Synthesis Methodology for Discrete MIMO PID Controller with Loop Shaping on LTV Plant Model via Iterated LMI Restrictions

Autor:	Artem E. Konkov, Yuri V. Mitrishkin
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	discrete time MIMO PID LTV PLV loop shaping LMI Mathematics QA1-939
Zdroj:	Mathematics, Vol 12, Iss 6, p 810 (2024)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math12060810
Popis:	This paper presents a methodology for synthesizing discrete MIMO PID controllers through iterative solutions of LMIs. It justifies the necessity of direct synthesis of discrete controllers in digital control systems. The proposed methodology allows for synthesizing an LTI controller for an LTV plant model, ensuring the robust stability of the synthesized system. Robustness is further ensured by the small-gain theorem and a novel approach to loop shaping, enabling the use of arbitrary shape functions. As a result, this methodology provides a broad statement of the problem with performance criteria necessary for practical application in control systems. Numerical examples are used to illustrate the methodology, which is implemented using the MATLAB toolbox, freely available for use.
Databáze:	Directory of Open Access Journals
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