A Reset‐Time Dependent Approach for Stability Analysis of Nonlinear Reset Control Systems. Issue 5 (2nd February 2016)

• Record Type: Journal Article
• Authors: Ghaffari, Valiollah; Karimaghaee, Paknosh; Khayatian, Alireza
• Is Part Of: Asian journal of control. Volume 18:Issue 5(2016)
• Page Start: 1856
• Page End: 1866
• Publication Date: 2016-02-02
• Subjects: Lyapunov's stability theory -- nonlinear reset control systems -- reset law -- reset‐time dependent -- stability analysis; Automatic control -- Periodicals; Control theory -- Periodicals; 629.805
• DOI: 10.1002/asjc.1274
• Languages: English
• ISSNs: 1561-8625

Abstract

Abstract: A reset mechanism in controller can affect the stability property of a closed loop control system. In a simple word, there are stable reset control systems with unstable base‐systems and also unstable reset systems with stable base‐systems. The Lyapunov stability theory is a strong tool to investigate the stability of a nonlinear system. In this paper, based on the well‐known Lyapunov stability concept, some stability conditions for nonlinear reset control systems are addressed. These conditions are dependent on the reset‐times and hence the reset‐time intervals are explicitly emerged in the stability conditions. Some applications of these results are used in numerical examples to show the effectiveness of the proposed approach.