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access icon free New approach to second-order sliding mode control design

  • Author(s): Shihong Ding 1, 2 ; Shihua Li 2 ; Wei Xing Zheng 3
    • View affiliations
    • Affiliations: 1: School of Electrical and Information Engineering, Jiangsu University, Zhenjiang, Jiangsu 212013, People's Republic of China;
      2: Key Laboratory of Measurement and Control of Complex Systems of Engineering, Ministry of Education, Southeast University, Nanjing, Jiangsu 210096, People's Republic of China;
      3: School of Computing, Engineering and Mathematics, University of Western Sydney, Penrith NSW 2751, Australia
  • Source: Volume 7, Issue 18, 12 December 2013, p. 2188 – 2196
    DOI:  10.1049/iet-cta.2013.0394 , Print ISSN 1751-8644, Online ISSN 1751-8652
© The Institution of Engineering and Technology
Received 15/04/2012, Accepted 15/08/2013, Revised 14/07/2013, Published

The second-order sliding mode control generates important properties for closed-loop systems, such as robustness, disturbance rejection and finite-time convergence. In this study, it is shown that the adding a power technique plus the nested saturation method will bring in a new second-order sliding mode control scheme for non-linear systems with relative degree two. Based on this, a second-order sliding mode controller is constructed by imposing a natural assumption on the sliding mode dynamics, that is, the uncertainty of the sliding mode dynamics can be bounded by a known function instead of a constant. Under the proposed sliding mode controller, it is proved that the closed-loop system is not only globally convergent, but also locally finite-time stable, which implies the global finite-time stability. Finally, the effectiveness of the proposed method is verified by a numerical example.

Inspec keywords: stability; closed loop systems; nonlinear control systems; control system synthesis; uncertain systems; variable structure systems

Other keywords: nonlinear systems; nested saturation method; global finite-time stability; sliding mode dynamics; closed-loop systems; locally finite-time stability; power technique; second-order sliding mode control design

Subjects: Multivariable control systems; Stability in control theory; Nonlinear control systems; Control system analysis and synthesis methods

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