Constrained MPC design of nonlinear Markov jump system with nonhomogeneous process
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.
Citation
Liu, Y. and Yin, Y. and Liu, F. and Teo, K.L. 2015. Constrained MPC design of nonlinear Markov jump system with nonhomogeneous process. Nonlinear Analysis: Hybrid Systems. 17: pp. 1-9.
Source Title
Nonlinear Analysis: Hybrid Systems
ISSN
School
Department of Mathematics and Statistics
Collection
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