Constrained MPC design of nonlinear Markov jump system with nonhomogeneous process. (August 2015)

• Record Type: Journal Article
• Authors: Liu, Yanqing; Yin, Yanyan; Liu, Fei; Teo, Kok Lay
• Is Part Of: Nonlinear analysis. Volume 17(2015)
• Page Start: 1
• Page End: 9
• Publication Date: 2015-08
• Subjects: Constrained MPC -- Nonlinear Markov jump systems -- Nonhomogeneous switching -- Discrete time -- Differential-inclusion-based; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2015.01.001
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: In this paper, a differential-inclusion-based MPC scheme is developed for the controller design for a discrete time nonlinear Markov jump system with nonhomogeneous transition probability. By adopting a differential-inclusion-based convex model predictive control mechanism, the nonlinear Markov jump system with nonhomogeneous transition probability is enclosed by a set of linear Markov jump systems. In this way, the controller design for the nonlinear Markov jump system can be solved via solving a set of linear Markov jump systems. Two numerical examples with different weighting parameters R are presented to illustrate the applicability of the results obtained.