Observer-based robust control of one-sided Lipschitz nonlinear systems. (November 2016)

• Record Type: Journal Article
• Authors: Ahmad, Sohaira; Rehan, Muhammad; Hong, Keum-Shik
• Is Part Of: ISA transactions. Volume 65(2016:Nov.)
• Page Start: 230
• Page End: 240
• Publication Date: 2016-11
• Subjects: Observer-based control -- One-sided Lipschitz nonlinearity -- Quadratic inner-boundedness -- Parametric uncertainty -- L2 gain; Engineering instruments -- Periodicals; Engineering instruments; Periodicals; Electronic journals; 629.805
• DOI: 10.1016/j.isatra.2016.08.010
• Languages: English
• ISSNs: 0019-0578

Abstract

Abstract: This paper presents an observer-based controller design for the class of nonlinear systems with time-varying parametric uncertainties and norm-bounded disturbances. The design methodology, for the less conservative one-sided Lipschitz nonlinear systems, involves astute utilization of Young's inequality and several matrix decompositions. A sufficient condition for simultaneous extraction of observer and controller gains is stipulated by a numerically tractable set of convex optimization conditions. The constraints are handled by a nonlinear iterative cone-complementary linearization method in obtaining gain matrices. Further, an observer-based control technique for one-sided Lipschitz nonlinear systems, robust against L 2 -norm-bounded perturbations, is contrived. The proposed methodology ensures robustness against parametric uncertainties and external perturbations. Simulation examples demonstrating the effectiveness of the proposed methodologies are presented.