Characteristic model-based discrete-time sliding mode control for spacecraft with variable tilt of flexible structures

In this paper, the finite-time attitude tracking control problem for the spacecrafts with variable tilt of flexible appendages in the conditions of exogenous disturbances and inertia uncertainties is addressed. First the characteristic modeling method is applied to the problem of the spacecraft modeling. Second, a novel adaptive sliding mode surface is designed based on the characteristic model. Furthermore, a discrete-time sliding mode control (DTSMC) law, which makes the tracking error converge into a predefined bound in finite time, is proposed by employing the parameters of characteristic model associated with the sliding mode surface to provide better performances, robustness, faster response, and higher control precision. The designed DTSMC includes the adaptive control architecture and is chattering-free. Finally, digital simulations of a sun synchronous orbit satellite (SSOS) are presented to illustrate effectiveness of the control strategies as well as to verify the practical feasibility of the rapid maneuver mission.

[1]  Guo Li,et al.  Characteristic model based control of the X-34 reusable launch vehicle in its climbing phase , 2009, Science in China Series F: Information Sciences.

[2]  Changyin Sun,et al.  Nonlinear Characteristic Model–Based SMC and Its Application to Flexible Satellites , 2014 .

[3]  Jun Hu,et al.  Characteristic Model-Based All-Coefficient Adaptive Control Method and Its Applications , 2007, IEEE Transactions on Systems, Man, and Cybernetics, Part C (Applications and Reviews).

[4]  Fuchun Sun,et al.  Modeling and controller design for complex flexible nonlinear systems via a fuzzy singularly perturbed approach , 2014, Inf. Sci..

[5]  Huaguang Zhang,et al.  An enhanced input-delay approach to sampled-data stabilization of T–S fuzzy systems via mixed convex combination , 2014 .

[6]  Xiaodong Liu,et al.  Adaptive reconfigurable control of systems with time‐varying delay against unknown actuator faults , 2014 .

[7]  Zbigniew Galias Dynamical Behaviors of Discretized Second-Order Terminal Sliding-Mode Control Systems , 2012, IEEE Transactions on Circuits and Systems II: Express Briefs.

[8]  Xinghuo Yu,et al.  Computer-Controlled Variable Structure Systems: The State-of-the-Art , 2012, IEEE Transactions on Industrial Informatics.

[9]  Baolin Wu,et al.  Decentralized sliding‐mode control for attitude synchronization in spacecraft formation , 2013 .

[10]  Sandrine Le Ballois,et al.  Low-order robust attitude control of an earth observation satellite , 1999 .

[11]  Xinghuo Yu,et al.  Phase trajectory and transient analysis for nonsingular terminal sliding mode control systems , 2014 .

[12]  Prathyush P. Menon,et al.  Robustness analysis of attitude and orbit control systems for flexible satellites , 2010 .

[13]  Yuanqing Xia,et al.  Compound Control Methodology for Flight Vehicles , 2013 .

[14]  Xinghuo Yu,et al.  Discrete-Time Terminal Sliding Mode Control Systems Based on Euler's Discretization , 2014, IEEE Transactions on Automatic Control.

[15]  Yao Yu,et al.  Some Control Problems for Near Space Hypersonic Vehicles , 2013 .

[16]  Taeyoung Lee,et al.  Exponential stability of an attitude tracking control system on SO(3) for large-angle rotational maneuvers , 2012, Syst. Control. Lett..

[17]  Vadim I. Utkin,et al.  A control engineer's guide to sliding mode control , 1999, IEEE Trans. Control. Syst. Technol..

[18]  O. Kaynak,et al.  On the stability of discrete-time sliding mode control systems , 1987 .

[19]  Daniel Alazard,et al.  Dynamic Modeling and Analysis of Spacecraft With Variable Tilt of Flexible Appendages , 2014 .

[20]  Yongchun Xie,et al.  Characteristic modeling and the control of flexible structure , 2007, Science in China Series : Information Sciences.

[21]  Huijun Gao,et al.  Multi-Objective Robust $H_{\infty}$ Control of Spacecraft Rendezvous , 2009, IEEE Transactions on Control Systems Technology.

[22]  Xinghuo Yu,et al.  Study of Periodic Solutions in Discretized Two-Dimensional Sliding-Mode Control Systems , 2011, IEEE Transactions on Circuits and Systems II: Express Briefs.

[23]  Wendong Xiao,et al.  Optimal Tracking Control for a Class of Unknown Discrete-time Systems with Actuator Saturation via Data-based ADP Algorithm , 2013 .