Nonlinear Proportional-Derivative Control Incorporating Closed-Loop Control Allocation for Spacecraft

A novel saturated proportional-derivative control law incorporated with closed-loop control allocation is proposed for spacecraft attitude stabilization in this paper. More specifically, a saturated proportional-derivative-based baseline nonlinear controller is designed to guarantee the globally asymptotic stability under control input/signal constraints. Then, a closed-loop constrained optimal control allocation scheme is employed to distribute the moments synthesized by the baseline controller over the redundant actuators in the presence of constraints due to actuator amplitude and rate constraints. The optimal control solution is to be found by penalizing the control allocation errors and rates using optimal quadratic programming algorithms. A significant feature of this work is that the asymptotic stability with the closed-loop control allocation is guaranteed theoretically. Simulation results are presented to illustrate the performance of the proposed scheme.

[1]  Gene F. Franklin,et al.  Digital control of dynamic systems , 1980 .

[2]  P. Hughes.  Spacecraft Attitude Dynamics , 1986 .

[3]  Weiping Li,et al.  Applied Nonlinear Control , 1991 .

[4]  J. Wen,et al.  The attitude control problem , 1991 .

[5]  Wayne C. Durham.  Constrained Control Allocation , 1992 .

[6]  Jianbo Lu,et al.  Feedback control logic for spacecraft eigenaxis rotations under slew rate and control constraints , 1994 .

[7]  J. Wen,et al.  Robust attitude stabilization of spacecraft using nonlinear quaternion feedback , 1995, IEEE Trans. Autom. Control..

[8]  James M. Buffington,et al.  Lyapunov stability analysis of daisy chain control allocation , 1996 .

[9]  P. Tsiotras.  Stabilization and optimality results for the attitude control problem , 1996 .

[10]  Rush D. Robinett,et al.  Nonlinear Adaptive Control of Spacecraft Maneuvers , 1997 .

[11]  Panagiotis Tsiotras.  Further passivity results for the attitude control problem , 1998, IEEE Trans. Autom. Control..

[12]  A. Teel,et al.  Control Allocation and Zero Dynamics , 1996 .

[13]  Miroslav Krstic,et al.  Inverse optimal stabilization of a rigid spacecraft , 1999, IEEE Trans. Autom. Control..

[14]  Fuzhen Zhang.  Matrix Theory: Basic Results and Techniques , 1999 .

[15]  R. Mehra,et al.  Robust Adaptive Variable Structure Control of Spacecraft Under Control Input Saturation , 2001 .

[16]  Marc Bodson,et al.  Evaluation of optimization methods for control allocation , 2001 .

[17]  G. Xing,et al.  Nonlinear Attitude State Tracking Control for Spacecraft , 2001 .

[18]  Ola Härkegård.  Dynamic Control Allocation Using Constrained Quadratic Programming , 2002 .

[19]  David B. Doman,et al.  Integrated Adaptive Guidance and Control for Re-Entry Vehicles with Flight-Test Results , 2004 .

[20]  R. Mehra,et al.  Robust Tracking Control Design for Spacecraft Under Control Input Saturation , 2004 .

[21]  M. Akella,et al.  Globally stabilizing saturated attitude control in the presence of bounded unknown disturbances , 2005 .

[22]  Torkel Glad,et al.  Resolving actuator redundancy - optimal control vs. control allocation , 2005, Autom..

[23]  Bin Jiang,et al.  Reconfigurable Control Allocation against Aircraft Control Effector Failures , 2007, 2007 IEEE International Conference on Control Applications.

[24]  Halim Alwi,et al.  Fault Tolerant Sliding Mode Control Design with Piloted Simulator Evaluation , 2008 .

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

[26]  Jongrae Kim,et al.  Engineering Notes Backstepping Control Design with Actuator Torque Bound for Spacecraft Attitude Maneuver , 2010 .

[27]  A. Casavola,et al.  Fault‐tolerant adaptive control allocation schemes for overactuated systems , 2010 .

[28]  Youmin Zhang,et al.  Angular Velocity-Free Control for Rigid Spacecraft Attitude Stabilization under Input Constraint , 2011 .

[29]  Ilya Kolmanovsky,et al.  Stability properties and cross coupling performance of the control allocation scheme CAPIO , 2010 .

[30]  Yuxin Su,et al.  Globally Asymptotic Stabilization of Spacecraft with Simple Saturated Proportional-Derivative Control , 2011 .