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H¿ control design of mixed eigenstructure assignment and H¿ filter for flexible structure vibration control

Conference Paper


Abstract


  • This paper presents a new H∞ control design approach of mixed eigenstructure assignment and H∞ filter for flexible structure vibration control. The new approach not only realizes the system dynamic response in time domain according to the state feedback gain matrix but also estimates the desired system state by H∞ filter and guarantees the performance specifications in frequency domain and robust stability. It is more effective in resolving the spillover problem for flexible structure vibration control and more simply in designing process. In this paper, an appropriate generalized plant is also constructed and deduced to a standard H∞ control problem based on feedback connection which guarantees both the realization of the controller and the optimization of performance specification. Effectiveness of the new approach is further validated by numerical simulation of vibration control for a cantilever beam bonded with piezoelectric actuators and sensors.

Publication Date


  • 2002

Citation


  • Du, H., Song, B., & Shi, X. (2002). H¿ control design of mixed eigenstructure assignment and H¿ filter for flexible structure vibration control. In Robotics, Automation, Control and Manufacturing: Trends, Principles and Applications - Proceedings of the 5th Biannual World Automation Congress, WAC 2002, ISORA 2002, ISIAC 2002 and ISOMA 2002 Vol. 14 (pp. 307-312).

Scopus Eid


  • 2-s2.0-78650247494

Start Page


  • 307

End Page


  • 312

Volume


  • 14

Abstract


  • This paper presents a new H∞ control design approach of mixed eigenstructure assignment and H∞ filter for flexible structure vibration control. The new approach not only realizes the system dynamic response in time domain according to the state feedback gain matrix but also estimates the desired system state by H∞ filter and guarantees the performance specifications in frequency domain and robust stability. It is more effective in resolving the spillover problem for flexible structure vibration control and more simply in designing process. In this paper, an appropriate generalized plant is also constructed and deduced to a standard H∞ control problem based on feedback connection which guarantees both the realization of the controller and the optimization of performance specification. Effectiveness of the new approach is further validated by numerical simulation of vibration control for a cantilever beam bonded with piezoelectric actuators and sensors.

Publication Date


  • 2002

Citation


  • Du, H., Song, B., & Shi, X. (2002). H¿ control design of mixed eigenstructure assignment and H¿ filter for flexible structure vibration control. In Robotics, Automation, Control and Manufacturing: Trends, Principles and Applications - Proceedings of the 5th Biannual World Automation Congress, WAC 2002, ISORA 2002, ISIAC 2002 and ISOMA 2002 Vol. 14 (pp. 307-312).

Scopus Eid


  • 2-s2.0-78650247494

Start Page


  • 307

End Page


  • 312

Volume


  • 14