Abstract

Application of H∞ control for multimodal vibration suppression of a slewing spacecraft using piezoelectric actuators is presented in this paper. For treating vibration suppression independent of attitude control law while taking into account relative modal responses; a method for modeling effect of attitude maneuver excitations as modal disturbances is proposed. Commercial finite element software ANSYS is used for obtaining system model. Modifications of system model and selection of weights required for control synthesis are explained in detail. The method is applied for suppressing vibration of first two modes of a flexible spacecraft. Results showed effectiveness of the proposed method.

Highlights

  • Because of the high cost associated with transportation of materials to space, spacecraft are necessarily designed to be as light weight as possible

  • For treating vibration suppression independent of attitude control law while taking into account relative modal responses; a method for modeling effect of attitude maneuver excitations as modal disturbances is proposed in this paper

  • For suppressing vibrations independent of attitude control law/method while ensuring robustness to spillover, the following procedure is adopted in this paper: (a) Modification of system model, (b) Uncertainty modeling of unmolded higher modes, (c) weight selection, and (d) system interconnection, controller synthesis and controller order reduction

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Summary

Introduction

Because of the high cost associated with transportation of materials to space, spacecraft are necessarily designed to be as light weight as possible This low weight requirement together with the large size of current spacecraft make there structure extremely flexible. A major concern in application of active feedback control is phenomena of spillover – instability of closed-loop system caused by observation/excitation of un-modeled dynamics by sensors/actuators [3]. VSC (variable structure control) represents a systematic approach to the design of on/off control laws for multivariable systems, which is good matching to the thruster actuator mode commonly used in a satellites [15]. For treating vibration suppression independent of attitude control law while taking into account relative modal responses; a method for modeling effect of attitude maneuver excitations as modal disturbances is proposed in this paper. The rest of the paper is as follows: mathematical modeling is described in Section 2; modification of system state space matrices and selection of weights required for control synthesis are discussed in Section 3; simulation results are presented in Section 4 and Section 5 concludes this paper

Modeling
Controller design
Modification of system model
Uncertainty modeling of unmolded higher modes
Weights selection
Results
Conclusions
System matrices

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