Local Sampled-Data Gain-Scheduling Control of quasi-LPV Systems ⁎This work was supported by the Brazilian agencies CNPq (grant 307933/2018-0), CAPES and FAPEMIG (grant PPM-00053-17). Issue 4 (2021)

• Record Type: Journal Article
• Authors: Coutinho, Pedro H.S.; Peixoto, Márcia L.C.; Bernal, Miguel; Nguyen, Anh-Tu; Palhares, Reinaldo M.
• Is Part Of: IFAC-PapersOnLine. Volume 54:Issue 4(2021)
• Page Start: 86
• Page End: 91
• Publication Date: 2021
• Subjects: Digital control -- Nonlinear systems -- Gain scheduling -- Convex optimization -- Linear matrix inequalities; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2021.10.015
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: This paper deals with the problem of sampled-data gain-scheduling control design for affine quasi-LPV systems. As the control implementation is based on sample-data and its update occurs only at specific sampling instants, the state-dependent scheduling functions of the controller are piecewise continuous. This characteristic causes a mismatch between the system model and the controller parameters, namely asynchronous scheduling functions of the controller with respect to the plant during the inter-sampling behavior. To cope with this phenomenon, a polytopic description of the inter-sampling is constructed based on bounding assumptions on the scheduling functions and their time derivatives. Then, regarding a time-delay approach, a constructive and numerically implementable LMI-based synthesis condition is derived, and a convex procedure is proposed for enlarging the estimate of the region of attraction of the origin of the closed-loop system. The time-derivative bounds of the scheduling functions are explicitly accounted into the local analysis to ensure the method's implementation. A numerical example is provided to illustrate the proposed methodology.