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Decentralized control and state estimation of linear time-periodic systems
Andrushka, Ivan1; Batista, Pedro1; Oliveira, Paulo2; Silvestre, Carlos3
2022-04
Source PublicationInternational Journal of Robust and Nonlinear Control
ISSN1049-8923
Abstract

The main contributions of this article are the design of a decentralized controller and state estimator for linear time-periodic systems with fixed network topologies. The proposed method to tackle both problems consists of reformulating the linear periodic dynamics as a linear time-invariant system by applying a time-lifting technique and designing a discrete-time decentralized controller and state estimator for the time-lifted formulation. The problem of designing the decentralized estimator is formulated as a discrete-time Kalman filter subject to sparsity constraints on the gains. Two different algorithms for the computation of steady-state observer gains are tested and compared. The control problem is posed as a state feedback gain optimization problem over an infinite-horizon quadratic cost, subject to a sparsity constraint on the gains. An equivalent formulation that consists in the optimization of the steady-state solution of a matrix difference equation is presented and an algorithm for the computation of the decentralized gain is detailed. Simulation results for the practical cases of the quadruple-tank process and an extended 40-tank process are presented that illustrate the performance of the proposed solutions, complemented with numerical simulations using the Monte Carlo method.

KeywordDecentralized Control Decentralized Estimation Linear Time-periodic Sparse Gains Time-lifting
DOI10.1002/rnc.6130
URLView the original
Indexed BySCIE
Language英語English
WOS Research AreaAutomation & Control Systems ; Engineering ; Mathematics
WOS SubjectAutomation & Control Systems ; Engineering, Electrical & Electronic ; Mathematics, Applied
WOS IDWOS:000778881900001
Scopus ID2-s2.0-85127595907
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Cited Times [WOS]:0   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionDEPARTMENT OF ELECTRICAL AND COMPUTER ENGINEERING
Corresponding AuthorBatista, Pedro
Affiliation1.Institute for Systems and Robotics, Instituto Superior Técnico, Universidade de Lisboa, Lisbon, Portugal
2.IDMEC-Institute of Mechanical Engineering, Instituto Superior Técnico, Universidade de Lisboa, Lisbon, Portugal
3.Department of Electrical and Computer Engineering, University of Macau, Taipa, Macao
Recommended Citation
GB/T 7714
Andrushka, Ivan,Batista, Pedro,Oliveira, Paulo,et al. Decentralized control and state estimation of linear time-periodic systems[J]. International Journal of Robust and Nonlinear Control,2022.
APA Andrushka, Ivan,Batista, Pedro,Oliveira, Paulo,&Silvestre, Carlos.(2022).Decentralized control and state estimation of linear time-periodic systems.International Journal of Robust and Nonlinear Control.
MLA Andrushka, Ivan,et al."Decentralized control and state estimation of linear time-periodic systems".International Journal of Robust and Nonlinear Control (2022).
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