IEEE Trans Cybern. 2018 Aug;48(8):2426-2436. doi: 10.1109/TCYB.2017.2739754. Epub 2017 Aug 25.
The problem of asynchronous dissipative control is investigated for Takagi-Sugeno fuzzy systems with Markov jump in this paper. Hidden Markov model is introduced to represent the nonsynchronization between the designed controller and the original system. By the fuzzy-basis-dependent and mode-dependent Lyapunov function, a sufficient condition is achieved such that the resulting closed-loop system is stochastically stable with a strictly ( , , )- -dissipative performance. The controller parameter is derived by applying MATLAB to solve a set of linear matrix inequalities. Finally, we present two examples to confirm the validity and correctness of our developed approach.
本文研究了具有马尔可夫跳变的 Takagi-Sugeno 模糊系统的异步耗散控制问题。引入隐马尔可夫模型来表示设计控制器与原始系统之间的不同步。通过模糊基相关和模态相关 Lyapunov 函数，得到了一个充分条件，使得闭环系统在严格的（，，）耗散性能下随机稳定。通过应用 MATLAB 求解一组线性矩阵不等式，得到了控制器参数。最后，我们给出了两个例子来验证所提出方法的有效性和正确性。
