This article is cited in 2 papers

Robust, Adaptive and Network Control

Analytical synthesis of an amplitude-constrained controller

L. T. Ashchepkov

Far Eastern Federal University, Vladivostok, 690090 Russia

Abstract: We consider a time-invariant optimal control problem of a new linear-quadratic type on the positive time axis with an amplitude constraint on the control. Using sufficient optimality conditions, we find an optimal positional control with a discontinuity on a subspace of the state space. The motion of the closed-loop system on the subspace in the sliding mode is investigated. The exponential stability of the closed-loop system is shown. Examples are given.

Keywords: optimal control, linear-quadratic problem, optimal synthesis, sliding mode, exponential stability.

Presented by the member of Editorial Board: L. B. Rapoport

Received: 21.10.2021
Revised: 15.02.2022
Accepted: 31.03.2022

DOI: 10.31857/S0005231022070030

 English version: Automation and Remote Control, 2022, 83:7, 1050–1058