Multi-Objective Optimal Control for Uncertain Singularly Perturbed Systems

This paper studies the passive multi-objective optimal control of uncertain singularly perturbed systems. First, the uncertainty is described in a norm-bounded way, and then the state space model of the system is determined. Further time, the problem of passivity can also be transformed into a linea...

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Bibliographic Details
Main Authors: Lei Liu, Shaofan Feng
Format: article
Language:EN
Published: IEEE 2021
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Online Access:https://doaj.org/article/bb139b1d7de946ea85f4367e732e28c7
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Summary:This paper studies the passive multi-objective optimal control of uncertain singularly perturbed systems. First, the uncertainty is described in a norm-bounded way, and then the state space model of the system is determined. Further time, the problem of passivity can also be transformed into a linear quadratic performance index problem. According to the Lyapunov stability theory, the system robust stability criterion is derived, based on the above conclusion, the corresponding parameterized passive multi-objective controller is designed using state feedback, and the weight matrix and the minimum performance index are solved based on the optimal control theory. Finally, a numerical example is given to illustrate the correctness and feasibility of the control method.