Control scheme for LTI systems with Lipschitz non‐linearity and unknown time‐varying input delay. Issue 17 (28th September 2017)

• Record Type: Journal Article
• Authors: Wang, Chunyan; Zuo, Zongyu; Ding, Zhengtao
• Is Part Of: IET control theory & applications. Volume 11:Issue 17(2017)
• Page Start: 3191
• Page End: 3195
• Publication Date: 2017-09-28
• Subjects: stability -- Lyapunov methods -- time‐varying systems -- control system synthesis -- delays; LTI systems -- Lipschitz nonlinearity -- unknown time‐varying input delay -- control structure -- worst‐case scenario -- control design -- truncated prediction feedback -- stability analysis -- finite‐dimensional controller -- nonlinear function -- exact delay function -- truncated prediction deviation -- integral construction -- Lyapunov‐Krasovskii functionals -- delay‐range‐dependent conditions -- closed‐loop system -- global stability; Control theory -- Periodicals; Automatic control -- Periodicals; 629.8312
• DOI: 10.1049/iet-cta.2017.0286
• Languages: English
• ISSNs: 1751-8644

Abstract

Abstract : 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.