Gain‐Scheduled Control via Switching of LTI Controllers and State Reset. Issue 5 (18th December 2015)

• Record Type: Journal Article
• Authors: Masubuchi, Izumi; Ishii, Shota; Ohta, Yuzo; Saeki, Masami
• Is Part Of: Asian journal of control. Volume 18:Issue 5(2016)
• Page Start: 1619
• Page End: 1629
• Publication Date: 2015-12-18
• Subjects: Gain‐scheduled control -- switched systems -- LMIs; Automatic control -- Periodicals; Control theory -- Periodicals; 629.805
• DOI: 10.1002/asjc.1272
• Languages: English
• ISSNs: 1561-8625

Abstract

Abstract: This paper proposes a synthesis method of gain‐scheduled control systems that switch linear time‐invariant controllers according to hysteresis of the scheduling parameter. Stability and L 2 ‐gain analysis and synthesis methods for switched systems are applied to the switched gain‐scheduled control synthesis using reset of the controller state, where also the reset law is computed via linear matrix inequalities (LMIs). In addition to optimization of an upper bound of L 2 ‐gain, we reduce jumps of control input via an auxiliary optimization. Numerical examples are presented to illustrate the switched gain‐scheduled controller.