Stabilisation of continuoustime switched 2D systems with all unstable modes
Stabilisation of continuoustime switched 2D systems with all unstable modes
 Author(s): Chaoxu Guan^{ 1} ; Zhongyang Fei^{ 1} ; Zhenhuan Wang^{ 2} ; Ligang Wu^{ 1}
 DOI: 10.1049/ietcta.2017.0736
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 Author(s): Chaoxu Guan^{ 1} ; Zhongyang Fei^{ 1} ; Zhenhuan Wang^{ 2} ; Ligang Wu^{ 1}


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Affiliations:
1:
Research Institute of Intelligent Control and Systems , Harbin Institute of Technology , Harbin 150001 , People's Republic of China ;
2: Space Control and Inertial Technology Research Center , Harbin Institute of Technology , Harbin 150001 , People's Republic of China

Affiliations:
1:
Research Institute of Intelligent Control and Systems , Harbin Institute of Technology , Harbin 150001 , People's Republic of China ;
 Source:
Volume 12, Issue 6,
17
April
2018,
p.
793 – 801
DOI: 10.1049/ietcta.2017.0736 , Print ISSN 17518644, Online ISSN 17518652
This study investigates the stabilisation of a class of continuoustime twodimensional (2D) switched nonlinear Roesser model with all modes unstable. Other than design controllers for the system, the authors would like to schedule the switching signal to achieve the asymptotical stability of the system. The main idea in this study is to utilise the alternative running of different subsystems to compensate the divergence of each subsystem, which thus achieves the stabilisation goal. By taking advantage of modedependent average dwell time property and a piecewise continuous Lyapunov function method, a general criterion is developed to guarantee the stability of the continuoustime switched 2D nonlinear system with a designed switching law. The obtained result is further used to deal with switched 2D linear system. Finally, the effectiveness and superiority of the proposed methods are illustrated by two numerical examples.
Inspec keywords: Lyapunov methods; nonlinear control systems; asymptotic stability; linear systems; switching systems (control)
Other keywords: stabilisation goal; continuoustime twodimensional switched nonlinear Roesser model; switched 2D linear system; all unstable modes; modedependent average dwell time property; continuoustime switched 2D nonlinear system; asymptotical stability; piecewise continuous Lyapunov function method; switching signal
Subjects: Nonlinear control systems; Stability in control theory; Timevarying control systems; Signal processing theory
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