參考文獻 |
References
[1] T. Takagi and M. Sugeno, "Fuzzy identification of systems and its applications to modeling and control," IEEE Transactions on Systems Man and Cybernetics Part B-Cybernetics, vol. 15, pp. 116-132, 1985.
[2] K. Tanaka and M. Sugeno, "Stability analysis and design of fuzzy control system," Fuzzy Sets and Systems, vol. 45, pp. 135-156, 1992.
[3] H. O. Wang, K. Tanaka, and M. F. Griffin, "An approach to fuzzy control of nonlinear systems: Stability and design issues," IEEE Transactions on Fuzzy Systems, vol. 4, pp. 14-23, 1996.
[4] K. Tanaka, T. Ikeda, and H. O. Wang, "Fuzzy regulators and fuzzy observers: Relaxed stability conditions and LMI-based designs," IEEE Transactions on Fuzzy Systems, vol. 6, pp. 250-265, 1998.
[5] K. Tanaka and H. O. Wang, Fuzzy Control System Design and Analysis: A Linear Matrix Inequality Approach. New York: Wiley, 2001.
[6] E. Kim and H. Lee, "New approaches to relaxed quadratic stability condition of fuzzy control systems," IEEE Transactions on Fuzzy Systems, vol. 8, pp. 523-534, 2000.
[7] X. D. Liu and Q. L. Zhang, "Approaches to quadratic stability conditions and H infinity control designs for T-S fuzzy systems," IEEE Transactions on Fuzzy Systems, vol. 11, pp. 830-839, 2003.
[8] M. C. M. Teixeira, E. Assuncao, and R. G. Avellar, "On relaxed LMI-based designs for fuzzy regulators and fuzzy observers," IEEE Transactions on Fuzzy Systems, vol. 11, pp. 613-623, 2003.
[9] C. H. Fang, Y. S. Liu, S. W. Kau, L. Hong, and C. H. Lee, "A new LMI-based approach to relaxed quadratic stabilization of T-S fuzzy control systems," IEEE Transactions on Fuzzy Systems, vol. 14, pp. 386-397, 2006.
[10] F. Delmotte, T. M. Guerra, and M. Ksantini, "Continuous Takagi-Sugeno's models: Reduction of the number of LMI conditions in various fuzzy control design technics," IEEE Transactions on Fuzzy Systems, vol. 15, pp. 426-438, 2007.
[11] A. Sala and C. Arino, "Asymptotically necessary and sufficient conditions for stability and performance in fuzzy control: Applications of Polya's theorem," Fuzzy Sets and Systems, vol. 158, pp. 2671-2686, 2007.
[12] V. F. Montagner, R. C. L. F. Oliveira, and P. L. D. Peres, "Convergent LMI Relaxations for Quadratic Stabilizability and H-infinity Control of Takagi-Sugeno Fuzzy Systems," IEEE Transactions on Fuzzy Systems, vol. 17, pp. 863-873, 2009.
[13] M. Johansson and A. Rantzer, "Computation of piecewise quadratic Lyapunov functions for hybrid systems," IEEE Transactions on Automatic Control, vol. 43, pp. 555-559, 1998.
[14] L. Xie, S. Shishkin, and M. Y. Fu, "Piecewise Lyapunov functions for robust stability of linear time-varying systems," Systems & Control Letters, vol. 31, pp. 165-171, 1997.
[15] W. J. Wang, Y. J. Chen, and C. H. Sun, "Relaxed stabilization criteria for discrete-time T-S fuzzy control systems based on a switching fuzzy model and piecewise Lyapunov function," IEEE Transactions on Systems Man and Cybernetics Part B-Cybernetics, vol. 37, pp. 551-559, 2007.
[16] Y. J. Chen, H. Ohtake, W. J. Wang, K. Tanaka, and H. O. Wang, "Relaxed stabilization criterion for T-S fuzzy systems by minimum-type piecewise Lyapunov function based switching fuzzy controller," IEEE Transactions on Fuzzy Systems, (Submitted).
[17] H. O. Wang, J. Li, D. Niemann, and K. Tanaka, "T-S fuzzy model with linear rule consequence and PDC controller: a universal framework for nonlinear control systems," in Proceedings of Fuzz-IEEE'2000, 2000, pp. 549-554.
[18] K. Tanaka, M. Iwasaki, and H. O. Wang, "Switching control of an R/C hovercraft: Stabilization and smooth switching," IEEE Transactions on Systems Man and Cybernetics Part B-Cybernetics, vol. 31, pp. 853-863, 2001.
[19] K. Tanaka, S. Hori, and H. O. Wang, "Multiobjective control of a vehicle with triple trailers," IEEE-ASME Transactions on Mechatronics, vol. 7, pp. 357-368, 2002.
[20] W. Li, K. Tanaka, and H. O. Wang, "Acrobatic control of a pendubot," IEEE Transactions on Fuzzy Systems, vol. 12, pp. 549-552, 2004.
[21] K. Tanaka, H. Ohtake, and H. O. Wang, "A practical design approach to stabilization of a 3-DOF RC helicopter," IEEE Transactions on Control Systems Technology, vol. 12, pp. 315-325, 2004.
[22] C. S. Tseng, B. S. Chen, and H. J. Uang, "Fuzzy tracking control design for nonlinear dynamic systems via T-S fuzzy model," IEEE Transactions on Fuzzy Systems, vol. 9, pp. 381-392, 2001.
[23] W. J. Chang and C. C. Sun, "Constrained fuzzy controller design of discrete Takagi-Sugeno fuzzy models," Fuzzy Sets and Systems, vol. 133, pp. 37-55, 2003.
[24] J. C. Lo and M. L. Lin, "Observer-based robust H-infinity control for fuzzy systems using two-step procedure," IEEE Transactions on Fuzzy Systems, vol. 12, pp. 350-359, 2004.
[25] P. Baranyi, "TP model transformation as a way to LMI-based controller design," IEEE Transactions on Industrial Electronics, vol. 51, pp. 387-400, 2004.
[26] H. K. Lam and L. D. Seneviratne, "BMI-based stability and performance design for fuzzy-model-based control systems subject to parameter uncertainties," IEEE Transactions on Systems Man and Cybernetics Part B-Cybernetics, vol. 37, pp. 502-514, 2007.
[27] L. Dai, Singular Control Systems. Berlin: Sptinger-Verlag, 1989.
[28] T. Taniguchi, K. Tanaka, and H. O. Wang, "Fuzzy descriptor systems and nonlinear model following control," IEEE Transactions on Fuzzy Systems, vol. 8, pp. 442-452, 2000.
[29] Y. J. Chen, W. J. Wang, and C. L. Chang, "Guaranteed-cost fuzzy controller design for a self-sustaining bicycle with practical constraints," Asian Journal of Control, vol. 13, pp. 1-14, 2011.
[30] Y. J. Chen, W. J. Wang, and C. L. Chang, "Guaranteed-Cost Control for an Overhead Crane with Practical Constraints: Fuzzy Descriptor System Approach," Engineering Applications of Artificial Intelligence, vol. 22, pp. 639-654, 2009.
[31] T. S. Hu, A. R. Teel, and L. Zaccarian, "Stability and performance for saturated systems via quadratic and nonquadratic Lyapunov functions," IEEE Transactions on Automatic Control, vol. 51, pp. 1770-1786, 2006.
[32] M. Johansson, A. Rantzer, and K. E. Arzen, "Piecewise quadratic stability of fuzzy systems," IEEE Transactions on Fuzzy Systems, vol. 7, pp. 713-722, 1999.
[33] L. Wang and G. Feng, "Piecewise H-infinity controller design of discrete time fuzzy systems," IEEE Transactions on Systems Man and Cybernetics Part B-Cybernetics, vol. 34, pp. 682-686, 2004.
[34] W. J. Wang and C. H. Sun, "Relaxed stability and stabilization conditions for a T-S fuzzy discrete system," Fuzzy Sets and Systems, vol. 156, pp. 208-225, 2005.
[35] K. Tanaka, T. Hori, and H. O. Wang, "A multiple Lyapunov function approach to stabilization of fuzzy control systems," IEEE Transactions on Fuzzy Systems, vol. 11, pp. 582-589, 2003.
[36] D. J. Choi and P. Park, "H-infinity state-feedback controller design for discrete-time fuzzy systems using fuzzy weighting-dependent Lyapunov functions," IEEE Transactions on Fuzzy Systems, vol. 11, pp. 271-278, 2003.
[37] W. J. Wang and C. H. Sun, "A relaxed stability criterion for T-S fuzzy discrete systems," IEEE Transactions on Systems Man and Cybernetics Part B-Cybernetics, vol. 34, pp. 2155-2158, 2004.
[38] T. M. Guerra and L. Vermeiren, "LMI-based relaxed nonquadratic stabilization conditions for nonlinear systems in the Takagi-Sugeno's form," Automatica, vol. 40, pp. 823-829, 2004.
[39] H. D. Tuan, P. Apkarian, T. Narikiyo, and Y. Yamamoto, "Parameterized linear matrix inequality techniques in fuzzy control system design," IEEE Transactions on Fuzzy Systems, vol. 9, pp. 324-332, 2001.
[40] D. J. Choi and P. G. Park, "Guaranteed cost controller design for discrete-time switching fuzzy systems," IEEE Transactions on Systems Man and Cybernetics Part B-Cybernetics, vol. 34, pp. 110-119, 2004.
[41] X. P. Guan and C. L. Chen, "Delay-dependent guaranteed cost control for T-S fuzzy systems with time delays," IEEE Transactions on Fuzzy Systems, vol. 12, pp. 236-249, 2004.
[42] E. K. Boukas, "Fuzzy guaranteed cost control for nonlinear system," in Annual Meeting of the North American Fuzzy Information Processing Society, 2006, pp. 279-283.
[43] H. G. Zhang, D. D. Yang, and T. Y. Chai, "Guaranteed cost networked control for T-S fuzzy systems with time delays," IEEE Transactions on Systems Man and Cybernetics Part C-Applications and Reviews, vol. 37, pp. 160-172, 2007.
[44] B. P. Ma, X. M. Zhu, and J. Sun, "Guaranteed cost control of uncertain T-S fuzzy descriptor systems," in Proceeding of the Fourth International Conference on Machine Learning and Cybernetics, 2005, pp. 742-746.
[45] W. K. Son, J. Y. Chio, and O. K. Kwon, "Robust control of feedback linearizable system with parameter uncertainty and input constraint," in Proceedings of the 40th SICE Annual Conference, 2001, pp. 407-411.
[46] C. F. Tong, H. Zhang, and Y. X. Sun, "Optimal control for a class of chaos synchronization with input constraint," in Proceeding of the 2006 American Control Conference, 2006, pp. 5282-5287.
[47] R. E. Klein, "Using Bicycles to teach system dynamics," IEEE Control Systems Magazine, vol. 9, pp. 4-8, 1989.
[48] Y. Tanaka and T. Murakami, "Self sustaining bicycle robot with steering controller," in The 8th IEEE International Workshop on Advanced Motion Control, 2004, pp. 193-197.
[49] K. Iuchi, H. Niki, and T. Murakami, "Attitude control of bicycle motion by steering angle and variable COG control," in 32nd Annual Conference of IEEE Industrial Electronics Society, 2005, pp. 2065-2070.
[50] J. J. Hamalainen, A. Marttinen, L. Baharova, and J. Virkkunen, "Optimal path planning for a trolley crane: Fast and smooth transfer of load," in IEE Proceedings-Control Theory and Applications, 1995, pp. 51-57.
[51] H. H. Lee, "Modeling and control of a three-dimensional overhead crane," Journal of Dynamic Systems Measurement and Control-Transactions of the ASME, vol. 120, pp. 471-476, 1998.
[52] A. N. Goritov and A. M. Korikov, "Optimality in robot design and control," Automation and Remote Control, vol. 62, pp. 1097-1103, 2001.
[53] Z. Piazzi and A. Visioli, "Optimal dynamic-inversion-based control of an overhead crane," in IEE Proceedings-Control Theory and Applications, 2002, pp. 405-411.
[54] D. S. Himanshu and N. Umashankar, "A Fuzzy Controller Design for an Autonomous Bicycle System," in 2006 IEEE International Conference on Engineering of Intelligent Systems, 2006.
[55] A. Benhidjeb and G. L. Gissinger, "Fuzzy Control of an Overhead Crane Performance Comparison with Classic Control," Control Engineering Practice, vol. 3, pp. 1687-1696, 1995.
[56] Y. C. Liang and K. K. Koh, "Concise anti-swing approach for fuzzy crane control," Electronics Letters, vol. 33, pp. 167-168, 1997.
[57] M. J. Nalley and M. B. Trabia, "Control of overhead cranes using a fuzzy logic controller," Journal of Intelligent & Fuzzy Systems, vol. 8, pp. 1-18, 2000.
[58] C. S. Li and C. Y. Lee, "Fuzzy motion control of an auto-warehousing crane system," IEEE Transactions on Industrial Electronics, vol. 48, pp. 983-994, 2001.
[59] S. K. Cho and H. H. Lee, "A fuzzy-logic antiswing controller for three-dimensional overhead cranes," ISA Transactions, vol. 41, pp. 235-243, 2002.
[60] C. Y. Chang, "Adaptive fuzzy controller of the overhead cranes with nonlinear disturbance," IEEE Transactions on Industrial Informatics, vol. 3, pp. 164-172, 2007.
[61] T. S. Hu, R. Goebel, A. R. Teel, and Z. L. Lin, "Conjugate Lyapunov functions for saturated linear systems," Automatica, vol. 41, pp. 1949-1956, 2005.
[62] R. Goebel, A. R. Teel, T. S. Hu, and Z. L. Lin, "Conjugate convex Lyapunov functions for dual linear differential inclusions," IEEE Transactions on Automatic Control, vol. 51, pp. 661-666, 2006.
[63] T. S. Hu, "Nonlinear control design for linear differential inclusions via convex hull of quadratics," Automatica, vol. 43, pp. 685-692, 2007.
[64] A. Hassibi, J. How, and S. Boyd, "A path-following method for solving BMI problems in control," in Proceeding of the 1999 American Control Conference, 1999, pp. 1385-1389.
[65] A. Graham, Kronecker Product and Matrix Calculus with Applications. New York: Wiley, 1981.
|