Finite-time optimal tracking control using augmented error system method

Di Wang, Can Liu, Dawei Ding, Suixiang Gao and Ming Chu

Applied Mathematics and Computation, 2022, vol. 424, issue C

Abstract: This paper proposes a design method of finite-time optimal tracking controller for quadratic performance index. A novel nonlinear finite-time optimal controller is designed to solve the finite-time optimal tracking control problem for linear system. By applying augmented error system method and finite-time optimal state feedback control, sufficient conditions involving V-function are obtained, and eventually, a nonlinear controller based on the V-function is derived. In addition, the construction of a specific V-function satisfying those conditions is discussed in detail. The nonlinear controller which we introduced makes closed-loop system finite-time stable, so that the tracking error of original system converges in finite time. The simulation example illustrates the efficiency of our results.

Keywords: Tracking control; Augmented error system; Finite-time control; Quadratic performance index (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:424:y:2022:i:c:s0096300322000996

DOI: 10.1016/j.amc.2022.127013

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