Dissipative analysis and control of time-varying singular systems with symmetries

Jian Li; Xiong Jiang

doi:10.1117/12.3040689

17 October 2024 Dissipative analysis and control of time-varying singular systems with symmetries

Jian Li, Xiong Jiang

Author Affiliations +

Proceedings Volume 13289, International Conference on Optical Communication and Optoelectronic Technology (OCOT 2024); 132890U (2024) https://doi.org/10.1117/12.3040689
Event: The International Conference on Optical Communication and Optoelectronic Technology (OCOT 2024), 2024, Hangzhou, China

Abstract

This paper delves into the design and analysis of output feedback controllers for dissipative linear time-varying singular systems that exhibit state-space symmetry. We detail the development of both static and dynamic symmetrical output feedback controllers, highlighting their design processes and the necessary and sufficient conditions for achieving strict dissipation. Special attention is given to the symmetry conditions that govern the effectiveness of these controllers. Additionally, we establish the criteria for system admissibility and dissipation through matrix inequalities, supported by rigorous theoretical proofs. The practical applicability of our theoretical findings is demonstrated through the implementation and testing of the controllers in simulated environments, ensuring their performance under various operational conditions. Our results indicate that the designed controllers effectively maintain the desired system properties, contributing to the stability and robust performance of time-varying singular systems.

(2024) Published by SPIE. Downloading of the abstract is permitted for personal use only.

Citation Download Citation

Jian Li and Xiong Jiang "Dissipative analysis and control of time-varying singular systems with symmetries", Proc. SPIE 13289, International Conference on Optical Communication and Optoelectronic Technology (OCOT 2024), 132890U (17 October 2024); https://doi.org/10.1117/12.3040689

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