Induced L∞ Quantized Control for Exponential Synchronization of Complex Network Subject To Periodic Switched Coefficients

• Published in: IEEE transactions on systems, man, and cybernetics. Systems Vol. 53; no. 5; pp. 2654 - 2663
• Main Authors: Song, Jiasheng, Chang, Xiao-Heng
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.05.2023; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Coefficients; Complex network; Complex networks; Control systems design; Controllers; Dependent variables; Design criteria; dynamic quantization strategy; exponential synchronization; induced L∞ performance; Manganese; Mathematical models; Measurement; Parameters; Power system dynamics; Quantization (signal); Switches; Synchronism; Synchronization; Task analysis
• ISSN: 2168-2216; 2168-2232
• DOI: 10.1109/TSMC.2022.3218532

In this article, an induced <inline-formula> <tex-math notation="LaTeX">\mathcal L_{\infty } </tex-math></inline-formula> synchronization controller design problem is proposed for the complex network with periodic switched coefficients under the dynamic quantization scheme. A novel periodic dynamic quantization scheme is utilized to handle the transmitted control signal to avoid the undesired networked problem, in which, the variables to be designed are introduced as parameter-dependent variables corresponding to the periodic switched coefficients of the complex network to increase the flexibility. Then, by using a robust-model-based approach, the dynamics of the synchronization error are modeled by a special uncertain system. The main purpose of the problem addressed is to design a synchronization controller, such that the complex network is exponentially synchronized with an induced <inline-formula> <tex-math notation="LaTeX">\mathcal L_{\infty } </tex-math></inline-formula> performance. Sufficient conditions are established to guarantee the synchronization task. Next, the design conditions of both of synchronization controller and parameter-dependent variables related the dynamic adjustable parameter are characterized by the convex problem. An example demonstrates the proposed controller design criteria and the dynamic quantization scheme.