Stability analysis and performance improvement of uncertain linear systems with designing of a suitable reset law. Issue 17 (1st November 2015)

• Record Type: Journal Article
• Authors: Ghaffari, Valiollah; Karimaghaee, Paknosh; Khayatian, Alireza
• Is Part Of: IET control theory & applications. Volume 9:Issue 17(2015)
• Page Start: 2532
• Page End: 2540
• Publication Date: 2015-11-01
• Subjects: stability -- linear systems -- uncertain systems -- predictive control -- closed loop systems -- linear matrix inequalities -- distillation equipment -- control system synthesis; stability analysis -- uncertain linear system -- reset controller -- model prediction‐based framework -- uncertain linear control system -- uncertain linear plant -- closed‐loop system -- linear matrix inequality -- quadratic cost function -- distillation column -- nonreset control system -- reset law design; Control theory -- Periodicals; Automatic control -- Periodicals; 629.8312
• DOI: 10.1049/iet-cta.2015.0292
• Languages: English
• ISSNs: 1751-8644

Abstract

Abstract : In reset control systems, the reset law is a main characteristic of the reset controllers. In this study, a model prediction‐based framework is proposed to determine a suitable reset law for the uncertain linear control system. For achieving this goal, first a typical uncertain linear plant is considered and then the state space of the closed‐loop system, which consists of the uncertain plant and a linear controller, is formulated. The stability problem of such uncertain system is translated into a feasibility assessment of some linear matrix inequality sets and then based on the model prediction strategy a reset law is derived to minimise a quadratic cost function. When the system states enter into a reset set, according to the computed reset law, the controller states are reset. This method is applied to a typical distillation column to show the effectiveness of the proposed approach and is compared with non‐reset control system.