Title
Robust Model Predictive Control for Markovian Jump Systems with All Unstable Modes
Abstract
In this paper, robust model predictive control (RMPC) problem is investigated for a class of Markovian jump systems with unstable modes under polytopic uncertainties and hard constraints. The transition probability matrix and a mode-dependent control strategy in the framework of RMPC are co-designed. Moreover, in order to design a switching rule for the mean-square stability of the jump system, an off-line design scheme is first proposed to guarantee the on-line mode-dependent model predictive controller design. For the “on-line” part, a set of mode-dependent state feedback controllers is designed to minimize an upper bound of the worst-case infinite horizon cost function in terms of the solutions to a series of linear matrix inequalities. Finally, an simulation example regarding the economic system is implemented to verify the effectiveness of the proposed design scheme.
Year
DOI
Venue
2020
10.1109/ICARCV50220.2020.9305314
2020 16th International Conference on Control, Automation, Robotics and Vision (ICARCV)
Keywords
DocType
ISSN
Kobust model predictive control,Markovian jump systems,polytopic uncertainties,hard constrain,transition probability,mean-square stability
Conference
2474-2953
ISBN
Citations 
PageRank 
978-1-7281-7710-6
0
0.34
References 
Authors
0
2
Name
Order
Citations
PageRank
Bin Zhang1144.35
Yan Song228453.62