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1- Department of Mathematics, Payame Noor University(PNU),P.O.Box19395-4697
2- professor Ferdowsi University of Mashhad
3- , Department of Electrical Engineering, Quchan University of Technology
Abstract:   (336 Views)
Designing the optimal controller for continuous-time bilinear systems with known system dynamics according to Bellman's optimality principle has a high computational complexity, and generally, approximate methods dependent on knowing the system dynamics are used for controller design. When the system dynamics are unknown, this issue will be more complicated. The first solution to overcome this is to use identification methods to identify the bilinear system dynamics. As we know, the identification methods provide the designer with a linear model based on the input and output data of the system to go to the controller design. In this paper, using an online and adaptive policy iteration, a new iterative method is proposed to design an optimal controller for a bilinear system, whose dynamics are unknown. In the proposed iterative method, instead of knowing the dynamics of the bilinear system, the optimal controller is designed by using the online input information and measurement of states. Also, by applying noise as an input for the system in a certain time interval, the need to measure the states for the next iterations is eliminated. The convergence of the adaptive iterative process to the optimal controller has been presented and proved in a theorem.
     
Type of Article: Research paper | Subject: Special
Received: 2023/10/8 | Accepted: 2024/03/2 | ePublished ahead of print: 2024/04/13

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