JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE) ›› 2016, Vol. 46 ›› Issue (3): 79-86.doi: 10.6040/j.issn.1672-3961.0.2015.394

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Stabilization and H∞ control for nonlinear switched Hamiltonian systems subject to actuator saturation

LI Han, WEI Airong*   

  1. School of Control Science and Engineering, Shandong University, Jinan 250061, Shandong, China
  • Received:2015-12-02 Online:2016-06-30 Published:2015-12-02

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Abstract: The stabilization and H∞ control problems of nonlinear switched Hamiltonian systems(NSHSs)subject to actuator saturation under arbitrary switching paths was investigated. The stabilization of NSHSs with actuator saturation was studied by designing suitable state feedback and deriving a sufficient condition. Then, an H∞ controller was designed to realize the H∞ control of NSHSs subject to actuator saturation with external disturbances, under the designed controller, γ-dissipation inequality held for the system with external disturbances, moreover, the globally asymptotical stabilization was achieved for the corresponding closed-loop system without external disturbances. A simulation example showed that the proposed method and results were effective.

Key words: H∞ control, stabilization, Hamiltonian systems, nonlinear switched, actuator saturation

CLC Number: 

  • TP273
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