Gain-scheduled fault detection on stochastic nonlinear systems with partially known transition jump rates

Abstract In this paper, the problem of continuous gain-scheduled fault detection (FD) is studied for a class of stochastic nonlinear systems which possesses partially known jump rates. Initially, by using gradient linearization approach, the nonlinear stochastic system is described by a series of linear jump models at some selected working points. Subsequently, observer-based residual generator is constructed for each jump linear system. Then, a new observer-design method is proposed for each re-constructed system to design H ∞ observers that minimize the influences of the disturbances, and to formulate a new performance index that increase the sensitivity to faults. Finally, continuous gain-scheduled approach is employed to design continuous FD observers on the whole nonlinear stochastic system. Simulation example is given to show the effectiveness and potential of the developed techniques.

[1]  David Henry,et al.  Design of fault diagnosis filters: A multi-objective approach , 2005, J. Frankl. Inst..

[2]  Marzuki Khalid,et al.  Fault detection and diagnosis for process control rig using artificial intelligent , 2010 .

[3]  Jeng-Shyang Pan,et al.  Robust observers for neutral jumping systems with uncertain information , 2006, Inf. Sci..

[4]  Henry Shu-Hung Chung,et al.  Stepwise quadratic state-space modeling technique for simulation of power electronics circuits , 1999, IEEE Trans. Ind. Electron..

[5]  Tor Arne Johansen,et al.  Gain-scheduled control of a solar power plant , 2000 .

[6]  Byung Hak Cho,et al.  Design of stability and performance robust fuzzy logic gain scheduler for nuclear steam generators , 1997 .

[7]  Peng Shi,et al.  Gain-Scheduled Guaranteed Cost Control for LPV Systems with Time-Varying State and Input Delays , 2008, 2008 3rd International Conference on Innovative Computing Information and Control.

[8]  Fei Liu,et al.  Finite-Time Gain-Scheduled Control on Stochastic Bioreactor Systems with Partially Known Transition Jump Rates , 2011, Circuits Syst. Signal Process..

[9]  Fei Liu,et al.  Neural network based stochastic optimal control for nonlinear Markov jump systems , 2010 .

[10]  M. Mahmoud,et al.  Robust Kalman filtering for continuous time-lag systems with Markovian jump parameters , 2003 .

[11]  Peng Shi,et al.  Kalman filtering for continuous-time uncertain systems with Markovian jumping parameters , 1999, IEEE Trans. Autom. Control..

[12]  X. Mao.  Stability of stochastic differential equations with Markovian switching , 1999 .

[13]  Peng Shi,et al.  Robust sampled-data control for Markovian jump linear systems , 2006, Autom..

[14]  Jie Chen,et al.  On eigenstructure assignment for robust fault diagnosis , 2000 .

[15]  M.D.S. Aliyu,et al.  H/sub /spl infin// control for Markovian jump nonlinear systems , 1998, Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171).

[16]  Marcelo C. M. Teixeira,et al.  Stabilizing controller design for uncertain nonlinear systems using fuzzy models , 1999, IEEE Trans. Fuzzy Syst..

[17]  E. Boukas,et al.  On stabilization of uncertain linear systems with jump parameters , 1999 .

[18]  Fei Liu,et al.  Gain-scheduled PI tracking control on stochastic nonlinear systems with partially known transition probabilities , 2011, J. Frankl. Inst..

[19]  P. Shi,et al.  Robust H1 control design for fuzzy singularly perturbed systems with Markovian jumps: an LMI approach , 2007 .

[20]  António J. Marques Cardoso,et al.  A Simple Offline Technique for Evaluating the Condition of Aluminum–Electrolytic–Capacitors , 2009, IEEE Transactions on Industrial Electronics.

[21]  J. Gertler.  Fault detection and isolation using parity relations , 1997 .

[22]  Sing Kiong Nguang,et al.  Robust H/sub /spl infin// control design for fuzzy singularly perturbed systems with Markovian jumps: an LMI approach , 2004, 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601).

[23]  H. Ye,et al.  Fault detection for Markovian jump systems , 2005 .

[24]  Peng Shi,et al.  Stability, ${l}_{2}$ -Gain and Asynchronous ${H}_{{\infty}}$ Control of Discrete-Time Switched Systems With Average Dwell Time , 2009, IEEE Transactions on Automatic Control.

[25]  Mario Benedetti,et al.  New high-performance thyristor gate control set for line-commutated converters , 1999, IEEE Trans. Ind. Electron..

[26]  Huijun Gao,et al.  I filtering for 2D Markovian jump systems , 2008, Autom..

[27]  P. Frank,et al.  Survey of robust residual generation and evaluation methods in observer-based fault detection systems , 1997 .

[28]  G. Nakura.  Stochastic Optimal Tracking with Preview by State Feedback for Linear Continuous-Time Markovian Jump Systems , 2010 .

[29]  Myung Jin Chung,et al.  A design of gain-scheduled control for a linear parameter varying system: an application to flight control , 2001 .

[30]  Marcelo Godoy Simões,et al.  A high-torque low-speed multiphase brushless machine-a perspective application for electric vehicles , 2002, IEEE Trans. Ind. Electron..

[31]  Peng Shi,et al.  Robust Hinfinity fuzzy filter design for uncertain nonlinear singularly perturbed systems with Markovian jumps: An LMI approach , 2007, Inf. Sci..