Robust vibration control of uncertain systems using variable parameter feedback and model-based fuzzy strategies

Abstract In this paper, two control strategies are investigated for robust vibration control of parameter uncertain systems. Firstly, for the variable parameter feedback control, the region of the adjustable parameter r is determined rigorously and accurately so as to improve the robustness of the controller. Then, for the model-based fuzzy control (MBFC), the robustness can be achieved by updating the coefficient matrix Θ ( α ( k )) on-line. Compared with the conventional design, the derived formulae for the MBFC are for systems with multi-output rather than single output. Finally, some experiments on vibration control of a thin-plate system were carried out.

[1]  Woonbong Hwang,et al.  Vibration control of laminated composite plate with piezoelectric sensor/actuator: active and passive control methods , 1994 .

[2]  Shiuh-Jer Huang,et al.  Active vibration control of a dynamic absorber using fuzzy algorithms , 1996 .

[3]  T. T. Soong,et al.  Passive and Active Structural Vibration Control in Civil Engineering , 1994, CISM International Centre for Mechanical Sciences.

[4]  Jang Moo Lee,et al.  Plate with piezoelectric actuators/sensors , 1997 .

[5]  Michio Sugeno,et al.  Fuzzy identification of systems and its applications to modeling and control , 1985, IEEE Transactions on Systems, Man, and Cybernetics.

[6]  Shiuh-Jer Huang,et al.  A Combination of Fuzzy Logic and Neural Network Algorithms for Active Vibration Control , 1996 .

[7]  Chun-Liang Lin,et al.  Robust design criteria for active control of flexible systems , 1994 .

[8]  R. P. Ma,et al.  A NEURAL NETWORK BASED ACTIVE VIBRATION ABSORBER WITH STATE FEEDBACK CONTROL , 1996 .

[9]  Daniel J. Inman,et al.  Vibration suppression by eigenstructure optimization , 1995 .

[10]  L. H. Yam,et al.  STUDY ON MODEL ORDER DETERMINATION OF THIN PLATE SYSTEMS WITH PARAMETER UNCERTAINTIES , 1999 .

[11]  Jang Moo Lee,et al.  Robust LQG Control of an All-Clamped Thin Plate with Piezoelectric Actuators/Sensors , 1997 .

[12]  L. H. Yam,et al.  SENSITIVITY ANALYSES OF SENSOR LOCATIONS FOR VIBRATION CONTROL AND DAMAGE DETECTION OF THIN-PLATE SYSTEMS , 2001 .

[13]  Robert Babuska Fuzzy Modelling and Identification , 1997 .

[14]  Marcello R. Napolitano,et al.  Active Vibration Control Using the Modified Independent Modal Space Control (M.I.M.S.C.) Algorithm and Neural Networks as State Estimators , 1994 .

[15]  Gang Feng,et al.  Analysis and design of uncertain fuzzy control systems. Part I. Fuzzy modelling and identification , 1996, Proceedings of IEEE 5th International Fuzzy Systems.

[16]  Moon K. Kwak,et al.  FUZZY-LOGIC BASED VIBRATION SUPPRESSION CONTROL EXPERIMENTS ON ACTIVE STRUCTURES , 1996 .

[17]  Haim Abramovich,et al.  Model-Independent Vibration Control of Flexible Beam-Like Structures Using a Fuzzy Based Adaptation Strategy , 1997 .

[18]  William T. Baumann AN ADAPTIVE FEEDBACK APPROACH TO STRUCTURAL VIBRATION SUPPRESSION , 1997 .

[19]  K. T. Chan,et al.  Robust synthesis of active controller for thin plate systems with parameter uncertainties , 2000 .

[20]  Leang-San Shieh,et al.  Robust optimal pole-placement in a vertical strip and disturbance rejection , 1995 .

[21]  T. J. Sutton,et al.  Performance of feedforward and feedback systems for active control , 1996, IEEE Trans. Speech Audio Process..

[22]  Scott D. Snyder,et al.  Active control of vibration using a neural network , 1995, IEEE Trans. Neural Networks.

[23]  M. Sugeno,et al.  Structure identification of fuzzy model , 1988 .