Model predictive control for continuous-time singular jump systems with incomplete transition rates
type: Item
instance of: scholarly article
title: Model predictive control for continuous-time singular jump systems with incomplete transition rates
zbMATH Open document ID: 1326.93117
DOI: 10.1155/2015/140527
author: Xinxin Gu
author: Li Peng
author: Jiwei Wen
published in: Journal of Control Science and Engineering
publication date: 2015-11-19T00:00:00Z
review text: Summary: This paper is concerned with Model Predictive Control (MPC) problem for continuous-time Markov Jump Systems (MJSs) with incomplete transition rates and singular character. Sufficient conditions for the existence of a model predictive controller, which could optimize a quadratic cost function and guarantee that the system is piecewise regular, impulse-free, and mean square stable, are given in two cases at each sampling time. Since the MPC strategy is aggregated into continuous-time singular MJSs, a discrete-time controller is employed to deal with a continuous-time plant and the cost function not only refers to the singularity but also considers the sampling period. Moreover, the feasibility of the MPC scheme and the mean square admissibility of the closed-loop system are deeply discussed by using the invariant ellipsoid. Finally, a numerical example is given to illustrate the main results.
Mathematics Subject Classification ID: 93E03
Mathematics Subject Classification ID: 93B40
Mathematics Subject Classification ID: 60J75
Mathematics Subject Classification ID: 93C57
zbMATH DE Number: 6511709
zbMATH Keywords: model predictive control (MPC) problem
zbMATH Keywords: continuous-time Markov Jump Systems (MJSs)
zbMATH Keywords: discrete-time controller
zbMATH Keywords: sampling period
zbMATH Keywords: mean square admissibility
zbMATH Keywords: closed-loop system
MaRDI profile type: Publication
Wikidata QID: Q59112349
full work available at URL: https://doi.org/10.1155/2015/140527
OpenAlex ID: W1592567245
cites work: \(H_{\infty}\) control of a class of discrete-time Markov jump linear systems with piecewise-constant TPs subject to average dwell time switching
cites work: Distributed Parameter Estimation Over Unreliable Networks With Markovian Switching Topologies
cites work: On Stability and LQ Control of MJLS With a Markov Chain With General State Space
cites work: Modeling dengue outbreaks
cites work: On stability and stabilizability of singular stochastic systems with delays
cites work: Bifurcation and chaotic behavior of a discrete singular biological economic system
cites work: Stability and stabilization of continuous-time singular hybrid systems
cites work: Stability of Singular Stochastic Systems With Markovian Switching
cites work: On state feedback stabilization of singular systems with random abrupt changes
cites work: Robust constrained model predictive control using linear matrix inequalities
cites work: Output feedback model predictive control for LPV systems based on quasi-min-max algorithm
cites work: Economic MPC for a Changing Economic Criterion for Linear Systems
cites work: Stability and stabilization of Markovian jump linear systems with partly unknown transition probabilities
cites work: Necessary and Sufficient Conditions for Analysis and Synthesis of Markov Jump Linear Systems With Incomplete Transition Descriptions
cites work: Sliding mode control for Markov jump linear uncertain systems with partly unknown transition rates
cites work: An efficient off-line formulation of robust model predictive control using linear matrix inequalities
cites work: Output feedback H∞ control of systems with parameter uncertainty
cites work: Matrix Analysis
description: scientific article; zbMATH DE number 6511709