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Hybrid Stabilization of Linear Systems With Reverse Polytopic Input Constraints
Casau, Pedro1; Sanfelice, Ricardo G.2; Silvestre, Carlos3
2017-12
Source PublicationIEEE TRANSACTIONS ON AUTOMATIC CONTROL
ISSN0018-9286
Volume62Issue:12Pages:6473-6480
Abstract

This paper addresses the problem of globally uniformly exponentially stabilizing a linear system to the origin by output feedback while avoiding a prescribed set of input values. We consider that the set of input values to avoid is given by the union of a finite number of closed polytopes that do not contain the origin and we refer to this restriction as a reverse polytopic input constraint. We show that the synthesis of the hybrid controller can be performed by solving a set of linear matrix inequalities for the full-state feedback case, and by solving a set of bilinear matrix inequalities for the output feedback case. The resulting closed-loop hybrid system is shown to satisfy key conditions for well-posedness and robustness to small measurement noise. Furthermore, we apply the proposed hybrid controller to the stabilization of a single-input linear system subject to reverse polytopic constraints on the norm of the input. The behavior of the corresponding closed-loop hybrid system is validated by simulations.

KeywordControl Design Hybrid Dynamical Systems Linear Systems Robust Control
DOI10.1109/TAC.2017.2665123
URLView the original
Indexed BySCI
Language英语
WOS Research AreaAutomation & Control Systems ; Engineering
WOS SubjectAutomation & Control Systems ; Engineering, Electrical & Electronic
WOS IDWOS:000417090000036
PublisherIEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
The Source to ArticleWOS
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Document TypeJournal article
CollectionDEPARTMENT OF ELECTRICAL AND COMPUTER ENGINEERING
Affiliation1.Department of Electrical and Computer Engineering, Faculty of Science and Technology, Institute for Systems and Robotics, Instituto Superior Técnico, University of Macau, Universidade de Lisboa, Taipa, Lisbon, MacauPortugal
2.Department of Computer Engineering, University of California, Santa Cruz, CA, USA
3.Department of Electrical and Computer Engineering, Faculty of Science and Technology, Instituto Superior Técnico, University of Macau, Universidade de Lisboa, Taipa, Lisbon, MacauPortugal
First Author AffilicationFaculty of Science and Technology
Recommended Citation
GB/T 7714
Casau, Pedro,Sanfelice, Ricardo G.,Silvestre, Carlos. Hybrid Stabilization of Linear Systems With Reverse Polytopic Input Constraints[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL,2017,62(12):6473-6480.
APA Casau, Pedro,Sanfelice, Ricardo G.,&Silvestre, Carlos.(2017).Hybrid Stabilization of Linear Systems With Reverse Polytopic Input Constraints.IEEE TRANSACTIONS ON AUTOMATIC CONTROL,62(12),6473-6480.
MLA Casau, Pedro,et al."Hybrid Stabilization of Linear Systems With Reverse Polytopic Input Constraints".IEEE TRANSACTIONS ON AUTOMATIC CONTROL 62.12(2017):6473-6480.
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