Conditions for Stabilizability of Linear Switched Systems
This paper investigates some conditions that can provide stabilizability for linear switched systems with polytopic uncertainties via their closed loop linear quadratic state feedback regulator. The closed loop switched systems can stabilize unstable open loop systems or stable open loop systems but...
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my.utp.eprints.43702017-01-19T08:23:01Z Conditions for Stabilizability of Linear Switched Systems Trieu Minh, Vu Awang, Mokhtar Setyamartana, Parman TJ Mechanical engineering and machinery This paper investigates some conditions that can provide stabilizability for linear switched systems with polytopic uncertainties via their closed loop linear quadratic state feedback regulator. The closed loop switched systems can stabilize unstable open loop systems or stable open loop systems but in which there is no solution for a common Lyapunov matrix. For continuous time switched linear systems, we show that if there exists solution in an associated Riccati equation for the closed loop systems sharing one common Lyapunov matrix, the switched linear systems are stable. For the discrete time switched systems, we derive a Linear Matrix Inequality (LMI) to calculate a common Lyapunov matrix and solution for the stable closed loop feedback systems. These closed loop linear quadratic state feedback regulators guarantee the global asymptotical stability for any switched linear systems with any switching signal sequence. 2011-02 Citation Index Journal NonPeerReviewed application/pdf http://eprints.utp.edu.my/4370/2/published-IJCAS.pdf Trieu Minh, Vu and Awang, Mokhtar and Setyamartana, Parman (2011) Conditions for Stabilizability of Linear Switched Systems. [Citation Index Journal] http://eprints.utp.edu.my/4370/ |
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TJ Mechanical engineering and machinery Trieu Minh, Vu Awang, Mokhtar Setyamartana, Parman Conditions for Stabilizability of Linear Switched Systems |
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This paper investigates some conditions that can provide stabilizability for linear switched systems with polytopic uncertainties via their closed loop linear quadratic state feedback regulator. The closed loop switched systems can stabilize unstable open loop systems or stable open loop systems but in which there is no solution for a common Lyapunov matrix. For continuous time switched linear systems, we show that if there exists solution in an associated Riccati equation for the closed loop systems sharing one common Lyapunov matrix, the switched linear systems are stable. For the discrete time switched systems, we derive a Linear Matrix Inequality (LMI) to calculate a common Lyapunov matrix and solution for the stable closed loop feedback systems. These closed loop linear quadratic state feedback regulators guarantee the global asymptotical stability for any switched linear systems with any switching signal sequence.
|
format |
Citation Index Journal |
author |
Trieu Minh, Vu Awang, Mokhtar Setyamartana, Parman |
author_facet |
Trieu Minh, Vu Awang, Mokhtar Setyamartana, Parman |
author_sort |
Trieu Minh, Vu |
title |
Conditions for Stabilizability of Linear Switched Systems |
title_short |
Conditions for Stabilizability of Linear Switched Systems |
title_full |
Conditions for Stabilizability of Linear Switched Systems |
title_fullStr |
Conditions for Stabilizability of Linear Switched Systems |
title_full_unstemmed |
Conditions for Stabilizability of Linear Switched Systems |
title_sort |
conditions for stabilizability of linear switched systems |
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2011 |
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http://eprints.utp.edu.my/4370/2/published-IJCAS.pdf http://eprints.utp.edu.my/4370/ |
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1738655334088572928 |
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13.160551 |