Zhang Zhina, Niu Yugang, Lam Hak-Keung
IEEE Trans Cybern. 2020 Dec;50(12):4972-4982. doi: 10.1109/TCYB.2019.2941870. Epub 2020 Dec 3.
This article investigates the sliding-mode control (SMC) problem for a class of T-S fuzzy systems with communication constraints. The weighted try-once-discard (WTOD) protocol is utilized to arrange the transmission order of actuator nodes, under which only one node is permitted to obtain access to the communication network at any time. A key issue is how to integrate the WTOD protocol into the design of the SMC system. To this end, an update rule is proposed for the actuators to obtain the actual actuator signals. And then, a membership-function-dependent (MFD) sliding surface and a token-dependent sliding-mode controller are designed. By taking the information of membership functions into stability and reachability analysis, MFD sufficient conditions are derived such that both the asymptotic stability of the closed-loop fuzzy systems and the reachability of the specified sliding surface can be guaranteed. Moreover, the cone complementary linearization (CCL) algorithm is employed to convert nonlinear inequalities into a minimization problem with linear constraints. Finally, a numerical example is utilized to illustrate the proposed SMC design approach.
本文研究了一类具有通信约束的T-S模糊系统的滑模控制（SMC）问题。采用加权一次丢弃（WTOD）协议来安排执行器节点的传输顺序，在该协议下，任何时刻只允许一个节点接入通信网络。一个关键问题是如何将WTOD协议集成到SMC系统的设计中。为此，提出了一种执行器更新规则以获取实际的执行器信号。然后，设计了一个依赖隶属函数（MFD）的滑模面和一个依赖令牌的滑模控制器。通过将隶属函数信息纳入稳定性和可达性分析，推导了MFD充分条件，从而保证闭环模糊系统的渐近稳定性和指定滑模面的可达性。此外，采用锥互补线性化（CCL）算法将非线性不等式转化为具有线性约束的最小化问题。最后，通过一个数值例子来说明所提出的SMC设计方法。
