A simplified predictive control of constrained Markov jump system with mixed uncertainties
type: Item
instance of: scholarly article
title: A simplified predictive control of constrained Markov jump system with mixed uncertainties
zbMATH Open document ID: 1406.93313
DOI: 10.1155/2014/475808
author: Yanyan Yin
author: Yanqing Liu
author: Hamid Reza Karimi
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: A simplified model predictive control algorithm is designed for discrete-time Markov jump systems with mixed uncertainties. The mixed uncertainties include model polytope uncertainty and partly unknown transition probability. The simplified algorithm involves finite steps. Firstly, in the previous steps, a simplified mode-dependent predictive controller is presented to drive the state to the neighbor area around the origin. Then the trajectory of states is driven as expected to the origin by the final-step mode-independent predictive controller. The computational burden is dramatically cut down and thus it costs less time but has the acceptable dynamic performance. Furthermore, the polyhedron invariant set is utilized to enlarge the initial feasible area. The numerical example is provided to illustrate the efficiency of the developed results.
Mathematics Subject Classification ID: 93E03
Mathematics Subject Classification ID: 93B40
Mathematics Subject Classification ID: 93C41
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 93C30
zbMATH DE Number: 7022449
zbMATH Keywords: predictive control
zbMATH Keywords: constrained Markov jump system
zbMATH Keywords: mixed uncertainties
Wikidata QID: Q59038561
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/475808
OpenAlex ID: W2073133487
cites work: Robust reliable stabilization of stochastic switched nonlinear systems under asynchronous switching
cites work: Finite-time analysis and \(H_\infty\) control for switched stochastic systems
cites work: Static output feedback control for stochastic hybrid systems: LMI approach
cites work: Stabilization and H control of two-dimensional Markovian jump systems
cites work: Robust peak-to-peak filtering for Markov jump systems
cites work: H∞control for discrete-time Markovian jump linear systems with partly unknown transition probabilities
cites work: On robust stabilization of Markovian jump systems with uncertain switching probabilities
cites work: Constrained model predictive control: Stability and optimality
cites work: Enlarged terminal sets guaranteeing stability of receding horizon control.
cites work: Robust constrained model predictive control using linear matrix inequalities
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description: scientific article; zbMATH DE number 7022449