Design of robust nonfragile H∞ controller for uncertain nonlinear polynomial systems. (12th September 2018)

• Record Type: Journal Article
• Authors: Rezgui, Marwa; Ayadi, Hela Belkhiria; Benhadj Braiek, Naceur
• Is Part Of: Optimal control applications and methods. Volume 40:Number 1(2019)
• Page Start: 55
• Page End: 67
• Publication Date: 2018-09-12
• Subjects: H∞ control -- Kronecker product -- linear matrix inequalities -- nonfragile controller -- nonlinear polynomial systems -- robust control; Control theory -- Periodicals; Mathematical optimization -- Periodicals; 629.8312
• DOI: 10.1002/oca.2466
• Languages: English
• ISSNs: 0143-2087

Abstract

Summary: This paper is concerned with the robust H ∞ nonfragile controller design for a particular class of nonlinear systems, namely, the perturbed polynomial systems, which are subject to unstructured bounded uncertainties in both the system model and the control law. Combining the Lyapunov stability theory, properties of linear matrix inequality, and Kronecker product properties, a sufficient condition of robust H ∞ nonfragile control design is proposed. More specifically, we propose a robust H ∞ controller of nonlinear polynomial systems with additive unstructured uncertainties and variation in the control law itself that guarantee the stability and the attenuation of external perturbations. Two examples are provided to illustrate the effectiveness of the proposed approach.