Chang, Yeong-Chan Robust tracking control for nonlinear MIMO systems via fuzzy approaches. (English) Zbl 0967.93060 Automatica 36, No. 10, 1535-1545 (2000). A former approach of B.-S. Chen, T.-C. Lee and Y.-C. Chang [IEEE Trans. Fuzzy Systems 4, 32-43 (1996)] towards the treatment of nonlinear control problems by fuzzy control techniques is here extended to the multidimensional case. Starting from a system of differential equations which include some smooth nonlinearities in some coefficients, an approximating fuzzy control system is constructed. For it, sufficient conditions are given under which the fuzzy control strategy works in such a way that the tracking error remains within prescribed bounds. Reviewer: Siegfried Johannes Gottwald (Leipzig) Cited in 43 Documents MSC: 93C42 Fuzzy control/observation systems 93C35 Multivariable systems, multidimensional control systems 93C10 Nonlinear systems in control theory Keywords:fuzzy control; adaptive control; nonlinear control; tracking PDF BibTeX XML Cite \textit{Y.-C. Chang}, Automatica 36, No. 10, 1535--1545 (2000; Zbl 0967.93060) Full Text: DOI OpenURL References: [1] Başar, T.; Berhard, P., H∞-optimal control and related minimax problems, (1990), Birkhäuser Germany, Berlin [2] Chang, Y.C.; Chen, B.S., A nonlinear adaptive H∞ tracking control design in robotic systems via neural networks, IEEE transactions on control systems technology, 5, 13-29, (1997) [3] Chen, B.S.; Lee, C.H.; Chang, Y.C., H∞ tracking design of uncertain nonlinear SISO systems: adaptive fuzzy approach, IEEE transactions on fuzzy systems, 4, 32-43, (1996) [4] Horn, R.A.; Johnson, C.R., Matrix analysis, (1985), Cambridge University Press New York · Zbl 0576.15001 [5] Ioannou, P.A.; Sun, J., Robust adaptive control, (1996), Prentice-Hall Englewood Cliffs, NJ [6] Jankovic, M., Adaptive nonlinear output feedback tracking with a partial high-gain observer and backstepping, IEEE transactions on automatic control, 42, 106-113, (1997) · Zbl 0872.93043 [7] Johansen, T.A.; Ioannou, P.A., Robust adaptive control of minimum phase nonlinear systems, International journal of adaptive control and signal processing, 10, 61-78, (1996) · Zbl 0849.93037 [8] Karsenti, L.; Lamnabhi-Lagarrigue, F.; Bastin, G., Adaptive control of nonlinear systems with nonlinear parameterization, Systems and control letters, 27, 87-97, (1996) · Zbl 0875.93230 [9] Khalil, H.K., Adaptive output feedback control of nonlinear systems represented by input-output models, IEEE transactions on automatic control, 41, 177-188, (1996) · Zbl 0842.93033 [10] Krstić, M.; Kanellakopoulos, I.; Kokotović, P.V., Nonlinear and adaptive control design, (1995), Wiley New York · Zbl 0763.93043 [11] Marino, R.; Tomei, P., Global adaptive output-feedback control of nonlinear systems, part I: linear parameterization and part II: nonlinear parameterization, IEEE transactions on automatic control, 38, 17-49, (1993) · Zbl 0783.93032 [12] Spooner, J.T.; Passino, K.M., Stable adaptive control using fuzzy systems and neural networks, IEEE transactions on fuzzy systems, 4, 339-359, (1996) [13] Su, C.Y.; Stepanenko, Y., Adaptive control of a class of nonlinear systems with fuzzy logic, IEEE transactions on fuzzy systems, 2, 285-294, (1994) [14] Wang, L.X., Adaptive fuzzy systems and control: design and stability analysis, (1994), Prentice-Hall Englewood Cliffs, NJ This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.