Vibration suppression of smart nonlinear flexible appendages of a rotating satellite by using hybrid adaptive sliding mode/Lyapunov control

In this paper, a hybrid adaptive sliding mode/Lyapunov controller is designed for both the rotational maneuver and the vibration control of smart flexible appendages of a satellite moving in a circular orbit. The satellite is considered as a rigid hub and two flexible appendages with attached piezoelectric layers as sensors and actuators. Each appendage is considered as a nonlinear beam undergoing large deflection. These governing equations of motion are obtained using a Lagrange–Rayleigh–Ritz technique and assumed mode method. The dynamic equations of motion are nonlinear and coupled due to the large angle trajectory and appendages large deflection. A through look at the resulting equations shows that the flexible satellite dynamics including the vibrations of the appendages and their rigid maneuver occur in two different time scales. Using the singular perturbation theory, the dynamics of the flexible satellite are divided into two slow and fast subsystems, the former associated with rigid-body maneuver, while the latter is a result of the vibrations of the appendages. Use of this hybrid controller allows us to cope with parameters uncertainty and disturbances of the system. The stability of the hybrid controller is studied by using the Lyapunov approach. Finally, the whole system is modeled and the simulation results show the efficient performance of the proposed hybrid controller.

[1]  Takashi Kida,et al.  Design and implementation of robust symmetric attitude controller for ETS-VIII spacecraft , 2010 .

[2]  Qinglei Hu.  Sliding mode maneuvering control and active vibration damping of three-axis stabilized flexible spacecraft with actuator dynamics , 2008 .

[3]  A. C. Soudack,et al.  Analytical solution of attitude motion for spacecraft with a slewing appendage , 1994 .

[4]  Sun Zhaowei,et al.  Passivity-based control for a flexible spacecraft in the presence of disturbances , 2010 .

[5]  Qinglei Hu,et al.  Sliding mode attitude control with L2-gain performance and vibration reduction of flexible spacecraft with actuator dynamics , 2010 .

[6]  L. Meirovitch.  Principles and techniques of vibrations , 1996 .

[7]  Qinglei Hu,et al.  Variable structure control and active vibration suppression of flexible spacecraft during attitude maneuver , 2005 .

[8]  HU QINGLEI,et al.  A Hybrid Scheme of Feed-forward / Feedback Control for Vibration Suppression of Flexible Spacecraft with On-Off actuators during Attitude Maneuver , 2006 .

[9]  Yu Chen,et al.  Networked flexible spacecraft attitude maneuver based on adaptive fuzzy sliding mode control , 2009 .

[10]  Qinglei Hu,et al.  Variable structure maneuvering control and vibration suppression for flexible spacecraft subject to input nonlinearities , 2006 .

[11]  Rong Zhang,et al.  Adaptive output feedback control of spacecraft with flexible appendages by modeling error compensation , 2004 .

[12]  Mohammad Eghtesad,et al.  Maneuver control and active vibration suppression of a two-link flexible arm using a hybrid variable structure/Lyapunov control design , 2010 .

[13]  Stephen P. Banks,et al.  Optimal attitude control for three-axis stabilized flexible spacecraft , 2005 .

[14]  Zidong Wang,et al.  Sliding mode and shaped input vibration control of flexible systems , 2008, IEEE Transactions on Aerospace and Electronic Systems.

[15]  Qinglei Hu,et al.  Spacecraft vibration suppression using variable structure output feedback control and smart materials , 2006 .

[16]  Sahjendra N. Singh,et al.  Simplified adaptive control of an orbiting flexible spacecraft , 2007 .

[17]  M. Xin,et al.  Nonlinear optimal control of spacecraft approaching a tumbling target , 2011 .

[18]  Afzal Suleman,et al.  Multibody Dynamics and Nonlinear Control of Flexible Space Structures , 2004 .

[19]  Lihua Xie,et al.  Robust and adaptive variable structure output feedback control of uncertain systems with input nonlinearity , 2008, Autom..

[20]  Qinglei Hu,et al.  Adaptive backstepping fault-tolerant control for flexible spacecraft with unknown bounded disturbances and actuator failures. , 2010, ISA transactions.

[21]  Qinglei Hu,et al.  Robust adaptive sliding mode attitude maneuvering and vibration damping of three-axis-stabilized flexible spacecraft with actuator saturation limits , 2009 .

[22]  Leila Notash,et al.  Adaptive sliding mode control with uncertainty estimator for robot manipulators , 2010 .

[23]  Hui Liu,et al.  Sliding mode control for low-thrust Earth-orbiting spacecraft formation maneuvering , 2006 .

[24]  Hassan K. Khalil,et al.  Singular perturbation methods in control : analysis and design , 1986 .

[25]  Bing Xiao,et al.  Fault-tolerant sliding mode attitude control for flexible spacecraft under loss of actuator effectiveness , 2011 .

[26]  Arun K. Banerjee.  MINIMUM TIME FUEL EFFICIENT MANEUVER OF FLEXIBLE SPACECRAFT WITH VIBRATION AMPLITUDE CONSTRAINTS , 1995 .

[27]  Qinglei Hu.  Robust adaptive backstepping attitude and vibration control with L2-gain performance for flexible spacecraft under angular velocity constraint , 2009 .

[28]  Mohammad Eghtesad,et al.  BUCKLING AND FLUTTER OF A COLUMN ENHANCED BY PIEZOELECTRIC LAYERS AND LUMPED MASS UNDER A FOLLOWER FORCE , 2010 .

[29]  P. M. Bainum,et al.  Vibration Control Of Flexible Spacecraft Integrating A Momentum Exchange Controller And A Distributed Piezoelectric Actuator , 1994 .

[30]  Mohammad Eghtesad,et al.  Vibration suppression and adaptive-robust control of a smart flexible satellite with three axes maneuvering , 2011 .

[31]  Qinglei Hu,et al.  Semi-globally input-to-state stable controller design for flexible spacecraft attitude stabilization under bounded disturbances , 2010 .

[32]  S. Manabe.  A Suggestion of Fractional-Order Controller for Flexible Spacecraft Attitude Control , 2002 .

[33]  Hakan Elmali,et al.  Theory and implementation of sliding mode control with perturbation estimation (SMCPE) , 1992, Proceedings 1992 IEEE International Conference on Robotics and Automation.

[34]  Chong-Won Lee,et al.  Sliding mode control with perturbation estimation: application to motion control of parallel manipulator , 1998 .

[35]  David Rubin,et al.  Introduction to Continuum Mechanics , 2009 .

[36]  Qinglei Hu,et al.  Input shaping and variable structure control for simultaneous precision positioning and vibration reduction of flexible spacecraft with saturation compensation , 2008 .

[37]  Qinglei Hu,et al.  A composite control scheme for attitude maneuvering and elastic mode stabilization of flexible spacecraft with measurable output feedback , 2009 .

[38]  Hyochoong Bang,et al.  Flexible spacecraft attitude maneuver by application of sliding mode control , 2005 .