Globally asymptotical stabilisation for a class of feedback linearisable differential inclusion systems
Globally asymptotical stabilisation for a class of feedback linearisable differential inclusion systems
- Author(s): X. Cai ; L. Liu ; J. Huang ; W. Zhang
- DOI: 10.1049/iet-cta.2010.0365
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- Author(s): X. Cai 1 ; L. Liu 2 ; J. Huang 2 ; W. Zhang 2
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View affiliations
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Affiliations:
1: College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua, People's Republic of China
2: School of Electronic, Information and Electrical Engineering, Shanghai Jiaotong University, Shanghai, People's Republic of China
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Affiliations:
1: College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua, People's Republic of China
- Source:
Volume 5, Issue 14,
22 September 2011,
p.
1586 – 1596
DOI: 10.1049/iet-cta.2010.0365 , Print ISSN 1751-8644, Online ISSN 1751-8652
Globally asymptotical stabilisation for a class of feedback linearisable differential inclusion systems with disturbances is dealt with in this study. A systematic method for constructing the control Lyapunov function (CLF) is presented by solving the Lyapunov equation. Sufficient and necessary conditions for a quadratic CLF to be a CLF for single-input and multi-input systems are acquired, respectively. Then, continuous state feedback laws are designed for corresponding systems. Finally, the effectiveness of the proposed method is illustrated by two simulation examples.
Inspec keywords: continuous systems; asymptotic stability; differential equations; linearisation techniques; control system synthesis; state feedback; Lyapunov methods
Other keywords: feedback linearisable differential inclusion systems; multiinput systems; single-input systems; quadratic CLF; control Lyapunov function; continuous state feedback laws; globally asymptotical stabilisation; corresponding systems; sufficient and necessary conditions; systematic method; Lyapunov equation
Subjects: Stability in control theory; Mathematical analysis; Control system analysis and synthesis methods
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