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Topical issue
Suppressing exogenous disturbances in a discrete-time control system as an optimization problem
M. V. Khlebnikov Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
Abstract:
This paper proposes a novel approach to suppressing bounded exogenous disturbances in a linear discrete-time control system by a static state- or output-feedback control law. The approach is based on reducing the original problem to a nonconvex matrix optimization problem with the gain matrix as one variable. The latter problem is solved by the gradient method; its convergence is theoretically justified for several important special cases. An example is provided to demonstrate the effectiveness of the iterative procedure proposed.
Keywords:
linear discrete-time system, exogenous disturbances, output feedback, state feedback, optimization, gradient method, Newton’s method, convergence.
Citation:
M. V. Khlebnikov, “Suppressing exogenous disturbances in a discrete-time control system as an optimization problem”, Avtomat. i Telemekh., 2023, no. 10, 104–117; Autom. Remote Control, 84:10 (2023), 1221–1231
Linking options:
https://www.mathnet.ru/eng/at16224 https://www.mathnet.ru/eng/at/y2023/i10/p104
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Abstract page: | 48 | References: | 14 | First page: | 8 |
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