Observer based active vibration control of flexible space structures with prescribed performance

Abstract This paper proposes an active vibration control approach to solve the vibration suppression problem of flexible space structures in the presence of external disturbances and parameter uncertainties. Based on the independent modal space control method, each mode can be decoupled and controlled separately. To meet the case that the velocity sensors are not available on the flexible structures, a neural network based state observer is designed for the estimation of the modal velocity. The neural network approximation is introduced into the observer design which can effectively deal with the disturbances and uncertainties in order to obtain more accurate observation results. Further, the controller and the adaptive law are derived by using the backstepping technique and prescribed performance control method with the stability of the whole closed-loop system analyzed via Lyapunov theory. Simulation results illustrate the effectiveness and vibration control performance of the proposed method.

[1]  Leonard Meirovitch.  Some problems associated with the control of distributed structures , 1987 .

[2]  Young-Jin Cha,et al.  Optimal placement of active control devices and sensors in frame structures using multi‐objective genetic algorithms , 2013 .

[3]  George A. Rovithakis,et al.  Low-Complexity Prescribed Performance Control of Uncertain MIMO Feedback Linearizable Systems , 2016, IEEE Transactions on Automatic Control.

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

[5]  Richard W. Longman,et al.  Active Control Technology for Large Space Structures , 1993 .

[6]  Zhi-cheng Qiu,et al.  Vibration control of a rotating two-connected flexible beam using chattering-free sliding mode controllers , 2016 .

[7]  Robert J. Bernhard,et al.  NON-COLLOCATED ADAPTIVE–PASSIVE VIBRATION CONTROL , 1997 .

[8]  Dongxu Li,et al.  Robust H ∞ vibration control for smart solar array structure , 2011 .

[9]  M. Balas.  Direct Velocity Feedback Control of Large Space Structures , 1979 .

[10]  George A. Rovithakis,et al.  Prescribed Performance Output Feedback Control: An approximate passivation approach , 2010, 18th Mediterranean Conference on Control and Automation, MED'10.

[11]  George A. Rovithakis,et al.  Prescribed performance tracking for flexible joint robots with unknown dynamics and variable elasticity , 2013, Autom..

[12]  Charalampos P. Bechlioulis,et al.  Robust Adaptive Control of Feedback Linearizable MIMO Nonlinear Systems With Prescribed Performance , 2008, IEEE Transactions on Automatic Control.

[13]  Xiaogang Wang,et al.  Neural network based boundary control of a vibrating string system with input deadzone , 2018, Neurocomputing.

[14]  Charalampos P. Bechlioulis,et al.  Adaptive control with guaranteed transient and steady state tracking error bounds for strict feedback systems , 2009, Autom..

[15]  Shengyuan Xu,et al.  Adaptive Output-Feedback Fuzzy Tracking Control for a Class of Nonlinear Systems , 2011, IEEE Transactions on Fuzzy Systems.

[16]  Naiming Qi,et al.  Active vibration suppression for maneuvering spacecraft with high flexible appendages , 2017 .

[17]  Helói F.G. Genari,et al.  Damage-tolerant active control using a modal H∞-norm-based methodology , 2017 .

[18]  T. K. Caughey,et al.  On the stability problem caused by finite actuator dynamics in the collocated control of large space structures , 1985 .

[19]  Bo Li,et al.  Extended State Observer based robust attitude control of spacecraft with input saturation , 2016 .

[20]  Jianping Yuan,et al.  Low-complexity prescribed performance control for spacecraft attitude stabilization and tracking , 2018 .

[21]  Q. Hu,et al.  Fault-Tolerant Tracking Control of Spacecraft with Attitude-Only Measurement Under Actuator Failures , 2014 .

[22]  Ning Wang,et al.  Control design for a vibrating flexible marine riser system , 2017, J. Frankl. Inst..

[23]  Wang Liu,et al.  Placement optimization of actuator and sensor and decentralized adaptive fuzzy vibration control for large space intelligent truss structure , 2011 .

[24]  Andy J. Keane,et al.  Passive Vibration Suppression of Flexible Space Structures via Optimal Geometric Redesign , 2001 .

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

[26]  S. Tong,et al.  Prescribed performance fuzzy adaptive fault-tolerant control of non-linear systems with actuator faults , 2014 .

[27]  Ehsan Ghotbi,et al.  Optimum placement of actuators in structural and control design using Stackelberg games , 2015 .

[28]  Zhijie Liu,et al.  Boundary Constrained Control of Flexible String Systems Subject to Disturbances , 2020, IEEE Transactions on Circuits and Systems II: Express Briefs.

[29]  Y. X. Li,et al.  Active Vibration Control of Elastically Connected Double-Beam Systems , 2017 .

[30]  Zhigang Ren,et al.  Output Feedback Stabilization for an Axially Moving System , 2019, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[31]  Zhijia Zhao,et al.  Boundary Adaptive Robust Control of a Flexible Riser System With Input Nonlinearities , 2019, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[32]  George A. Rovithakis,et al.  Prescribed Performance Output Feedback/Observer-Free Robust Adaptive Control of Uncertain Systems Using Neural Networks , 2011, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[33]  Jun Shi,et al.  Adaptive neural network control of a flexible string system with non-symmetric dead-zone and output constraint , 2017, Neurocomputing.

[34]  Rui Zhang,et al.  Novel prescribed performance neural control of a flexible air-breathing hypersonic vehicle with unknown initial errors. , 2015, ISA transactions.

[35]  J. L. Fanson,et al.  Positive position feedback control for large space structures , 1990 .

[36]  Shuzhi Sam Ge,et al.  Adaptive NN control of uncertain nonlinear pure-feedback systems , 2002, Autom..

[37]  Yongming Li,et al.  Adaptive output-feedback control design with prescribed performance for switched nonlinear systems , 2017, Autom..

[38]  L. Meirovitch,et al.  The implementation of modal filters for control of structures , 1985 .