Modeling and quadratic stabilization of a class of linear uncertain time‐varying systems. (23rd August 2016)

• Record Type: Journal Article
• Authors: Jetto, L.; Orsini, V.; Romagnoli, R.
• Is Part Of: International journal of robust and nonlinear control. Volume 27:Number 10(2017)
• Page Start: 1810
• Page End: 1825
• Publication Date: 2016-08-23
• Subjects: quadratic stabilization -- uncertain linear time‐varying systems -- dynamic output feedback; Automatic control -- Periodicals; Control theory -- Periodicals; Nonlinear systems -- Periodicals; 629.836
• DOI: 10.1002/rnc.3638
• Languages: English
• ISSNs: 1049-8923

Abstract

Summary: This paper considers the quadratic stabilization of a class of uncertain linear time‐varying (LTV) continuous‐time plants. The state‐space representation of each plant is based on the physically meaningful assumption of a dynamical matrix containing uncertain elements whose time trajectories are sufficiently smooth to be well described by interval polynomial functions with arbitrarily time varying coefficients. At some isolated time instants, the parameters trajectories can exhibit some first‐kind discontinuities due for example to sharply varying operating conditions. Using a parameter independent Lyapunov function, a quadratically stabilizing dynamic output controller is directly obtained by the solution of some LMIs. A salient feature of the paper is that, unlike all the other existing methods, quadratic stabilization can be achieved over possibly arbitrarily large uncertain domains of parameters. Copyright © 2016 John Wiley & Sons, Ltd.