Hybrid Model-Insensitive Control Using a Piezoelectric Sensoriactuator

Abstract

A hybrid control system based on a piezoelectric sensoriactuator is presented. The system uses the adaptive feedforward Time Averaged Gradient (TAG) descent algorithm to achieve persistent disturbance rejection. No system modeling is required for the TAG descent algorithm. However, this algorithm is not well suited for control of reverberant plants with slow modes, since the convergence rate is limited by the slowest time scales of the system. It is shown that Rate Feedback (RFB) control can be applied to a system to minimize the transient response and enhance the convergence characteristics of the TAG algorithm. An experimental demonstration of persistent and transient disturbance rejection in a cantilevered beam is presented. Results show that increasing the system damping by a factor of 4-6 increases the convergence time of the TAG algorithm by as much as 20 times.

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References

Anderson, E.H. and N.W. Hagood. 1992. "Self-Sensing Piezoelectric Actuation: Analysis and Application to Controlled Structures", in AIAA-92-valeur non numerique2465-CP, pp. 2141-2155.

Balas, M.J. 1979. "Direct Velocity Feedback Control of Large Space Structures ", Journal of Guidance and Control, 2:252-253.

Burdess, J.S. and A.V. Metcalf. 1985. "The Active Control of Forced Vibration Produced by Arbitrary Disturbances", Journal of Vibration, Acoustics, Stress, and Reliability in Design, 107:33-37.

Clark, R.L. 1995. "A Hybrid Autonomous Control Approach", Journal of Dynamic Systems, Measurement, and Control, 117(2):232-240.

Cole, D.G. and R.L. Clark. 1994. 'Adaptive Compensation of Piezoelectric Sensoriactuators", Journal of Intelligent Material Systems and Structures, 5:665-672.

Dosch, J.J. , D.J. Inman and E. Garcia. 1992. "A Self-Sensing Piezoelectric Actuator for Collocated Control", Journal of Intelligent Material Systems and Structures, 3:166-185.

Elliot, S.J. , I.M. Stothers and P.A. Nelson. 1989. "A Multiple Error Ims Algorithm and Its Application to the Active Control of Sound and Vibration", in IEEE Transactions on Acoustics Speech and Signal Processing, pp. 1423-1434.

Gibbs, G.P. and J.R.L. Clark. 1993. "Feedforward Higher Harmonic Control Using the h-Tag Algorithm", in Noise-Con 93, Williamsburg, VA.

Hagood, N.W. and E.H. Anderson. 1991. "Simultaneous Sensing and Actuation Using Piezoelectric Materials", in SPIE Vol. 1453, Active and Adaptive Optical Components, pp. 409-421.

10.

Hagood, N.W. , W.H. Chung and A. von Flotow. 1990. "Modelling of Piezoelectric Actuator Dynamics for Active Structural Control", Journal of Intelligent Material Systems and Smart Structures, 1:327-354.

11.

Kewley, D.L. , J.R.L. Clark and S.C. Southward. 1995. "Feedforward Control Using the Higher-Harmonic Time Averaged Gradient Descent Algorithm, Journal of Acoustical Society of America, 97(5):2892-2905.

12.

Meirovitch, L. and H. Baruh. 1981. "Optimal Control of Damped Flexible Gyroscopic Systems", Journal of Guidance and Control, 4:157-163.

13.

Saunders, W.R. , H.R. Robertshaw , and R.A. Burdisso. 1993. 'An Evaluation of Feedback, Adaptive Feedforward and Hybrid Controller Designs for Active Structural Control of a Lightly-Damped Structure", in Second Conference on Recent Advances in Active Control, pp. 339-354.

14.

Saunders, W.R. , H.H. Robertshaw and R.A. Burdisso. 1995. "A Hybrid Structural Approach for Narrowband and Impulsive Disturbance Rejection", to appear in Journal of Guidance, Control and Dynamics.

15.

Widrow, B.J. and S.D. Stearns. 1985. Adaptive Signal Processing, Prentice-Hall, Englewood Cliffs, NJ 07632.