Robust fast adaptive fault estimation for systems with time-varying interval delay

This paper studies the problem of actuator fault estimation for linear continuous systems, which is subject to time-varying interval delay and norm-bounded external disturbance. Based on the fast adaptive fault estimation (FAFE) algorithm, our attention is focused on the design of fault estimation filters to guarantee the filtering error system to be asymptotically stable with a prescribed H∞ performance. A delay-dependent criterion is established to reduce the conservatism of designing procedure, and the FAFE algorithm can enhance the performance of fault estimation. A novel Lyapunov–Krasovskii function is employed, which includes the information of the upper and the lower bounds of the time delay. An improved sufficient condition for the existence of such a filter is established in terms of the linear matrix inequality (LMI) by the Schur complements and the cone complementary linearization algorithm. In addition, the results for the systems with time-varying interval delay are simplified when the delay is constant and the delay is not considered. Four illustrative examples are given to show the effectiveness of the proposed method.

[1]  Guo-Ping Liu,et al.  Delay-dependent robust stability criteria for uncertain neutral systems with mixed delays , 2004, Syst. Control. Lett..

[2]  Pagavathigounder Balasubramaniam,et al.  Delay-interval-dependent robust stability results for uncertain stochastic systems with Markovian jumping parameters ☆ , 2011 .

[3]  Mehrdad Saif,et al.  A new approach to robust fault detection and identification , 1993 .

[4]  Qing-Long Han,et al.  On Hinfinity control for linear systems with interval time-varying delay , 2005, Autom..

[5]  Ke Zhang,et al.  Less conservative criteria for fault accommodation of time‐varying delay systems using adaptive fault diagnosis observer , 2010 .

[6]  Guang-Hong Yang,et al.  Fault detection filter design for stochastic time-delay systems with sensor faults , 2012, Int. J. Syst. Sci..

[7]  Jian Zhang,et al.  Robust sensor fault estimation scheme for satellite attitude control systems , 2013, J. Frankl. Inst..

[8]  Huijun Gao,et al.  Data-Based Techniques Focused on Modern Industry: An Overview , 2015, IEEE Transactions on Industrial Electronics.

[9]  K. Gu,et al.  Stability of Linear Systems With Time‐Varying Delay: a Generalized Discretized Lyapunov Functional Approach , 2001 .

[10]  P. Shi,et al.  Robust fault detection for continuous-time switched delay systems: an linear matrix inequality approach , 2010 .

[11]  Hamid Reza Karimi,et al.  Robust Fault Detection of Linear Uncertain Time-Delay Systems Using Unknown Input Observers , 2013, J. Appl. Math..

[12]  Qingling Zhang,et al.  Fault detection for singular multiple time-delay systems with application to electrical circuit , 2014, J. Frankl. Inst..

[13]  L. Ghaoui,et al.  A cone complementarity linearization algorithm for static output-feedback and related problems , 1997, IEEE Trans. Autom. Control..

[14]  PooGyeon Park,et al.  Reciprocally convex approach to stability of systems with time-varying delays , 2011, Autom..

[15]  Bo Song,et al.  Mixed H∞ and passive filtering for singular systems with time delays , 2013, Signal Process..

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

[17]  Ke Zhang,et al.  Fast fault estimation and accommodation for dynamical systems , 2009 .

[18]  K.-S. Lee,et al.  Process fault isolation for linear systems with unknown inputs , 2004 .

[19]  Tong Heng Lee,et al.  Stabilization of uncertain fuzzy time-delay systems via variable structure control approach , 2005, IEEE Transactions on Fuzzy Systems.

[20]  Ligang Wu,et al.  Induced l2 filtering of fuzzy stochastic systems with time-varying delays , 2013, IEEE Transactions on Cybernetics.

[21]  Xu Yang,et al.  Robust PLS approach for KPI-related prediction and diagnosis against outliers and missing data , 2014, Int. J. Syst. Sci..

[22]  S. Nguang,et al.  Simultaneous robust actuator and sensor fault estimation for uncertain non-linear Lipschitz systems , 2014 .

[23]  Hieu Minh Trinh,et al.  State and Input Simultaneous Estimation for a Class of Time-Delay Systems With Uncertainties , 2007, IEEE Transactions on Circuits and Systems II: Express Briefs.

[24]  Dong Yue,et al.  STATE FEEDBACK CONTROLLER DESIGN OF NETWORKED CONTROL SYSTEMS WITH PARAMETER UNCERTAINTY AND STATE‐DELAY , 2006 .

[25]  Xiaoyu Sun,et al.  Robust adaptive fault estimation for a commercial aircraft oscillatory fault scenario , 2012, Proceedings of 2012 UKACC International Conference on Control.

[26]  C. Aubrun,et al.  Fast adaptive fault estimation algorithm: Application to unicycle rOBOT , 2013, 2013 Conference on Control and Fault-Tolerant Systems (SysTol).

[27]  Huaguang Zhang,et al.  A framework of robust fault estimation observer design for continuous‐time/discrete‐time systems , 2013 .

[28]  Jianhua Zhang,et al.  A new criterion of fault estimation for neutral delay systems , 2015, 2015 7th International Conference on Modelling, Identification and Control (ICMIC).

[29]  Zidong Wang,et al.  Finite-Horizon $H_{\infty}$ Fault Estimation for Uncertain Linear Discrete Time-Varying Systems With Known Inputs , 2013, IEEE Transactions on Circuits and Systems II: Express Briefs.

[30]  C. Lien,et al.  Stability criteria for uncertain neutral systems with interval time-varying delays , 2008 .

[31]  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.

[32]  Peng Shi,et al.  Robust Fault Detection for Switched Linear Systems With State Delays , 2009, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[33]  Jiang Bin,et al.  Analysis and design of adaptive fault estimation for time-varying delay systems , 2008, 2008 27th Chinese Control Conference.

[34]  Marcel Staroswiecki,et al.  Static output feedback based fault accommodation design for continuous-time dynamic systems , 2011, Int. J. Control.

[35]  Christopher Edwards,et al.  On the solvability of the constrained Lyapunov problem , 2007, 2006 American Control Conference.

[36]  Christopher Edwards.  A comparison of sliding mode and unknown input observers for fault reconstruction , 2004 .

[37]  Yong-Yan Cao,et al.  Analysis and synthesis of nonlinear time-delay systems via fuzzy control approach , 2000, IEEE Trans. Fuzzy Syst..

[38]  A. El Hajjaji,et al.  Adaptive fault tolerant control design for Takagi–Sugeno fuzzy systems with interval time-varying delay , 2014 .

[39]  Bin Jiang,et al.  A new criterion of fault estimation for neutral delay systems , 2009, International Conference on Modelling, Identification and Control.

[40]  Shen Yin,et al.  Performance Monitoring for Vehicle Suspension System via Fuzzy Positivistic C-Means Clustering Based on Accelerometer Measurements , 2015, IEEE/ASME Transactions on Mechatronics.

[41]  Bin Jiang,et al.  An improved adaptive fault estimation design for polytopic LPV systems with application to helicopter models , 2009, 2009 7th Asian Control Conference.

[42]  Hong Wang,et al.  Fault detection and estimation for nonlinear systems with linear output structure , 2005 .

[43]  Okyay Kaynak,et al.  Improved PLS Focused on Key-Performance-Indicator-Related Fault Diagnosis , 2015, IEEE Transactions on Industrial Electronics.

[44]  Bin Jiang,et al.  Fault estimation observer design for discrete‐time systems in finite‐frequency domain , 2015 .

[45]  Martin J. Corless,et al.  State and Input Estimation for a Class of Uncertain Systems , 1998, Autom..

[46]  Steven X. Ding,et al.  A Review on Basic Data-Driven Approaches for Industrial Process Monitoring , 2014, IEEE Transactions on Industrial Electronics.

[47]  Peng Shi,et al.  Multi-constrained fault estimation observer design with finite frequency specifications for continuous-time systems , 2014, Int. J. Control.

[48]  Seyedmojtaba Tabatabaeipour,et al.  Robust observer-based fault estimation and accommodation of discrete-time piecewise linear systems , 2014, J. Frankl. Inst..

[49]  Shengyuan Xu,et al.  Delay-dependent L2-Linfinity filter design for stochastic time-delay systems , 2007, Syst. Control. Lett..

[50]  Jean-Pierre Richard,et al.  Time-delay systems: an overview of some recent advances and open problems , 2003, Autom..

[51]  Qing-Guo Wang,et al.  An Improved Hα Filter Design for Systems With Time-Varying Interval Delay , 2006, IEEE Transactions on Circuits and Systems II: Express Briefs.

[52]  Renfa Li,et al.  A delay-derivative-dependent approach to robust H∞ filter design for uncertain systems with time-varying distributed delays , 2011, J. Frankl. Inst..

[53]  Xinzhi Liu,et al.  Robust fault detection filter design for a class of switched systems with time-varying delay , 2011, Proceedings of the 30th Chinese Control Conference.

[54]  Ligang Wu,et al.  Reliable Filtering With Strict Dissipativity for T-S Fuzzy Time-Delay Systems , 2014, IEEE Transactions on Cybernetics.

[55]  Dong Yue,et al.  Robust H ∞ filter for discrete-time linear system with uncertain missing measurements and non-linearity , 2013, IET Signal Process..

[56]  Jian Zhang,et al.  Robust H∞ adaptive descriptor observer design for fault estimation of uncertain nonlinear systems , 2014, J. Frankl. Inst..

[57]  Ke Zhang,et al.  Adaptive Observer-based Fast Fault Estimation , 2008 .

[58]  Yuanqing Xia,et al.  Actuator fault detection filter design for discrete-time systems with a descriptor system method , 2014, Neurocomputing.

[59]  Hong Wang,et al.  Actuator fault diagnosis: an adaptive observer-based technique , 1996, IEEE Trans. Autom. Control..

[60]  Yun Chen,et al.  New delay-dependent L2-L∞ filter design for stochastic time-delay systems , 2009, Signal Process..