On the modified Minkowski functional minimization controller for uncertain systems with input and state constraints. (30th June 2018)

• Record Type: Journal Article
• Authors: Nguyen, Hoai-Nam; Gutman, Per-Olof
• Is Part Of: IFAC journal of systems and control. Volume 4(2018)
• Page Start: 17
• Page End: 24
• Publication Date: 2018-06-30
• Subjects: Uncertain systems -- Real-time optimization -- State and input constraints -- Model predictive control; Automatic control -- Periodicals; Relay control systems -- Periodicals; Embedded computer systems -- Periodicals; Feedback control systems -- Periodicals; Artificial intelligence -- Periodicals; Artificial intelligence; Automatic control; Embedded computer systems; Feedback control systems; Relay control systems; Electronic journals; Periodicals; 629.89
• DOI: 10.1016/j.ifacsc.2018.04.001
• Languages: English
• ISSNs: 2468-6018

Abstract

Abstract: Two new stabilizing control schemes are presented for uncertain linear constrained systems on a controlled invariant set C . The first scheme is an extension of the control law in Blanchini (1994), where the requirement that C is contractive in one step is relaxed. The second scheme aims to improve the performance by using a modified Minkowski functional concept. Proofs of recursive feasibility and robust asymptotic stability are provided. One numerical example with comparison to earlier solutions shows the main benefits of the proposed methods.