Robustness of PWA Control Based on A Coupled Vertex Sensitivity Analysis. Issue 16 (2022)

• Record Type: Journal Article
• Authors: Yang, Songlin; Olaru, Sorin; Rodriguez-Ayerbe, Pedro; Dorea, Carlos E.T.
• Is Part Of: IFAC-PapersOnLine. Volume 55:Issue 16(2022)
• Page Start: 314
• Page End: 319
• Publication Date: 2022
• Subjects: Robustness PWA control -- Coupled vertex sensitivity; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2022.09.043
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: Under the vertex representation for the state partitions, this paper studies the robustness of PWA control for constrained discrete-time linear systems. In particular, the aim is to evaluate the impact of uncertainty in the representation of state-space partition. Practically, the notion of coupled vertex sensitivity (CVS) is defined to inscribe the joint uncertainty in the vertex positioning. This novel concept reduces the computational complexity and the conservativeness of the construction compared to the use of independent vertex perturbation through the iterative procedure using the existing results. A numerical example illustrated the effectiveness of our work.