PWL and PWA ℋ ∞ controller synthesis for uncertain PWA slab systems: LMI approach

• Published in: International journal of control Vol. 82; no. 3; pp. 482 - 492
• Main Authors: LeBel, Stefan, Rodrigues, Luis
• Format: Journal Article
• Language: English
• Published: Abingdon Taylor & Francis Group 01.03.2009; Taylor & Francis
• Subjects: Applied sciences; Computer science; control theory; systems; control; Control system analysis; Control system synthesis; Control theory. Systems; Exact sciences and technology; linear matrix inequalities; piecewise-affine systems; piecewise-linear systems; Systeme affine in control; Uncertain system; H2 control; H infinite control; Linear matrix inequality; Control synthesis; Convex programming; Piecewise linearization

This article presents new piecewise-affine (PWA) and piecewise-linear (PWL) ℋ ∞ controller synthesis methods for uncertain PWA slab systems. The synthesis problems are formulated as convex programs subject to a set of Linear Matrix Inequalities (LMIs), which can then be solved efficiently using avai...