Robust Feedback Control for a Linear Chain of Oscillators

Alexander Ovseevich () and Igor Ananievski ()
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Alexander Ovseevich: Ishlinsky Institute for Problems in Mechanics RAS
Igor Ananievski: Ipmex RAS

Journal of Optimization Theory and Applications, 2021, vol. 188, issue 1, No 15, 307-316

Abstract: Abstract We study the problem of bringing a linear chain of masses connected by springs to an equilibrium in finite time by means of a control force applied to the first mass. We describe explicitly the desired feedback control and establish its local equivalence to the minimum-time one. We prove the robustness of the control with respect to unknown disturbances and compute the time of transfer as well as its asymptotic estimate with respect to the length of the chain.

Keywords: Feedback control; Linear oscillator; Finite-time stabilization; Robustness; Orthogonal polynomials; 49N05; 49N30; 49K99; 93D15 (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s10957-020-01765-z

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