Dynamic reset output feedback with guaranteed convergence rate. Issue 16 (2019)

• Record Type: Journal Article
• Authors: Ferrante, Francesco; Zaccarian, Luca
• Is Part Of: IFAC-PapersOnLine. Volume 52:Issue 16(2019)
• Page Start: 102
• Page End: 107
• Publication Date: 2019
• Subjects: Reset control systems -- hybrid systems -- stabilization -- LMIs; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2019.11.763
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: We propose a new output feedback reset control architecture for linear continuous-time plants, where the dwell-time parameter corresponds to a quantified interval of time where the controller state and the plant input are freezed, thus providing a constant plant input. For this new architecture we first prove a stability and performance analysis test, based on certain strict Lyapunov conditions, and show that these reduce to LMIs when using quadratic Lyapunov certificates. Then we follow typical LMI-based characterizations of plant-order linear output feedback controller designs thus providing an optimality-based procedure for the design of the controller parameters involving a set of LMIs coupled with a line search of a few parameters. The proposed construction is illustrated on a numerical example.