Fault-tolerant control for uncertain linear systems via adaptive and LMI approaches

ABSTRACT This paper proposes a fault-tolerant control scheme for linear systems with mismatched uncertainties which are assumed to be norm-bounded, affine and polytopic, respectively. The linear fractional transformation (LFT) and linear matrix inequality (LMI) techniques are introduced to handle the mismatched uncertainties, and the adaptive techniques are used to compensate actuator faults. By using the cone complementary linearisation algorithm, the resulting stability criteria are converted into solvable ones. Then, on the basis of Lyapunov stability theory, it is shown that the solutions to the closed-loop system and error system are uniformly bounded, especially, the states converge asymptotically to zero. Finally, simulations are given to illustrate the effectiveness and advantages of the proposed theoretical results.

[1]  J. Stoustrup,et al.  Passive fault tolerant control of a double inverted pendulum—a case study , 2003 .

[2]  Dong Yue,et al.  Further Studies on Control Synthesis of Discrete-Time T–S Fuzzy Systems via Useful Matrix Equalities , 2014, IEEE Transactions on Fuzzy Systems.

[3]  D. Looze,et al.  An automatic redesign approach for restructurable control systems , 1985, IEEE Control Systems Magazine.

[4]  Youmin Zhang,et al.  Detection, estimation, and accommodation of loss of control effectiveness , 2000 .

[5]  Jovan D. Boskovic,et al.  A Decentralized Fault-Tolerant Control System for Accommodation of Failures in Higher-Order Flight Control Actuators , 2010, IEEE Transactions on Control Systems Technology.

[6]  Xiaoli Ma,et al.  Adaptive state feedback and tracking control of systems with actuator failures , 2001, IEEE Trans. Autom. Control..

[7]  Bo Yao,et al.  Reliable H∞ control for linear systems , 2008, 2008 7th World Congress on Intelligent Control and Automation.

[8]  Jovan D. Boskovic,et al.  Stable multiple model adaptive flight control for accommodation of a large class of control effector failures , 1999, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251).

[9]  Wei Wang,et al.  Adaptive actuator failure compensation control of uncertain nonlinear systems with guaranteed transient performance , 2010, Autom..

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

[11]  PooGyeon Park,et al.  Output feedback variable structure control for linear systems with uncertainties and disturbances , 2007, Autom..

[12]  Marcel Staroswiecki,et al.  Dynamic Output Feedback-Fault Tolerant Controller Design for Takagi–Sugeno Fuzzy Systems With Actuator Faults , 2010, IEEE Transactions on Fuzzy Systems.

[13]  Kai-Yew Lum,et al.  Fault-tolerant flight tracking control with stuck faults , 2003, Proceedings of the 2003 American Control Conference, 2003..

[14]  Guang-Hong Yang,et al.  Reliable $H_{\infty}$ Control of Linear Systems With Adaptive Mechanism , 2010, IEEE Transactions on Automatic Control.

[15]  Panagiotis D. Christofides,et al.  Isolation and handling of actuator faults in nonlinear systems , 2008, at - Automatisierungstechnik.

[16]  Marios M. Polycarpou,et al.  Adaptive fault-tolerant control of nonlinear uncertain systems: an information-based diagnostic approach , 2004, IEEE Transactions on Automatic Control.

[17]  Guang-Hong Yang,et al.  Adaptive Fault-Tolerant Tracking Control Against Actuator Faults With Application to Flight Control , 2006, IEEE Transactions on Control Systems Technology.

[18]  Kai-Yew Lum,et al.  Passive Actuators' Fault-Tolerant Control for Affine Nonlinear Systems , 2010, IEEE Transactions on Control Systems Technology.

[19]  Maria Letizia Corradini,et al.  Actuator Failure Identification and Compensation Through Sliding Modes , 2007, IEEE Transactions on Control Systems Technology.

[20]  Arghya Chakravarty,et al.  Actuator fault‐tolerant control (FTC) design with post‐fault transient improvement for application to aircraft control , 2016 .

[21]  Guang-Hong Yang,et al.  Robust Adaptive Fault-tolerant Compensation Control with Actuator Failures and Bounded Disturbances , 2009 .

[22]  Petros A. Ioannou,et al.  Robust redesign of adaptive control , 1984 .

[23]  Marc Bodson,et al.  Multivariable adaptive algorithms for reconfigurable flight control , 1997, IEEE Trans. Control. Syst. Technol..

[24]  Jianliang Wang,et al.  Reliable Hinfinity controller design for linear systems , 2001, Autom..

[25]  Guang-Hong Yang,et al.  Robust H ∞ and adaptive tracking control against actuator faults with a linearised aircraft application , 2013, Int. J. Syst. Sci..

[26]  Gang Tao,et al.  Adaptive failure compensation of two-state aircraft morphing actuators , 2006, IEEE Transactions on Control Systems Technology.

[27]  J. Jiang,et al.  Reliable State Feedback Control System Design Against Actuator Failures , 1998, Autom..

[28]  Marios M. Polycarpou.  Fault accommodation of a class of multivariable nonlinear dynamical systems using a learning approach , 2001, IEEE Trans. Autom. Control..

[29]  Jin Jiang,et al.  Fault-tolerant control against stuck actuator faults , 2005 .

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

[31]  Y. Soh,et al.  Reliable H 8 controller design for linear systems , 2001 .

[32]  Nhan T. Nguyen,et al.  Multiple-Model Adaptive Fault-Tolerant Control of a Planetary Lander , 2009 .

[33]  Guang-Hong Yang,et al.  Adaptive Fault-Tolerant Synchronization Control of a Class of Complex Dynamical Networks With General Input Distribution Matrices and Actuator Faults , 2017, IEEE Transactions on Neural Networks and Learning Systems.

[34]  Bin Jiang,et al.  Fault Estimation and Accommodation for Networked Control Systems with Transfer Delay , 2007 .

[35]  Yixin Diao,et al.  Stable fault-tolerant adaptive fuzzy/neural control for a turbine engine , 2001, IEEE Trans. Control. Syst. Technol..

[36]  Guang-Hong Yang,et al.  Robust adaptive fault-tolerant control for uncertain linear systems with actuator failures , 2012 .

[37]  Lingfeng Wang,et al.  Robust and adaptive actuator failure compensation designs for a rocket fairing structural-acoustic model , 2004, IEEE Transactions on Aerospace and Electronic Systems.

[38]  Hansheng Wu.  Adaptive robust tracking and model following of uncertain dynamical systems with multiple time delays , 2004, IEEE Transactions on Automatic Control.

[39]  Guang-Hong Yang,et al.  Robust adaptive fault-tolerant control for linear systems with actuator failures and mismatched parameter uncertainties , 2014 .

[40]  S. Ding,et al.  Fault estimation and fault-tolerant control for descriptor systems via proportional, multiple-integral and derivative observer design , 2007 .