerned with the design of event-triggered bilinear controller for a class of complex nonlinear system with uncertain parameters.The nonlinear systems are modeled by interval type Ⅱ fuzzy bilinear systems.By adopting the idea of input delay method,a novel state-feedback controller is proposed.The closed-loop system is reformulated as a new event-triggered interval type Ⅱ fuzzy singular system.Based on LyapunovKrasovskii functional and some techniques on matrix inequalities,a method of event-triggered state-feedback controller design is developed for the closed-loop systems that are asymptotically stable.An iterative algorithm employing SLPMM is used to solve the nonlinear matrix inequalities.An illustrative example is provided to demonstrate the effectiveness of the results.