Dynamic ℒ2 output feedback control of delayed linear parameter varying systems with piecewise constant parameters: A clock‐dependent L–K approach. (2nd December 2020)

• Record Type: Journal Article
• Authors: Zakwan, Muhammad; Ahmed, Saeed; Bajcinca, Naim
• Is Part Of: International journal of robust and nonlinear control. Volume 31:Number 4(2021)
• Page Start: 1145
• Page End: 1167
• Publication Date: 2020-12-02
• Subjects: clock‐dependent L–K functional -- delay -- dwell‐time -- LPV systems -- output feedback; Automatic control -- Periodicals; Control theory -- Periodicals; Nonlinear systems -- Periodicals; 629.836
• DOI: 10.1002/rnc.5343
• Languages: English
• ISSNs: 1049-8923

Abstract

Abstract: This article proposes a new clock‐dependent gain‐scheduled dynamic output feedback controller for delayed linear parameter varying systems with piecewise constant parameters. The proposed controller guarantees ℒ 2 ‐performance. By employing a clock‐dependent Lyapunov–Krasovskii functional, a sufficient condition for the existence of the controller is provided in terms of clock‐ and parameter‐dependent linear matrix inequalities. A case study on output feedback control of delayed switched systems is also provided. To illustrate the efficacy of the result, it is applied to a practical VTOL helicopter model.