非周期图
控制理论(社会学)
椭球体
数学
有界函数
非线性系统
线性矩阵不等式
李雅普诺夫函数
控制器(灌溉)
计算机科学
应用数学
数学优化
数学分析
控制(管理)
生物
人工智能
物理
组合数学
天文
量子力学
农学
作者
Jianwei Xia,Linqi Wang,Shun‐Feng Su,Guoliang Chen,Hao Shen,Ruey-Huei Yeh
出处
期刊:IEEE transactions on systems, man, and cybernetics
[Institute of Electrical and Electronics Engineers]
日期:2023-05-01
卷期号:53 (5): 3241-3254
被引量:9
标识
DOI:10.1109/tsmc.2022.3224017
摘要
In this article, the problem of reachable set estimation (RSE) and the design of aperiodic sampled-data controller for Takagi–Sugeno fuzzy Markovian jump systems (T–S FMJSs) with unit-energy bounded disturbance (UEBD) and unit-peak bounded disturbance (UPBD) inputs are taken into consideration. First, sufficient conditions that all states of the T–S FMJSs are encompassed by ellipsoids under zero initial conditions are acquired via constructing a mode-dependent two-sided loop-based Lyapunov function and applying a linear matrix inequality approach. Second, the RSE is taken into account in the design of the state feedback aperiodic sampled-data controller with the aim that the resulting ellipsoid encompasses the reachable set of the closed-loop system. Finally, a nonlinear mass-spring model and a tunnel diode circuit model demonstrate the efficiency of the presented approach. In addition, this method is able to obtain a larger sampled-data period than other literature, thus saving bandwidth and reducing communication resources.
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