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access icon free Control scheme for LTI systems with Lipschitz non-linearity and unknown time-varying input delay

  • Author(s): Chunyan Wang 1, 2 ; Zongyu Zuo 3 ; Zhengtao Ding 1, 2
    • View affiliations
  • Source: Volume 11, Issue 17, 24 November 2017, p. 3191 – 3195
    DOI:  10.1049/iet-cta.2017.0286 , Print ISSN 1751-8644, Online ISSN 1751-8652
© The Institution of Engineering and Technology
Received 14/03/2017, Accepted 04/09/2017, Revised 15/08/2017, Published 04/09/2017

In this study, the authors propose a control structure for a class of linear time-invariant (LTI) systems with Lipschitz non-linearity and unknown time-varying input delay. This scheme considers the worst-case scenario in control design with truncated prediction feedback approach, and takes into account the information of the lower bound of delay in the stability analysis. A finite-dimensional controller is constructed, requiring neither the non-linear function nor the exact delay function. The truncated prediction deviation is minimised by employing the delay range, and then bounded by integral construction and related techniques. Within the framework of Lyapunov–Krasovskii functionals, sufficient delay–range-dependent conditions are derived for the closed-loop system to guarantee the global stability. Two numerical examples are given to validate the proposed control design.

Inspec keywords: control system synthesis; stability; time-varying systems; delays; Lyapunov methods

Other keywords: worst-case scenario; integral construction; control structure; global stability; Lipschitz nonlinearity; unknown time-varying input delay; control design; LTI systems; nonlinear function; truncated prediction deviation; Lyapunov-Krasovskii functionals; stability analysis; finite-dimensional controller; delay-range-dependent conditions; truncated prediction feedback; exact delay function; closed-loop system

Subjects: Time-varying control systems; Stability in control theory; Distributed parameter control systems; Control system analysis and synthesis methods

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