In this study, we investigate the optimal control problem of switched nonlinear systems under mixed constraints. This issue can be solved by determining two major factors. Indeed, we need to find the optimal switched instants sequence as well as the optimal control input, minimizing a performance criterion. For this, the proposed approach consists of dividing the problem into two stages. In the first one, the Lagrange multipliers method through the Karush-Kuhn-Tucker (KKT) conditions will be used. In the second one, the metaheuristic algorithms will be employed to obtain the optimal switching instants sequence. In this framework, Genetic Algorithm (AG), Particle Swarm Optimization (PSO) Cuckoo algorithm (CA), and Crow Search Algorithm (CSA) have been suggested to be used and compared. Finally, the effectiveness of this proposed approach has been illustrated through a physical switched system that models a hydraulic system under constraints.
A Constrained Optimal Control Strategy for Switched Nonlinear Systems Based on Metaheuristic Algorithms
Studies in Systems, Decision and Control
2023-08-12
19 pages
Article/Chapter (Book)
Electronic Resource
English
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