Robust static output-feedback controller design against sensor failure for vehicle dynamics

This study deals with the design of a robust fault estimation and fault-tolerant control for vehicle lateral dynamics subject to external disturbance and unknown sensor faults. Firstly, a descriptor state and fault observer is designed to achieve the system state and sensor fault estimates simultaneously. Secondly, based on the information of on-line fault estimates, a robust fault-tolerant controller based on static output-feedback controller (SOFC) design approach is developed. To provide linear matrix inequalities of less conservatism, the results are conducted in the non-quadratic framework dealing with unmeasurable premise variables case. Simulation results show the effectiveness of the proposed control approach when the vehicle road adhesion conditions change and the sideslip angle is unavailable for measurement.

[1]  Jun Yoneyama,et al.  Hinfinity filtering for fuzzy systems with immeasurable premise variables: An uncertain system approach , 2009, Fuzzy Sets Syst..

[2]  Huijun Gao,et al.  Distributed H∞ Filtering for a Class of Markovian Jump Nonlinear Time-Delay Systems Over Lossy Sensor Networks , 2013, IEEE Transactions on Industrial Electronics.

[3]  A. El Hajjaji,et al.  Road curvature estimation for vehicle lane departure detection using a robust Takagi–Sugeno fuzzy observer , 2013 .

[4]  Hamid Reza Karimi,et al.  Robust Delay-Dependent $H_{\infty}$ Control of Uncertain Time-Delay Systems With Mixed Neutral, Discrete, and Distributed Time-Delays and Markovian Switching Parameters , 2011, IEEE Transactions on Circuits and Systems I: Regular Papers.

[5]  J. Lauber,et al.  An Efficient Lyapunov Function for Discrete T–S Models: Observer Design , 2012, IEEE Transactions on Fuzzy Systems.

[6]  Mohammed Chadli,et al.  LMI Solution for Robust Static Output Feedback Control of Discrete Takagi–Sugeno Fuzzy Models , 2012, IEEE Transactions on Fuzzy Systems.

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

[8]  Kevin Guelton,et al.  Robust non-quadratic static output feedback controller design for Takagi-Sugeno systems using descriptor redundancy , 2013, Eng. Appl. Artif. Intell..

[9]  Hamid Reza Karimi,et al.  A linear matrix inequality approach to robust fault detection filter design of linear systems with mixed time-varying delays and nonlinear perturbations , 2010, J. Frankl. Inst..

[10]  Marcel Staroswiecki,et al.  Fault Accommodation for Nonlinear Dynamic Systems , 2006, IEEE Transactions on Automatic Control.

[11]  F. Thau Observing the state of non-linear dynamic systems† , 1973 .

[12]  Peng Shi,et al.  Sensor fault estimation and tolerant control for Itô stochastic systems with a descriptor sliding mode approach , 2013, Autom..

[13]  Atanas A. Popov,et al.  Stability and performance studies of driver-vehicle systems with electronic chassis control , 2004 .

[14]  Hamid Reza Karimi,et al.  Robust Observer Design for Unknown Inputs Takagi–Sugeno Models , 2013, IEEE Transactions on Fuzzy Systems.

[15]  Daniel W. C. Ho,et al.  Robust ${{\cal H}}_{\infty}$ Filtering for Markovian Jump Systems With Randomly Occurring Nonlinearities and Sensor Saturation: The Finite-Horizon Case , 2011, IEEE Transactions on Signal Processing.

[16]  James Lam,et al.  Iterative LMI approach for robust fault detection observer design , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).

[17]  Hamid Reza Karimi,et al.  Fault detection for discrete-time Markov jump linear systems with partially known transition probabilities , 2010, Int. J. Control.

[18]  J. Gertler,et al.  Optimal residual decoupling for robust fault diagnosis , 1995 .

[19]  Baocang Ding Quadratic boundedness via dynamic output feedback for constrained nonlinear systems in Takagi-Sugeno's form , 2009, Autom..

[20]  Huijun Gao,et al.  Fault Detection for Markovian Jump Systems With Sensor Saturations and Randomly Varying Nonlinearities , 2012, IEEE Transactions on Circuits and Systems I: Regular Papers.

[21]  Kazuo Tanaka,et al.  Fuzzy control systems design and analysis , 2001 .

[22]  Antonio Sala,et al.  Asymptotically necessary and sufficient conditions for stability and performance in fuzzy control: Applications of Polya's theorem , 2007, Fuzzy Sets Syst..

[23]  Karl-Erik Årzén,et al.  Piecewise quadratic stability of fuzzy systems , 1999, IEEE Trans. Fuzzy Syst..

[24]  M. T. Khadir,et al.  Robust fault tolerant tracking controller design for unknown inputs T–S models with unmeasurable premise variables , 2012 .

[25]  Kazuo Tanaka,et al.  A Descriptor System Approach to Fuzzy Control System Design via Fuzzy Lyapunov Functions , 2007, IEEE Transactions on Fuzzy Systems.

[26]  Youmin Zhang,et al.  Bibliographical review on reconfigurable fault-tolerant control systems , 2003, Annu. Rev. Control..

[27]  M. Chadli,et al.  Multi‐objective H −  ∕ H ∞  fault detection observer design for Takagi–Sugeno fuzzy systems with unmeasurable premise variables: descriptor approach , 2013 .

[28]  Hamid Reza Karimi,et al.  Output-Feedback-Based $H_{\infty}$ Control for Vehicle Suspension Systems With Control Delay , 2014, IEEE Transactions on Industrial Electronics.

[29]  E. Yaz Linear Matrix Inequalities In System And Control Theory , 1998, Proceedings of the IEEE.

[30]  Ahmed El Hajjaji,et al.  Robust observer-based fault-tolerant control for vehicle lateral dynamics , 2008 .

[31]  P. Khargonekar,et al.  Robust stabilization of linear systems with norm-bounded time-varying uncertainty , 1988 .

[32]  Kazuo Tanaka,et al.  A multiple Lyapunov function approach to stabilization of fuzzy control systems , 2003, IEEE Trans. Fuzzy Syst..

[33]  Reinaldo M. Palhares,et al.  A systematic approach to improve multiple Lyapunov function stability and stabilization conditions for fuzzy systems , 2009, Inf. Sci..

[34]  B. Marx,et al.  Design of observers for TakagiߝSugeno descriptor systems with unknown inputs and application to fault diagnosis , 2007 .

[35]  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.

[36]  Yongduan Song,et al.  A Novel Approach to Filter Design for T–S Fuzzy Discrete-Time Systems With Time-Varying Delay , 2012, IEEE Transactions on Fuzzy Systems.

[37]  R. Rajamani Observers for Lipschitz nonlinear systems , 1998, IEEE Trans. Autom. Control..