A prescribed-performance-based adaptive finite-time tracking control scheme circumventing the dependence on the system initial condition

Hui Liu and Xiaohua Li

Applied Mathematics and Computation, 2023, vol. 448, issue C

Abstract: This paper is concerned with the prescribed finite-time tracking control problem for a class of nonlinear systems with unknown initial condition, state time-varying delays and external disturbances. A new adaptive prescribed finite-time tracking control scheme bypassing system initial condition is proposed via the prescribed performance method. Several nonlinear mapping functions (NMFs) and a new prescribed finite-time performance function (PFTPF) combining finite-time control with prescribed performance control are constructed to obtain the scheme. In this paper, the assumptions on the time-delay terms are removed by means of the designed Lyapunov–Krasovskii functions. In addition, to avoid step impact effect arisen by an overlarge initial control input, a control input with zero initial value is obtained. Aiming at the design of zero initial control input, a new Lyapunov stability criterion form is put forward. Two practical examples are presented to confirm the effectiveness and superiority of the proposed scheme.

Keywords: Prescribed-performance-based finite-time control; Nonlinear systems; Time-varying delays; Unknown initial condition; Nonlinear mapping functions; Prescribed finite-time performance function (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:448:y:2023:i:c:s0096300323000814

DOI: 10.1016/j.amc.2023.127912

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