Distributed Attitude Control for Multispacecraft via Takagi–Sugeno Fuzzy Approach

This paper investigates the problem of distributed attitude control for spacecraft formation flying systems based on the Takagi–Sugeno (T–S) fuzzy modeling method, where external disturbances and parameter uncertainties are considered. The spacecraft attitude dynamics is constructed as T–S fuzzy model and a modified distributed fuzzy-based <inline-formula><tex-math notation="LaTeX">$H_\infty$</tex-math></inline-formula> controller is designed. It is proven that the attitude of multispacecraft can synchronously reach zero by using the designed controller. Numerical examples are provided to illustrate the effectiveness of the proposed controller and comparisons with the existing results.

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

[2]  Randal W. Beard,et al.  Consensus seeking in multiagent systems under dynamically changing interaction topologies , 2005, IEEE Transactions on Automatic Control.

[3]  Christopher D. Hall,et al.  Decentralized Coordinated Attitude Control Within a Formation of Spacecraft , 2006 .

[4]  Thayananthan Thayaparan,et al.  Robust Adaptive PID Tracking Control Design for Uncertain Spacecraft Systems: A Fuzzy Approach , 2006 .

[5]  Jaime Hueso Gonzalez,et al.  TanDEM-X: A satellite formation for high-resolution SAR interferometry , 2007 .

[6]  Wei Ren,et al.  Formation Keeping and Attitude Alignment for Multiple Spacecraft Through Local Interactions , 2007 .

[7]  Ligang Wu,et al.  A New Approach to Stability Analysis and Stabilization of Discrete-Time T-S Fuzzy Time-Varying Delay Systems , 2011, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[8]  Jianbin Qiu,et al.  Model Approximation for Discrete-Time State-Delay Systems in the T–S Fuzzy Framework , 2011, IEEE Transactions on Fuzzy Systems.

[9]  Honghai Liu,et al.  Reliable Fuzzy Control for Active Suspension Systems With Actuator Delay and Fault , 2012, IEEE Transactions on Fuzzy Systems.

[10]  Guang-Hong Yang,et al.  Switching-Type H∞ Filter Design for T - S Fuzzy Systems With Unknown or Partially Unknown Membership Functions , 2013, IEEE Transactions on Fuzzy Systems.

[11]  An-Min Zou,et al.  Quaternion-Based Distributed Output Feedback Attitude Coordination Control for Spacecraft Formation Flying , 2013 .

[12]  Jianbin Qiu,et al.  Universal Fuzzy Models and Universal Fuzzy Controllers for Stochastic Nonaffine Nonlinear Systems , 2013, IEEE Transactions on Fuzzy Systems.

[13]  Jianbin Qiu,et al.  Static-Output-Feedback ${\mathscr H}_{\bm \infty }$ Control of Continuous-Time T - S Fuzzy Affine Systems Via Piecewise Lyapunov Functions , 2013, IEEE Transactions on Fuzzy Systems.

[14]  Xiangpeng Xie,et al.  Control Synthesis of Discrete-Time T–S Fuzzy Systems Based on a Novel Non-PDC Control Scheme , 2013, IEEE Transactions on Fuzzy Systems.

[15]  Michael A. Demetriou,et al.  Engineering Notes Adaptive Attitude Synchronization Control of Spacecraft Formation with Adaptive Synchronization Gains , 2014 .

[16]  An-Min Zou,et al.  Distributed Attitude Synchronization and Tracking Control for Multiple Rigid Bodies , 2014, IEEE Transactions on Control Systems Technology.

[17]  Huai-Ning Wu,et al.  Robust $L_{\bm \infty}$-Gain Fuzzy Disturbance Observer-Based Control Design With Adaptive Bounding for a Hypersonic Vehicle , 2014, IEEE Transactions on Fuzzy Systems.

[18]  Huijun Gao,et al.  Coordination for Linear Multiagent Systems With Dynamic Interaction Topology in the Leader-Following Framework , 2014, IEEE Transactions on Industrial Electronics.

[19]  Susanne Lehner,et al.  Algorithm for Sea Surface Wind Retrieval From TerraSAR-X and TanDEM-X Data , 2014, IEEE Transactions on Geoscience and Remote Sensing.

[20]  Hamid Reza Karimi,et al.  Finite-Time $H_{\infty }$ Filtering for T–S Fuzzy Discrete-Time Systems With Time-Varying Delay and Norm-Bounded Uncertainties , 2015, IEEE Transactions on Fuzzy Systems.

[21]  Mohammad Hassan Asemani,et al.  A Robust $H_{\infty}$ Non-PDC Design Scheme for Singularly Perturbed T–S Fuzzy Systems With Immeasurable State Variables , 2015, IEEE Transactions on Fuzzy Systems.

[22]  Baolin Wu.  Spacecraft Attitude Control with Input Quantization , 2016 .

[23]  Junmin Wang,et al.  $\mathcal{H}_{\infty}$ Observer Design for LPV Systems With Uncertain Measurements on Scheduling Variables: Application to an Electric Ground Vehicle , 2016, IEEE/ASME Transactions on Mechatronics.

[24]  Hui Zhang,et al.  Modified Order-Reduction Method for Distributed Control of Multi-Spacecraft Networks With Time-Varying Delays , 2018, IEEE Transactions on Control of Network Systems.