具有执行器故障的广义T-S模糊马尔可夫跳变系统的鲁棒（Q，S，R）-γ-耗散动态输出反馈滑模控制

IF 4.2 3区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-05-24 DOI:10.1016/j.jfranklin.2025.107745

Juan Zhou, Yi Chen, Yuan Yuan

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引用次数: 0

摘要

研究了具有模相关时变时滞和执行器故障的T-S模糊奇异马尔可夫跳变系统的动态输出反馈耗散控制问题。首先，提出了一种新的模糊滑模流形函数，消除了对系统矩阵的严格假设和以往积分滑模控制（SMC）在实际应用中的局限性；其次，利用改进的Lyapunov函数，导出了具有mdtvd的SMJSs随机可容许性的充分条件。此外，利用正交互补技术和线性矩阵不等式求解了自由度稳定性问题。最后，对某载重挂车系统进行了仿真，验证了本文方法的有效性。

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Robust (Q,S,R)-γ-dissipative dynamic output feedback sliding mode control for descriptor T–S fuzzy Markovian jump systems with actuator faults

This paper researches the problem of dynamic output feedback (DOF) dissipative control for T–S fuzzy singular Markovian jump systems (FSMJSs) with mode-dependent time varying delays (MDTVDs) and actuator faults. Firstly, a new fuzzy sliding mode manifold function is proposed for eliminating strict assumptions of system matrices and limitations of previous integral sliding mode control (SMC) in practical applications. Secondly, by utilizing the improved Lyapunov function, sufficient conditions for stochastic admissibility of SMJSs with MDTVDs are derived. In addition, the problem of DOF stability is solved by using orthogonal complementarity technique and linear matrix inequality. Finally, the simulation results of a truck–trailer system demonstrate the validity of the method in this article.

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来源期刊

Journal of The Franklin Institute-engineering and Applied Mathematics 工程技术-工程：电子与电气

CiteScore

7.30

自引率

14.60%

发文量

586

审稿时长

6.9 months

期刊介绍： The Journal of The Franklin Institute has an established reputation for publishing high-quality papers in the field of engineering and applied mathematics. Its current focus is on control systems, complex networks and dynamic systems, signal processing and communications and their applications. All submitted papers are peer-reviewed. The Journal will publish original research papers and research review papers of substance. Papers and special focus issues are judged upon possible lasting value, which has been and continues to be the strength of the Journal of The Franklin Institute.