Stability and Stabilization of Delayed Fuzzy Semi-Markov Jump Systems with Incomplete Transition Rates and Quadratic Fuzzy Lyapunov Matrix via Quantized Control Design

IF 3.6 3区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS
Jiangping Zhang, Lianglin Xiong, Haiyang Zhang, Yongkun Li, Jinde Cao, Yi Zhang
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引用次数: 0

Abstract

This study examines the stability and stabilization issues of a type of state-quantized, time-varying delayed (TVD) Takagi–Sugeno (T–S) fuzzy semi-Markov jump systems. First of all, in order to obtain more information of T–S fuzzy systems, an augmented fuzzy Lyapunov–Krasovskii Functional (LKF) is formatted including a quadratic fuzzy Lyapunov matrix (QFLM). In addition, a novel quadratic polynomial inequality (QPI) is applied to narrow the estimation gap for TVD and a quantized controller is used to reduce control accuracy. Then, the sufficient conditions for system stability and stabilization via quantized controller are attained on the basis of Lyapunov stability theory and linear matrix inequalities method. Finally, three examples show how the constructed controller can successfully regulate the examined system and the proposed technique is less conservative than those of the former ones.

Abstract Image

通过量化控制设计实现具有不完全转换率和四元模糊 Lyapunov 矩阵的延迟模糊半马尔可夫跃迁系统的稳定性和稳定性
本研究探讨了一种状态量化、时变延迟(TVD)的高木-菅野(T-S)模糊半马尔可夫跃迁系统的稳定性和稳定问题。首先,为了获得 T-S 模糊系统的更多信息,对增强模糊李亚普诺夫-克拉索夫斯基函数(LKF)进行了格式化,其中包括二次模糊李亚普诺夫矩阵(QFLM)。此外,还应用了新颖的二次多项式不等式(QPI)来缩小 TVD 的估计差距,并使用量化控制器来降低控制精度。然后,在 Lyapunov 稳定性理论和线性矩阵不等式方法的基础上,通过量化控制器获得了系统稳定和稳定的充分条件。最后,三个实例说明了所构建的控制器如何能成功调节所研究的系统,而且所提出的技术比前几种技术的保守性更低。
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来源期刊
International Journal of Fuzzy Systems
International Journal of Fuzzy Systems 工程技术-计算机:人工智能
CiteScore
7.80
自引率
9.30%
发文量
188
审稿时长
16 months
期刊介绍: The International Journal of Fuzzy Systems (IJFS) is an official journal of Taiwan Fuzzy Systems Association (TFSA) and is published semi-quarterly. IJFS will consider high quality papers that deal with the theory, design, and application of fuzzy systems, soft computing systems, grey systems, and extension theory systems ranging from hardware to software. Survey and expository submissions are also welcome.
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