Robust decentralized regulation for linear time-varying interconnected systems via time-varying Riccati equations

Zheng Ji Mao; Zhen Heng Lin

doi:10.1117/12.2685745

21 July 2023 Robust decentralized regulation for linear time-varying interconnected systems via time-varying Riccati equations

Zheng Ji Mao, Zhen Heng Lin

Author Affiliations +

Proceedings Volume 12717, 3rd International Conference on Artificial Intelligence, Automation, and High-Performance Computing (AIAHPC 2023); 1271721 (2023) https://doi.org/10.1117/12.2685745
Event: 3rd International Conference on Artificial Intelligence, Automation, and High-Performance Computing (AIAHPC 2023), 2023, Wuhan, China

Abstract

This paper introduces a robust decentralized regulation approach of linear interconnected time-varying systems. If the optimal optimization problems of time-varying systems are considered, the solution of time-varying Riccati differential equation should be involved and pre-calculated. The weighting parameters of the optimal performance index in this paper are all time varying. The optimal solution relies on the initial conditions of the solutions of Riccati differential equations, and these initial conditions are derived by the backward Euler’s method. Then the obtained optimal control gain is modified to accommodate the interactions among the subsystems. The overall system is mathematically proved to be exponentially stable with a prescribed degree of stability. Computer simulations of a time-varying example composed of three subsystems are conducted to demonstrate the feasibility of this approach.

Citation Download Citation

Zheng Ji Mao and Zhen Heng Lin "Robust decentralized regulation for linear time-varying interconnected systems via time-varying Riccati equations", Proc. SPIE 12717, 3rd International Conference on Artificial Intelligence, Automation, and High-Performance Computing (AIAHPC 2023), 1271721 (21 July 2023); https://doi.org/10.1117/12.2685745

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