A design method for T-S fuzzy systems with partly immeasurable premise variables subject to actuator saturation

This study is concerned with the problem of control synthesis of T-S fuzzy systems with partly immeasurable premise variables subject to actuator saturation and external disturbances. By using measurable premise variables of fuzzy models as the premise variables of fuzzy controllers, a new fuzzy static output feedback control scheme is proposed. Different from the existing ones, the measurable premise variables can directly be used in the fuzzy controllers, which is helpful for the larger domain of attraction. A numerical example is given to illustrate the effectiveness of the proposed method.

[1]  Ahmed El Hajjaji,et al.  M-matrix based robust stability and stabilization for uncertain discrete-time switched TS fuzzy systems with time-varying delays. , 2016, ISA transactions.

[2]  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.

[3]  Tingshu Hu,et al.  An analysis and design method for linear systems subject to actuator saturation and disturbance , 2002, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).

[4]  Zongli Lin,et al.  Robust stability analysis and fuzzy-scheduling control for nonlinear systems subject to actuator saturation , 2003, IEEE Trans. Fuzzy Syst..

[5]  Fuwen Yang,et al.  H∞ control for networked systems with random communication delays , 2006, IEEE Trans. Autom. Control..

[6]  Sophie Tarbouriech,et al.  Anti-windup design with guaranteed regions of stability for discrete-time linear systems , 2004, Proceedings of the 2004 American Control Conference.

[7]  Ho Jae Lee,et al.  Robust stabilization of T-S fuzzy systems: Fuzzy static output feedback under parametric uncertainty , 2009 .

[8]  Guang-Hong Yang,et al.  Observer-Based Output Feedback Control for Discrete-Time T-S Fuzzy Systems With Partly Immeasurable Premise Variables , 2017, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[9]  Sung Hyun Kim,et al.  ${\cal H}_{\infty}$ State-Feedback Control Design for Fuzzy Systems Using Lyapunov Functions With Quadratic Dependence on Fuzzy Weighting Functions , 2008, IEEE Transactions on Fuzzy Systems.

[10]  Kazuo Tanaka,et al.  Fuzzy model-based servo control for nonlinear systems with input constraint , 2009, 2009 IEEE Control Applications, (CCA) & Intelligent Control, (ISIC).

[11]  Haiping Du,et al.  Fuzzy Control for Nonlinear Uncertain Electrohydraulic Active Suspensions With Input Constraint , 2009, IEEE Trans. Fuzzy Syst..

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

[13]  Sophie Tarbouriech,et al.  Optimization and implementation of dynamic anti-windup compensators with multiple saturations in flight control systems , 2009 .

[14]  Han Ho Choi,et al.  Adaptive controller design for uncertain fuzzy systems using variable structure control approach , 2009, Autom..

[15]  Fen Wu,et al.  Output feedback control of saturated discrete-time linear systems using parameter-dependent Lyapunov functions , 2008, Syst. Control. Lett..

[16]  Hugang Han,et al.  T-S Fuzzy Controller in Consideration of Input Constraint , 2007, Second International Conference on Innovative Computing, Informatio and Control (ICICIC 2007).

[17]  Salim Labiod,et al.  Robust H∞ static output feedback stabilization of T-S fuzzy systems subject to actuator saturation , 2012 .

[18]  Dong Yue,et al.  An Improved Input Delay Approach to Stabilization of Fuzzy Systems Under Variable Sampling , 2012, IEEE Transactions on Fuzzy Systems.

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

[20]  Shaocheng Tong,et al.  Adaptive Fuzzy Control via Observer Design for Uncertain Nonlinear Systems With Unmodeled Dynamics , 2013, IEEE Transactions on Fuzzy Systems.

[21]  Shaocheng Tong,et al.  Adaptive Fuzzy Output Tracking Control of MIMO Nonlinear Uncertain Systems , 2007, IEEE Transactions on Fuzzy Systems.

[22]  Prodromos Daoutidis,et al.  Stabilization of nonlinear processes with input constraints , 2000 .

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

[24]  Zheng-Guang Wu,et al.  Reliable $H_\infty$ Control for Discrete-Time Fuzzy Systems With Infinite-Distributed Delay , 2009, IEEE Transactions on Fuzzy Systems.

[25]  Mansour Souissi,et al.  Robust Tracking Control for Takagi–Sugeno Fuzzy Systems With Unmeasurable Premise Variables: Application to Tank System , 2014 .

[26]  Guang-Hong Yang,et al.  Static Output Feedback Control Synthesis for Linear Systems With Time-Invariant Parametric Uncertainties , 2007, IEEE Transactions on Automatic Control.

[27]  Mohammed Chadli,et al.  STATIC OUTPUT FEEDBACK FOR TAKAGI-SUGENO SYSTEMS: AN LMI APPROACH , 2002 .

[28]  Huaping Liu,et al.  Piecewise Fuzzy Anti-Windup Dynamic Output Feedback Control of Nonlinear Processes With Amplitude and Rate Actuator Saturations , 2009, IEEE Trans. Fuzzy Syst..

[29]  Luca Zaccarian,et al.  Piecewise-quadratic Lyapunov functions for systems with deadzones or saturations , 2009, Syst. Control. Lett..

[30]  Guang-Hong Yang,et al.  Static output feedback Hinfinity control of a class of nonlinear discrete-time systems , 2009, Fuzzy Sets Syst..

[31]  José Ragot,et al.  Observers design for uncertain Takagi-Sugeno systems with unmeasurable premise variables and unknown , 2011 .

[32]  Wei-Yen Wang,et al.  Hierarchical T-S fuzzy-neural control of anti-lock braking system and active suspension in a vehicle , 2012, Autom..

[33]  Dong Yue,et al.  H∞H∞ stabilization criterion with less complexity for nonuniform sampling fuzzy systems , 2013, Fuzzy Sets Syst..

[34]  Chouki Sentouh,et al.  LMI-based control synthesis of constrained Takagi-Sugeno fuzzy systems subject to L2 or L∞ disturbances , 2016, Neurocomputing.

[35]  Said Mammar,et al.  Observer design for two-wheeled vehicle: A Takagi-Sugeno approach with unmeasurable premise variables , 2011, 2011 19th Mediterranean Conference on Control & Automation (MED).

[36]  Han-Xiong Li,et al.  Design of distributed H∞ fuzzy controllers with constraint for nonlinear hyperbolic PDE systems , 2012, Autom..

[37]  Sung Hyun Kim,et al.  Hinfinity state-feedback control for fuzzy systems with input saturation via fuzzy weighting-dependent Lyapunov functions , 2009, Comput. Math. Appl..

[38]  Ahmed El Hajjaji,et al.  Permutation matrix based robust stability and stabilization for uncertain discrete-time switched TS fuzzy systems with time-varying delays , 2016, Neurocomputing.

[39]  Shengyuan Xu,et al.  Robust H/sub /spl infin// control for uncertain discrete-time-delay fuzzy systems via output feedback controllers , 2005, IEEE Transactions on Fuzzy Systems.

[40]  Huijun Gao,et al.  Fuzzy-Model-Based Control of an Overhead Crane With Input Delay and Actuator Saturation , 2012, IEEE Transactions on Fuzzy Systems.

[41]  Guang-Hong Yang,et al.  Robust static output feedback control synthesis for linear continuous systems with polytopic uncertainties , 2013, Autom..

[42]  Ji-Chang Lo,et al.  Robust H/sub /spl infin// nonlinear control via fuzzy static output feedback , 2003 .

[43]  Guang-Hong Yang,et al.  Reliable State Feedback Control of T–S Fuzzy Systems With Sensor Faults , 2015, IEEE Transactions on Fuzzy Systems.

[44]  Hongye Su,et al.  State estimation for discrete Markovian jumping neural networks with time delay , 2010, Neurocomputing.

[45]  Sophie Tarbouriech,et al.  LMI relaxations for robust stability of linear systems with saturating controls , 1999, Autom..

[46]  Abdellah Benzaouia,et al.  Stabilization of uncertain saturated discrete-time switching systems , 2009 .

[47]  Luca Zaccarian,et al.  Anti-windup synthesis for linear control systems with input saturation: Achieving regional, nonlinear performance , 2008, Autom..

[48]  Huai-Ning Wu.  Robust H2 fuzzy output feedback control for discrete-time nonlinear systems with parametric uncertainties , 2007, Int. J. Approx. Reason..