Terminal Sliding Mode Control Allocation for Nonlinear Systems

In this paper, the problem of tracking control is studied for a class of nonlinear systems with actuator faults/failures. The control strategy has two steps. In the first step, a virtual control input is found using terminal sliding mode control which can easily tackle the output tracking control problem in a finite time. In the second step, control allocation (CA) transforms the virtual control signals to the real-control inputs. The CA problem is solved using a neural network which satisfies control constraints and during faults or failures redistributes the control signals to the healthy actuators. The effectiveness of the proposed control approach is demonstrated by the simulation results of the near space vehicle system.

[1]  Halim Alwi,et al.  Design and Analysis of an Integral Sliding Mode Fault-Tolerant Control Scheme , 2012, IEEE Transactions on Automatic Control.

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

[3]  Yufei Xu,et al.  Fault Tolerant Control for a Class of Nonlinear Systems with Application to Near Space Vehicle , 2011, Circuits Syst. Signal Process..

[4]  Yuri B. Shtessel,et al.  Tailless aircraft flight control using multiple time scale reconfigurable sliding modes , 2002, IEEE Trans. Control. Syst. Technol..

[5]  Jianliang Wang,et al.  Nonlinear Control Allocation for Non-Minimum Phase Systems , 2009, IEEE Transactions on Control Systems Technology.

[6]  S. Effati,et al.  A novel recurrent nonlinear neural network for solving quadratic programming problems , 2011 .

[7]  Xinghuo Yu,et al.  Fast terminal sliding-mode control design for nonlinear dynamical systems , 2002 .

[8]  Gang Tao,et al.  An adaptive control scheme for systems with unknown actuator failures , 2001, Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148).

[9]  X. Yao,et al.  An adaptive actuator failure compensation scheme for a class of nonlinear MIMO systems , 2013, J. Frankl. Inst..

[10]  Shengyuan Xu,et al.  Adaptive actuator failure compensation with unknown control gain signs , 2011 .

[11]  Mou Chen,et al.  Constrained Control Allocation for Overactuated Aircraft Using a Neurodynamic Model , 2016, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[12]  Hongxing Li,et al.  Finite-time control for nonlinear spacecraft attitude based on terminal sliding mode technique. , 2014, ISA transactions.

[13]  Vadim I. Utkin,et al.  Sliding mode control in electromechanical systems , 1999 .

[14]  Jun Wang,et al.  Adaptive Output Feedback Control Using Fault Compensation and Fault Estimation for Linear System with Actuator Failure , 2013, Int. J. Autom. Comput..

[15]  T. Johansen Optimizing nonlinear control allocation , 2004, 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601).

[16]  Tor Arne Johansen,et al.  Constrained nonlinear control allocation with singularity avoidance using sequential quadratic programming , 2004, IEEE Transactions on Control Systems Technology.

[17]  Jianliang Wang,et al.  Reliable robust flight tracking control: an LMI approach , 2002, IEEE Trans. Control. Syst. Technol..

[18]  Halim Alwi,et al.  Fault tolerant control using sliding modes with on-line control allocation , 2008, Autom..

[19]  Guanghong Yang,et al.  Adaptive fault-tolerant H∞ control against sensor failures , 2008 .

[20]  Jinde Cao,et al.  A new neural network for solving quadratic programming problems with equality and inequality constraints , 2014, Math. Comput. Simul..

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

[22]  Jovan D. Boskovic,et al.  Design of control allocation algorithms for overactuated aircraft under constraints using LMIs , 2002, Proceedings of the 41st IEEE Conference on Decision and Control, 2002..

[23]  Xinghuo Yu,et al.  Hybrid Terminal Sliding-Mode Observer Design Method for a Permanent-Magnet Synchronous Motor Control System , 2009, IEEE Transactions on Industrial Electronics.

[24]  Xinghuo Yu,et al.  On nonsingular terminal sliding-mode control of nonlinear systems , 2013, Autom..

[25]  Aaas News,et al.  Book Reviews , 1893, Buffalo Medical and Surgical Journal.

[26]  James M. Buffington,et al.  Tailless Aircraft Control Allocation. , 1997 .

[27]  Yangming Li,et al.  A class of finite-time dual neural networks for solving quadratic programming problems and its k-winners-take-all application , 2013, Neural Networks.

[28]  Alireza Nazemi A dynamical model for solving degenerate quadratic minimax problems with constraints , 2011, J. Comput. Appl. Math..

[29]  Wei Wang,et al.  Adaptive compensation for infinite number of actuator failures or faults , 2011, Autom..

[30]  John A. M. Petersen,et al.  Constrained quadratic programming techniques for control allocation , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).

[31]  Yongming Li,et al.  Observer-Based Adaptive Decentralized Fuzzy Fault-Tolerant Control of Nonlinear Large-Scale Systems With Actuator Failures , 2014, IEEE Transactions on Fuzzy Systems.