Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach

From the Publisher: A comprehensive treatment of model-based fuzzy control systems This volume offers full coverage of the systematic framework for the stability and design of nonlinear fuzzy control systems. Building on the Takagi-Sugeno fuzzy model, authors Tanaka and Wang address a number of important issues in fuzzy control systems, including stability analysis, systematic design procedures, incorporation of performance specifications, numerical implementations, and practical applications. Issues that have not been fully treated in existing texts, such as stability analysis, systematic design, and performance analysis, are crucial to the validity and applicability of fuzzy control methodology. Fuzzy Control Systems Design and Analysis addresses these issues in the framework of parallel distributed compensation, a controller structure devised in accordance with the fuzzy model. This balanced treatment features an overview of fuzzy control, modeling, and stability analysis, as well as a section on the use of linear matrix inequalities (LMI) as an approach to fuzzy design and control. It also covers advanced topics in model-based fuzzy control systems, including modeling and control of chaotic systems. Later sections offer practical examples in the form of detailed theoretical and experimental studies of fuzzy control in robotic systems and a discussion of future directions in the field. Fuzzy Control Systems Design and Analysis offers an advanced treatment of fuzzy control that makes a useful reference for researchers and a reliable text for advanced graduate students in the field.

[1]  Kazuo Tanaka,et al.  Parallel distributed compensation for Takagi-Sugeno fuzzy models: multiobjective controller design , 1999, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251).

[2]  Kazuo Tanaka,et al.  Robust stabilization of a class of uncertain nonlinear systems via fuzzy control: quadratic stabilizability, H∞ control theory, and linear matrix inequalities , 1996, IEEE Trans. Fuzzy Syst..

[3]  Kazuo Tanaka,et al.  A unified approach to controlling chaos via an LMI-based fuzzy control system design , 1998 .

[4]  Kazuo Tanaka,et al.  Fuzzy descriptor systems and nonlinear model following control , 2000, IEEE Trans. Fuzzy Syst..

[5]  Hao Ying,et al.  Sufficient conditions on uniform approximation of multivariate functions by general Takagi-Sugeno fuzzy systems with linear rule consequent , 1998, IEEE Trans. Syst. Man Cybern. Part A.

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

[7]  K. Furuta,et al.  Memoryless stabilization of uncertain linear systems including time-varying state delays , 1992 .

[8]  T. Ikeda,et al.  Design of fuzzy control systems based on relaxed LMI stability conditions , 1996, Proceedings of 35th IEEE Conference on Decision and Control.

[9]  T. Taniguchi,et al.  Model-based fuzzy control of TORA system: fuzzy regulator and fuzzy observer design via LMIs that represent decay rate, disturbance rejection, robustness, optimality , 1998, 1998 IEEE International Conference on Fuzzy Systems Proceedings. IEEE World Congress on Computational Intelligence (Cat. No.98CH36228).

[10]  R. Gorez,et al.  Fuzzy gain scheduling controllers based on fuzzy models , 1996, Proceedings of IEEE 5th International Fuzzy Systems.

[11]  James J. Buckley,et al.  Universal fuzzy controllers , 1992, Autom..

[12]  R. Kálmán On the general theory of control systems , 1959 .

[13]  Masayoshi Tomizuka,et al.  A framework for analysis and synthesis of fuzzy linguistic control systems , 1991 .

[14]  A. Rantzer,et al.  On the computation of piecewise quadratic Lyapunov functions , 1997, Proceedings of the 36th IEEE Conference on Decision and Control.

[15]  Jixin Qian,et al.  On Delay-Dependent Stability and Decay Estimate for Uncertain Systems with Time-Varying Delay , 1998, Autom..

[16]  H. Wang,et al.  An LMI-based stable fuzzy control of nonlinear systems and its application to control of chaos , 1996, Proceedings of IEEE 5th International Fuzzy Systems.

[17]  K. Tanaka,et al.  Multi-objective fuzzy control of high rise/high speed elevators using LMIs , 1998, Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207).

[18]  M. Spivak A comprehensive introduction to differential geometry , 1979 .

[19]  D. Luenberger Dynamic equations in descriptor form , 1977 .

[20]  Pierre Apkarian,et al.  Self-scheduled H∞ control of linear parameter-varying systems: a design example , 1995, Autom..

[21]  Kazuo Tanaka,et al.  Universal trajectory tracking control using fuzzy descriptor systems , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).

[22]  Kazuo Tanaka,et al.  Synthesis of gain-scheduled controller for a class of LPV systems , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).

[23]  Kazuo Tanaka,et al.  Fuzzy control of chaotic systems using LMIs: regulation, synchronization and chaos model following , 1998, 1998 IEEE International Conference on Fuzzy Systems Proceedings. IEEE World Congress on Computational Intelligence (Cat. No.98CH36228).

[24]  TanakaK.,et al.  Fuzzy regulators and fuzzy observers , 1998 .

[25]  R. Stephenson A and V , 1962, The British journal of ophthalmology.

[26]  J. Li Parallel distributed compensation for Takagi-Sugeno fuzzy models : New stability conditions and dynamic feedback designs , 1999 .

[27]  Hua O. Wang,et al.  Fuzzy control of nonlinear time-delay systems: stability and design issues , 2001, Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148).

[28]  T. Taniguchi,et al.  A new PDC for fuzzy reference models , 1999, FUZZ-IEEE'99. 1999 IEEE International Fuzzy Systems. Conference Proceedings (Cat. No.99CH36315).

[29]  Dennis S. Bernstein,et al.  A benchmark problem for nonlinear control design: problem statement, experimental testbed, and passive nonlinear compensation , 1995, Proceedings of 1995 American Control Conference - ACC'95.

[30]  Kazuo Tanaka,et al.  Parallel distributed compensation of nonlinear systems by Takagi-Sugeno fuzzy model , 1995, Proceedings of 1995 IEEE International Conference on Fuzzy Systems..

[31]  Juan Luis Castro,et al.  Fuzzy logic controllers are universal approximators , 1995, IEEE Trans. Syst. Man Cybern..

[32]  Kazuo Tanaka,et al.  Fuzzy Control of an Articulated Vehicle and its Stability Analysis , 1996 .

[33]  Stephen P. Boyd,et al.  Linear Matrix Inequalities in Systems and Control Theory , 1994 .

[34]  Kazuo Tanaka,et al.  Fuzzy descriptor systems: stability analysis and design via LMIs , 1999, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251).

[35]  Kazuo Tanaka,et al.  T-S fuzzy model with linear rule consequence and PDC controller: a universal framework for nonlinear control systems , 2000, Ninth IEEE International Conference on Fuzzy Systems. FUZZ- IEEE 2000 (Cat. No.00CH37063).

[36]  Kwang Y. Lee,et al.  Stability analysis of a fuzzy logic controller , 1997, Proceedings of the 1997 American Control Conference (Cat. No.97CH36041).

[37]  Stephen P. Boyd,et al.  Linear controller design: limits of performance , 1991 .

[38]  H.O. Wang,et al.  Fuzzy regulators and fuzzy observers: a linear matrix inequality approach , 1997, Proceedings of the 36th IEEE Conference on Decision and Control.

[39]  R. Rovatti,et al.  On the approximation capabilities of the homogeneous Takagi-Sugeno model , 1996, Proceedings of IEEE 5th International Fuzzy Systems.

[40]  Geuntaek Kang,et al.  Design of TSK fuzzy controller based on TSK fuzzy model using pole placement , 1998, 1998 IEEE International Conference on Fuzzy Systems Proceedings. IEEE World Congress on Computational Intelligence (Cat. No.98CH36228).

[41]  Guanrong Chen,et al.  Stability analysis of nonlinear fuzzy PI control systems , 1993, Third International Conference on Industrial Fuzzy Control and Intelligent Systems.

[42]  Juing-Huei Su Further results on the robust stability of linear systems with a single time delay , 1994 .

[43]  Kazuo Tanaka,et al.  Fuzzy regulators and fuzzy observers: relaxed stability conditions and LMI-based designs , 1998, IEEE Trans. Fuzzy Syst..

[44]  Kazuo Tanaka,et al.  A robust stabilization problem of fuzzy control systems and its application to backing up control of a truck-trailer , 1994, IEEE Trans. Fuzzy Syst..

[45]  Andrzej Piegat The Stability of Fuzzy Control Systems , 2001 .

[46]  Kestutis Pyragas Continuous control of chaos by self-controlling feedback , 1992 .

[47]  A. U.S.,et al.  Multiobjective dynamic feedback control ofTakagi-Sugeno model via LMIsJing , 1998 .

[48]  J. Stoustrup,et al.  Robust stability and performance of uncertain systems in state space , 1992, [1992] Proceedings of the 31st IEEE Conference on Decision and Control.

[49]  C. Scherer,et al.  Multiobjective output-feedback control via LMI optimization , 1997, IEEE Trans. Autom. Control..

[50]  Hong Wang,et al.  Robust and optimal fuzzy control: A linear matrix inequality approach , 1999 .

[51]  Jing Li,et al.  Robust tracking for high-rise/high-speed elevators , 1998, Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207).

[52]  M. Tomizuka,et al.  Stability of fuzzy linguistic control systems , 1990, 29th IEEE Conference on Decision and Control.

[53]  Kazuo Tanaka,et al.  Dynamic parallel distributed compensation for Takagi-Sugeno fuzzy systems: An LMI approach , 2000, Inf. Sci..

[54]  R. H. Cannon,et al.  Dynamics of Physical Systems , 1967 .

[55]  Kazuo Tanaka,et al.  An approach to fuzzy control of nonlinear systems: stability and design issues , 1996, IEEE Trans. Fuzzy Syst..

[56]  N. W. Rees,et al.  Fuzzy control of nonlinear continuous-time systems , 1996, Proceedings of 35th IEEE Conference on Decision and Control.