Dynamic Output Feedback Robust MPC With one Free Control Move for LPV Model With Bounded Disturbance. Issue 2 (25th August 2017)

• Record Type: Journal Article
• Authors: Ding, Baocang; Wang, Pengjun; Hu, Jianchen
• Is Part Of: Asian journal of control. Volume 20:Issue 2(2018)
• Page Start: 755
• Page End: 767
• Publication Date: 2017-08-25
• Subjects: Model predictive control -- uncertain systems -- dynamic output feedback -- free control move -- free estimated state; Automatic control -- Periodicals; Control theory -- Periodicals; 629.805
• DOI: 10.1002/asjc.1617
• Languages: English
• ISSNs: 1561-8625

Abstract

Abstract: For a linear parameter‐varying (LPV) model which is a convex combination of several linear time invariant sub‐models, this paper considers the case when the combining coefficients are unknown (except being nonnegative and their sum being one). For this model with norm‐bounded unknown disturbance, an output feedback robust model predictive control (MPC) is proposed by parameterizing the infinite horizon control moves and estimated states into one free control move, one free estimated state ( i.e., one control move and one estimated state as degrees of freedom for optimization) and a dynamic output feedback law. This is the first endeavour to apply the free control move and free estimated state in the output feedback MPC for this model. The algorithm is shown to be recursively feasible and the system state is guaranteed to converge to the neighborhood of the equilibrium point. A numerical example verifies the effectiveness of the proposed algorithm.