Abstract
Based on the Kharitonov criterion, a robust stability limit is constructed. Methods for calculating this limit are developed. An algorithm for designing an optimal robust control system with a given value of this limit is presented. The effectiveness of the algorithm is demonstrated by numerical examples.
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Translated by A. Mazurov
APPENDIX
APPENDIX
The mathematical models of the constraints have the following form (see Example 2):
The performance criterion is I(δ) := (1 – δ). The initial condition is δ := 0. The program code in Maple 15 for solving this problem is presented below.
Given
Constraints: Δχ1(δ) ≥ 0, Δχ2(δ) ≥ 0, Δχ3(δ) ≥ 0, Δχ4(δ) ≥ 0, δ < 1.
a := Minimize (I, δ), a = 0.18613, Δχ1(a) = 2.13211 × 104, Δχ2(a) = 0.01798, Δχ3(a) = 0.01233, Δχ4(a) = 1.46297 × 104.
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Zotov, M.G. Robust Stability Criterion and Design of Optimal Robust Systems. J. Comput. Syst. Sci. Int. 59, 161–170 (2020). https://doi.org/10.1134/S106423072001013X
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DOI: https://doi.org/10.1134/S106423072001013X