4.4 Article

Semi-globally practical finite-time stability for uncertain nonlinear systems based on dynamic surface control

Journal

INTERNATIONAL JOURNAL OF CONTROL
Volume 94, Issue 2, Pages 476-485

Publisher

TAYLOR & FRANCIS LTD
DOI: 10.1080/00207179.2019.1598579

Keywords

Semi-globally practical finite-time stability; dynamic surface control; adding a power integrator; backstepping

Funding

  1. China Scholarship Council [201606080044]
  2. National Natural Science Foundation of China [61773108, 61503222]
  3. Natural Sciences and Engineering Research Council of Canada [RGPIN-201705367]

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This paper investigates a semi-globally practical finite-time stability (SGPFS) problem for a class of uncertain nonlinear systems by combining dynamic surface control (DSC) and adding a power integrator (AAPI). A less-complex finite-time control algorithm is presented with the aid of DSC, making the closed-loop system SGPF-stable. Two examples are provided to demonstrate the feasibility and effectiveness of the proposed design technique.
In this paper, a semi-globally practical finite-time stability (SGPFS) problem is investigated for a class of uncertain nonlinear systems. Two well-known control techniques, dynamic surface control (DSC) and adding a power integrator (AAPI), are combined to obtain the semi-globally practical finite-time controller. With the aid of DSC, a less-complex finite-time control algorithm is presented, which makes the closed-loop system SGPF-stable. Two examples are provided to explain the feasibility and effectiveness of the proposed design technique.

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