Undiscounted reinforcement learning for infinite-time optimal output tracking and disturbance rejection of discrete-time LTI systems with unknown dynamics

Amirparast, Ali; Sani, Seyed Kamal Hosseini

doi:10.1080/00207721.2023.2221240

International Journal of Systems Science

2023

DOI: 10.1080/00207721.2023.2221240

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Undiscounted reinforcement learning for infinite-time optimal output tracking and disturbance rejection of discrete-time LTI systems with unknown dynamics

Ali Amirparast

Seyed Kamal Hosseini Sani

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2024

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Cited by 4 publications

References 26 publications

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Off‐policy reinforcement learning algorithm for robust optimal control of uncertain nonlinear systems

Amirparast,

Kamal Hosseini Sani

2024

Intl J Robust & Nonlinear

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In this article an optimal control scheme is proposed to solve robust control problem for matched and unmatched system. In the proposed optimal approach the value functions are designed such that the obtained optimal control law guarantees asymptotic stability of the uncertain nonlinear system. Since the proposed robust optimal control problem is not straightforward to solve, an off‐policy reinforcement‐learning algorithm based on neural networks approximation is developed to obtain robust optimal control law iteratively. The robust control law for matched uncertain systems can be achieved via proposed off‐policy learning algorithm without requiring exact knowledge of system's dynamics. The advantages of the proposed robust optimal controller are verified by comparative simulations on an uncertain model of a car suspension system and a mathematical nonlinear model.

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Off‐policy reinforcement learning algorithm for robust optimal control of uncertain nonlinear systems

Amirparast,

Kamal Hosseini Sani

2024

Intl J Robust & Nonlinear

Self Cite

View full text Add to dashboard Cite

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LQR controller design for affine LPV systems using reinforcement learning

Ranjbarpur,

Atrianfar,

Bagher Menhaj

2024

International Journal of Systems Science

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Infinite-time robust optimal output tracking of continuous-time linear systems using undiscounted reinforcement learning

Amirparast,

Kamal Hosseini Sani

2024

International Journal of Systems Science

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Undiscounted reinforcement learning for infinite-time optimal output tracking and disturbance rejection of discrete-time LTI systems with unknown dynamics

Cited by 4 publications

References 26 publications

Off‐policy reinforcement learning algorithm for robust optimal control of uncertain nonlinear systems

Off‐policy reinforcement learning algorithm for robust optimal control of uncertain nonlinear systems

LQR controller design for affine LPV systems using reinforcement learning

Infinite-time robust optimal output tracking of continuous-time linear systems using undiscounted reinforcement learning

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