Información del artículo
Resumen
En este trabajo se revisa el estado del arte sobre estabilidad de sistemas borrosos, poniéndose de manifiesto las dificultades para su análisis, debido a la característica falta de linealidad de los mismos. Se revisan los estudios basados en el criterio del círculo, las técnicas para calcular Índices de estabilidad, así como técnicas basadas en aplicación del teorema de estabilidad de Lyapunov, que permite utilizar métodos númericos de búsqueda de soluciones. Además, se revisan los trabajos de estabilidad mediante el uso del modelo borroso de Takagi-Sugeno (T-S), el enfoque de las Desigualdades Matriciales Lineales (LMI), que ha tenido un interés creciente en los últimos años, así como otra línea de investigación basada en estabilidad energética.
Palabras clave:
Sistemas borrosos
Estabilidad global y asintótica
Modelo borroso afín de Takagi-Sugeno
El Texto completo está disponible en PDF
Referencias
[Akar and Özgüner, 2000]
M. Akar, Ü. Ózgüner.
Decentralized techniques for the analysis and control of Takagi-sugeno fuzzy systems.
IEEE Trans. Fuzzy Syst., 8 (2000), pp. 691-704
[Al-Hadithi, 2002]
B.M. Al-Hadithi.
Global Stability Analysis and Design of Fuzzy Control Systerns.
Universidad Politécnica de Madrid, (2002),
[Al-Hadithi et al., 2002]
B.M. Al-Hadithi, F. Matía, A. Jiménez.
Global stability of fuzzy systems based variable structure control.
NAFIPS-FLINT 2002, the North American Fuzzy Information Processing Society, Louisiana, (2002),
[Aracil et al., 1993]
Aracil J., A. Garcia-Cerezo, A. Barreiro and A. Ollero (1993). Stability analysis of fuzzy control systerns based on the conicity criterion. in: R. Lowen Ed., Fuzzy Logic: State of the Arl. Series System Theory, Knowledge Engineering and Problem Solving (Norwell, MA: Kluwer Academic Publisher, Dordrecht), No.1, pages 487-496.
[Aracil et al., 1988]
Aracil, J., A. Garcia-Cerezo and A. Ollero (1988). Stability analysis of fuzzy control systems-A geometric approach. in Artificial Intelligence, Expert Systems and languages in Modeling and Simulation, In: C. A. Kulikowski, R. M. Huber, and G. A. Ferraté, Eds. Amesterdam, The Netherlands: North-Holland, pages 323-330.
[Boyd et al., 1994]
S. Boyd, L. El Ghaoui, E. Feron, V. Balakrishnan.
Linear matrix inequalities in systems and control theory.
Studies in Applied Mathematics. SIAM, (1994),
[Braae and Rutherford, 1979]
M. Braae, D.A. Rutherford.
Theoretical and linguistic aspects of the fuzzy logic controller.
Automatica, 15 (1979), pp. 553-577
[Cao et al., 1996a]
S.G. Cao, N.W. Rees, G. Feng.
Analysis and design for a class of continuoustime fuzzy control systems.
Int. J. Contr, 64 (1996), pp. 1069-1089
[Cao et al., 1996b]
S.G. Cao, N.W. Rees, G. Feng.
Stability analysis of fuzzy control systems.
IEEE Transactions on Systerns, Man and Cybernetics 26-part B, l (1996), pp. 201-204
[Cao et al., 1997]
S.G. Cao, N.W. Rees, G. Feng.
Analysis and design for a class of complex control systems-part II: Fuzzy controller designo.
Automatica, 33 (1997), pp. 1029-1039
[Cao et al., 1999]
S.G. Cao, N.W. Rees, G. Feng.
Analysis and design of fuzzy control systems using dynamic fuzzy-state space models.
IEEE Transactions on Fuzzy Systerns, 7 (1999), pp. 192-200
[Castillo-Toledo and Meda-Campana, 2004]
B. Castillo-Toledo, J.A. Meda-Campana.
The fuzzy discrete-time robust regulation problem: An LMI approach.
IEEE Trans. Fuzzy Syst, 12 (2004), pp. 360-367
[Chang and Chen, 2005]
Y.C. Chang, B.S. Chen.
Intelligent robust tracking controls for holonomic and nonholonomic mechanical systems using only position measurements.
IEEE Trans. Fuzzy Syst, 13 (2005), pp. 491-507
[Chen et al., 2000]
B.S. Chen, C.S. Tseng, H.J. Uang.
Mixed H2 /H∞ fuzzy output feedback control design for non-linear dynamic systems: An LMI approach.
IEEE Trans. Fuzzy Syst, 8 (2000), pp. 249-265
[Chen et al., 2005a]
C.L. Chen, G. Feng, X.P. Guan.
Delay-dependent stability analysis and controller synthesis for discrete time TS fuzzy systems with time delays.
IEEE Trans. Fuzzy Syst, 13 (2005), pp. 630-643
[Chen et al., 2005b]
C.L. Chen, G. Feng, D. Sun, Y. Zhu.
H-infinity output feedback control of diseretetime fuzzy systems with application to chaos controL IEEE Trans.
Fuzzy Syst, 13 (2005), pp. 531-543
[Chen, 2001]
J.Y. Chen.
Rule regulation of fuzzy sliding mode controller design: Direct adaptive approach.
Fuzzy Sets Syst, 120 (2001), pp. 159-168
[Chen et al., 2005c]
S.S. Chen, Y.C. Chang, S.F. Su, S.L. Chung, T.T. Lee.
Robust static output-feedback stabilization for nonlinear discrete-time systems with time delay via fuzzy control approach. IEEE Trans.
Fuzzy Syst, 13 (2005), pp. 263-272
[Chen and Tsao, 1989]
Y.Y. Chen, T.C. Tsao.
A description of the dynamical behaviour of fuzzy systems.
IEEE Transactions on Systerns, Man and Cyberneties, 19 (1989), pp. 745-755
[Choi and Park, 2003]
D.J. Choi, P.G. Park.
H-infinity state-feedback controller design for diseretetime fuzzy systems using fuzzy weightingdependent lyapunov functions.
IEEE Trans. Fuzzy Syst, 11 (2003), pp. 271-278
[Chung et al., 1992]
S.K. Chung, J. Ryu, C.K. Park.
Stability analysis of fuzzy control system.
Proe. Korea-Japan Joint Conf. Fuzzy Syst, Eng., (1992),
[Cuesta et al., 1999]
F. Cuesta, F. Gordillo, J. Aracil, A. Ollero.
Stability analysis of nonlinear multivariable Takagi-sugeno fuzzy control systems.
IEEE Transactions on Fuzzy Systems, 7 (1999), pp. 508-520
[Feng, 2001]
G. Feng.
Approaches to quadratic stabilization of uncertain fuzzy dynamic systems.
IEEE Trans. Cireuits Syst., 148 (2001), pp. 760-769
[Feng, 2003]
G. Feng.
Controller synthesis of fuzzy dynamic systems based on piecewise lyapunov functions.
IEEE Trans. Fuzzy Syst., 11 (2003), pp. 605-612
[Feng, 2004a]
G. Feng.
H-infinity controller design of fuzzy dynamic systems based on piecewise lyapunov functions.
IEEE Trans. Syst., Man, Cybern., B., Cybern, 34 (2004), pp. 283-292
[Feng, 2004b]
G. Feng.
Stability analysis of discrete time fuzzy dynamic systems based on piecewise lyapunov functions.
IEEE Trans. Fuzzy Syst, 12 (2004), pp. 22-28
[Feng, 2005]
G. Feng.
Robust h-infinity ?Itering of fuzzy dynamic systems.
IEEE Trans. Aerospace Eleetron. Syst., 41 (2005), pp. 658-670
[Feng, 2006]
G. Feng.
A survey on analysis and design of model-based fuzzy control systems.
IEEE Trans. Fuzzy Syst., 14 (2006), pp. 676-697
[Feng and Sun, 2002]
G. Feng, D. Sun.
Generalized h2 controller synthesis of fuzzy dynamic systems based on piecewise lyapunov functions.
IEEE Trans. Cireuits Syst. I., 49 (2002), pp. 1843-1850
[Feng and Ma, 2001]
G. Feng, J. Ma.
Quadratic stabilization of uncertain discrete-time fuzzy dynamic systems.
IEEE Trans. Circuits Syst. I., 48 (2001), pp. 1337-1343
[Feng et al., 1997]
G. Feng, S.G. Cao, N.W. Rees, C.K. Chak.
Design of fuzzy control systems with guaranteed stability.
Fuzzy Sets and Systems, 85 (1997), pp. 1-10
[Feng and Harris, 2001a]
M. Feng, C.J. Harris.
Feedback stabilization of fuzzy systems via linear matrix inequalities.
Int. J. Syst. Sci., 32 (2001 a), pp. 221-231
[Feng and Harris, 2001b]
M. Feng, C.J. Harris.
Piecewise Iyapunov stability conditions of fuzzy systems.
IEEE Trans. Syst., Man, Cybern., B, Cybern., 31 (2001), pp. 259-262
[French and Rogers, 1998]
M. French, E. Rogers.
Input/output stabilitytheory for direct neuro-fuzzy controllers.
IEEE Trans. Fuzzy Syst., 6 (1998), pp. 331-345
[Gang and Laijiu, 1996]
J. Gang, C. Laijiu.
Linguistic stability analysis of fuzzy closed loop control systems.
Fuzzy Sets and Systems, 82 (1996), pp. 27-34
[Glas and De, 1984]
M. De. Glas.
invariance and stability of fuzzy systems.
J. Mathematical Analysis and Applications, 199 (1984), pp. 299-319
[Guerra and Vermeiren, 2004]
T.M. Guerra, L. Vermeiren.
LMI-based relaxed nonquadratic stabilization conditions for nonlinear systems in the Takagi-Sugeno formo.
Automatiea, 40 (2004), pp. 823-829
[Hojo et al., 1992]
T. Hojo, T. Terano, S. Masui.
Stability analysis of fuzzy control systems based on phase plane analysis.
J. Japan Soc. Fuzzy Theory Syst., 4 (1992), pp. 1133-1146
[Hong and Langari, 2000]
S.K. Hong, R. Langari.
An LMI-based h-infinity fuzzy control system design with ts framework.
Inform. Sci., 123 (2000), pp. 163-179
[Hsiao et al., 2005]
F.H. Hsiao, C.W. Chen, Y.W. Liang, S.D. Xu, W.L. Chiang.
TS fuzzy controllers for nonlinear interconnected systems with multiple time delays.
IEEE Trans. Circuits Syst. I., 52 (2005), pp. 1883-1893
[Huang and Lin, 2003]
S.J. Huang, W.C. Lin.
Adaptive fuzzy controller with sliding surface for vehicle suspension control.
IEEE Transactions on Fuzzy Systems, 11 (2003), pp. 550-559
[Hwang, 2004]
C.-L. Hwang.
A novel Takagi-sugenobased robust adaptive fuzzy sliding-mode controller.
IEEE Transactions on Fuzzy Systems, 12 (2004), pp. 676-687
[Hwang, and Lin, 2004]
C.-L Hwang, H.-Y. Lin.
A fuzzy decentralized variable structure tracking control with optimal and improved robustness designs: theory and applications.
IEEE Transactions on Fuzzy Systems, 12 (2004), pp. 615-630
[Ishikawa, 1988]
T. Ishikawa.
A study on fuzzy control of an arm robot. B. E. thesis, Dept. Contr. Eng..
Technol, (1988),
[Johansson and Rantzer, 1999]
M. Johansson, A. Rantzer, K.-E. Ârzén.
Piecewise quadratic stability for fuzzy systems.
IEEE Transactions on Fuzzy Systems, 7 (1999), pp. 713-722
[Kang et al., 1998]
H.-J. Kang, C. Kwon, H. Lee, M. Park.
Robust stability analysis and design method for the feedback linearization regulator.
IEEE Trans. Fuzzy Syst., 6 (1998), pp. 464-472
[Kawamoto et al., 1993]
S. Kawamoto, K. Tada, A. Ishigame, T. Taniguchi.
An extension of Tanaka-sugeno's stability theorem for fuzzy systems.
J. Japan Soco Fuzzy Theory Syst, 5 (1993), pp. 1190-1199
[Khartinov, 1979]
V.L. Khartinov.
Asymptotic stability of an equilibrium position of a family of systems of linear differential equations.
Differential Equations, 14 (1979), pp. 1483-1485
[Kickert and Mamdani, 1978]
W.J.M. Kickert, E.H. Mamdani.
Analysis of a fuzzy logic controller.
Ini. J. Fuzzy Sets and Systerns, 1 (1978), pp. 29-44
[Kim and Kim, 2001]
E. Kim, D. Kim.
Stability analysis and synthesis for an affine fuzzy system via LMI and ILMI: Discrete case.
IEEE Trans. Syst., Man, Cybern., B, Cybern., 31 (2001), pp. 132-140
[Kim and Kim, 2002]
E. Kim, S. Kim.
Stability analysis and synthesis for an affine fuzzy control system via LMI and ILMI: Continuous case.
IEEE Trans. Fuzzy Syst., 10 (2002), pp. 391-400
[Kim and Lee, 2005]
E. Kim, S. Lee.
Output feedback tracking control of mimo systems using a fuzzy disturbance observer and its application to the speed control of a pm synchronous motor.
IEEE Trans. Fuzzy Syst., 13 (2005), pp. 725-741
[Kiszka et al., 1985]
J.B. Kiszka, M.M. Gupta, P.Ñ. Nikiforuk.
Energetistic stability of fuzzy dynamic systems.
IEEE Transactions on Systerns, Man and Cybernetics SMC, 15 (1985), pp. 783-792
[Kitamura, 1991]
S. Kitamura.
A stability condition for fuzzy ruled control systems-an extension of circle criterion.
Trans. Soc. Instrum. Contr. Eng., 27 (1991), pp. 532-537
[Kosko, 1997]
B. Kosko.
Fuzzy Engineering.
Prentice Hall, (1997),
[Kung et al., 2005]
C.C. Kung, T.H. Chen, C.H. Chen.
H-infinity state feedback controller de sign for TS fuzzy systems based on piecewise lyapunov function.
in Proc. 14th, pp. 708-713
[Langari and Tomizuka, 1990]
G. Langari, M. Tomizuka.
Stability of fuzzy linguistic control systems.
Frac. 29th IEEE Conference on Decision and Control, Honolulu, HI, (1990),
[Leung et al., 2003]
F.H.F. Leung, P.K.S. Tam, H.K. Lam, Y.S. Lee.
Stable fuzzy controller design for uncertain nonlinear systems: Genetic algo rithm approach.
in Proc. 12th IEEE Int. Conf. Fuzzy Systems, St Louis, MO., (2003),
[Li and Lin, 2004]
T.H.S. Li, K.J. Lin.
Stabilization of singularly perturbed fuzzy systems.
IEEE Trans. Fuzzy Syst, 12 (2004), pp. 579-595
[Lian et al., 2001]
K.Y. Lian, C.S. Chiu, T.S. Chiang, P. Liu.
LMI-based fuzzy chaotic synchronization and communications.
IEEE Trans. Fuzzy Syst, 9 (2001), pp. 539-553
[Liu et al., 2005]
H.P. Liu, F.C. Sun, Z.Q. Sun.
Stability analysis and synthesis of fuzzy singularly perturbed systems.
IEEE Trans. Fuzzy Syst, 13 (2005), pp. 273-284
[Lo and Chen, 1999]
J.-C. Lo, Y.-M. Chen.
Stability issues on Takagi-sugeno fuzzy model-parametric approach.
IEEE Trans. Fuzzy Syst., 7 (1999), pp. 597-607
[Mamdani and Assilian, 1975]
E. Mamdani, S. Assilian.
An experiment in linguistic synthesis with a fuzzy logic controller.
Ini. J. Man-Machine Studies, 7 (1975), pp. 1-13
[Matía et al., 1999a]
F. Matía, B.M. Al-Hadithi, A. Jiménez.
Necessary and Sufficient Conditions for Stability of Dynamic Fuzzy Systems. Com putational Intelligence in Systems and Control Design and Applications, Spyros G.
Tzafestas, Kluwer Academic Publications Chapter 8, (1999), pp. 81-91
[Matía et al., 1999b]
F. Matía, B.M. Al-Hadithi, A. Jiménez.
On global stability of T-S general model.
Mathware and Soft Computing, VI (1999), pp. 293-304
[Matía et al., 2000]
F. Matía, B.M. Al-Hadithi, A. Jiménez.
Stability analysis of discrete fuzzy systems.
FUZZ-IEEE The 9th International Conference on Fuzzy System, pp. 961-964
[Matía et al., 2002]
F. Matía, B.M. Al-Hadithi, A. Jiménez.
Generalization of stability criterion for Tanaka-Sugeno continuous fuzzy model.
Fuzzy Sets and Systern, 129 (2002), pp. 295-309
[Matía et al., 2000a]
F. Matía, B.M. Al-Hadithi, A. JimIÍez.
Global stability of affine Takagi Sugeno fuzzy mode.
X Congreso Español sobre Tecnologías y Lógica Fuzzy, ESTYLF, Sevilla, (2000),
[Meda-Campana and Castillo-Toledo, 2005]
J.A. Meda-Campana, B. Castillo-Toledo.
On the output regulation for Takagi Sugeno fuzzy models using sliding modes.
in Proc. Amer. Control Conf., ORo, (2005),
[Ohtake et al., 2003]
H. Ohtake, K. Tanaka, H.O. Wang.
Piecewise nonlinear control.
in Proc. 42nd IEEE Conf. Decision and Control, Maui, HI., (2003),
[Ollero et al., 1995]
A. Ollero, J. Aracil, A. Garcia-Cerezo.
Robust design of rule-based fuzzy controllers.
Fuzzy Sets and Systerns, 70 (1995), pp. 249-273
[Opitz, 1993]
H.-P. Opitz.
Fuzzy control and stability criteria.
Proc. EUFIT’93, Aachen, (1993),
[Palm, 1994]
R. Palm.
Robust control by fuzzy sliding mode.
Automatica, 30 (1994), pp. 1429-1437
[Park and Kang., 2005]
C.-W. Park, H.-J. Kang.
Graphical and numerical approach to robust stability analysis of fuzzy modeled systems with parametric uncertainty and disturbance.
Fuzzy Sets Systems, 151 (2005), pp. 99-117
[Park et al., 2004]
Y.M. Park, M.J. Tahk, H.C. Bang.
Design and analysis of optimal controller for fuzzy systems with input constraint.
IEEE Trans. Fuzzy Syst, 12 (2004), pp. 766-779
[Rantzer and Johansson., 1997]
A. Rantzer, M. Johansson.
Piecewise linear quadratic optimal control.
Frac. American Control Conf., Albuquerque, NM, (1997),
[Ray et al., 1984]
K.S. Ray, A.M. Ghosh, D.D. Majumder.
L2-stability and the related design concept for SISO linear system associated with fuzzy logic controllers.
IEEE Transactions on Systems, Man and Cybernetics, 14 (1984), pp. 932-939
[Ray and Majumder., 1984]
K.S. Ray, D.D. Majumder.
Application of circle criterion for stability analysis of linear SISO and MIMO systems associated with fuzzy logic controller.
IEEE Transactions on Systerns, Man and Cybernetics SMC, 14 (1984), pp. 345-349
[Su et al., 2001]
J.P. Su, T.M. Chen, C.C. Wang.
Adaptive fuzzy sliding mode control with ga-based reaching laws.
Fuzzy Seis Syst., 120 (2001), pp. 145-158
[Sugeno, 1985]
M. Sugeno.
An introductory survey of fuzzy control.
Inform. Sci., 36 (1985), pp. 59-83
[Sugeno and Murakami., 1984]
M. Sugeno, K. Murakami.
Fuzzy parking control of model car.
Proc. 23rd IEEE Conf. Decision Contr. (CDC), pp. 902-903
[Takagi and Sugeno., 1985]
T. Takagi, M. Sugeno.
Fuzzy identification of systems and its applications to modeling and control.
IEEE Transactions an Systerns, Man and Cybernetics SMC, 15 (1985), pp. 116-132
[Tanaka and Wang., 2001]
K. Tanaka, H.O. Wang.
Fuzzy Control Systems Design and Analysis: A LMI Approach.
Wiley, (2001),
[Tanaka and Sano., 1994]
K. Tanaka, M. Sano.
A robust stabilization problem of fuzzy control systems and its application to backing up control of a truck-trailer.
IEEE Transactions an Fuzzy Systems, 2 (1994), pp. 119-134
[Tanaka and Sugeno., 1990]
K. Tanaka, M. Sugeno.
Stability analysis of fuzzy systems using Lyapunov's direct method.
Proc. North Amer. Fuzzy Ingorm. Processing Soco (NAFIPS), pp. 133-136
[Tanaka and Sugeno., 1992]
K. Tanaka, M. Sugeno.
Stability analysis and design of fuzzy control systems.
Fuzzy Sets and Systems, 12 (1992), pp. 135-156
[Tanaka et al., 2003]
K. Tanaka, T. Hori, H.O. Wang.
A multiple lyapunov function approach to stabilization of fuzzy control systems.
IEEE Trans. Fuzzy Syst, 11 (2003), pp. 582-589
[Taniguchi and Sugeno., 2004]
T. Taniguchi, M. Sugeno.
Stabilization of nonlinear systems based on piecewise lyapunov functions.
in Frac. 13th IEEE Int. Conf. on Fuzzy Systems, pp. 1607-1612
[Tao and Taur., 2005]
C.W. Tao, J.S. Taur.
Robust fuzzy control for a plant with fuzzy linear model.
IEEE Trans. Fuzzy Syst., 13 (2005), pp. 30-41
[Tao et al., 2004]
C.W. Tao, J.S. Taur, M.L. Chan.
Adaptive fuzzy terminal sliding mode controller for linear systems with mismatched time-varying uncertainties.
IEEE Trans. Syst., Man, Cybem., B, Cybem., 34 (2004), pp. 255-262
[Teixeira et al., 2003]
M.C.M. Teixeira, E. Assuncao, R.G. Avellar.
On relaxed LMlbased designs for fuzzy regulators and fuzzy observers.
IEEE Trans. Fuzzy Syst., 11 (2003), pp. 613-623
[Tian and Peng., 2006]
E. Tian, C. Peng.
Delay-dependent stability analysis and synthesis of uncertain T-S fuzzy systems with time-varying delay.
Fuzzy Sets Systems, 157 (2006), pp. 544-559
[Tong et al., 1980]
R.M. Tong, M.B. Beck, A. Latten.
Fuzzy control of the activated sludge wasteeater treatment process.
Autamatica, 16 (1980), pp. 695-701
[Tong and Li., 2003]
S.C Tong, H.X. Li.
Fuzzy adaptive sliding-mode control for mimo nonlinear systems.
IEEE Trans. Fuzzy Syst., 11 (2003), pp. 354-360
[Tuan et al., 2004]
H.D. Tuan, P. Apkarian, T. Ñarikiyo, M. Kanota.
New fuzzy control model and dynamic output feed back parallel distributed compensation.
IEEE Trans. Fuzzy Syst., 12 (2004), pp. 13-21
[Wang et al., 1996]
H.O. Wang, K. Tanaka, M.F. Griffm.
An approach to fuzzy control of nonlinear systems: Stability and design issues.
IEEE Transactions on Fuzzy Systems, 4 (1996), pp. 14-23
[Wang and Feng., 2004]
L. Wang, G. Feng.
Piecewise h-infinity controller design of discrete time fuzzy systems.
IEEE Trans. Syst., Man, Cybern., E, Cybern., 34 (2004), pp. 682-686
[Wang et al., 2003]
L. Wang, G. Feng, T. Hesketh.
Piecewise output feedback controller synthesis of discrete time fuzzy systems.
in Frac. IEEE Conf. Decision and Control, pp. 4741-4746
[Wang et al., 2004a]
L. Wang, G. Feng, T. Hesketh.
Piecewise generalized H2 controller synthesis of discrete time fuzzy systems.
in Frac. Inst. Elect. Eng, pp. 554-560
[Wang, 1997]
L.-X. Wang.
A course infuzzy systems and control..
Prentice Hall., (1997),
[Wang and Sun, 2005]
W.J. Wang, C.H. Sun.
Relaxed stability and stabilization conditions for a TS fuzzy diserete system.
Fuzzy Seis Syst., 156 (1997), pp. 208-225
[Wang and Luoh., 2004]
W.J. Wang, L. Luoh.
Stability and stabilization of fuzzy large scale systems.
IEEE Trans. Fuzzy Syst., 12 (2004), pp. 309-315
[Wang and Lin., 2005]
W.J. Wang, W.W. Lin.
Decentralized pdc for large-scale TS fuzzy systems.
IEEE Trans. Fuzzy Syst., 13 (2005), pp. 779-786
[Wang et al., 2004b]
Y. Wang, Z.Q. Sun, F.C. Sun.
Stability analysis and control of diserete-time fuzzy systems: A fuzzy Lyapunov function approach.
In: in Frac. 5th Asian Control Conj, pp. 1855-1860
[Xiu et al., 2005]
Xiu, Zhi-Hong, Ren. Guang.
Stability analysis and systematic design of TakagiSugeno fuzzy control systems.
Fuzzy Seis Systerns, 151 (2005), pp. 119-138
[Xu and Lam., 2005]
S.Y. Xu, J. Lam.
Robust hin?.nity control for uncertain discrete-timedelay fuzzy systems via output feedback controllers.
IEEE Trans. Fuzzy Syst., 13 (2005), pp. 82-93
[Yager and Filev., 1994]
R.R. Yager, D.P. Filev.
Essentials of Fuzzy Modeling and Control.
John Wiley, (1994),
[Zak, 1999]
S.H. Zak.
Stabilizing fuzzy systems mod els using linear controllers.
IEEE Transactions on Fuzzy Systems, 7 (1999), pp. 236-249
[Zhao et al., 1997]
J. Zhao, R. Gorez, V. Wertz.
Synthe sis 01 fuzzy control systerns based on linear Takagi-Sugeno fuzzy models.
Multiple Model Approaches to Nonlinear Modeling and Control,
[Zhou et al., 2005]
S.S. Zhou, G. Feng, J. Lam, S.Y. Xu.
Robust h-infinity control for discrete fuzzy systems via basis-dependent lyapunov functions.
Inform. Sci., 174 (2005), pp. 197-217