<abstract xmlns="http://www.w3.org/1999/xhtml"> This paper examines the problem of designing a robust H∞ fuzzy controller with D-stability constraints for a class of nonlinear dynamic systems which is described by a Takagi-Sugeno (TS) fuzzy model. Fuzzy modelling is a multi-model approach in which simple sub-models are combined to determine the global behavior of the system. Based on a linear matrix inequality (LMI) approach, we develop a robust H∞ fuzzy controller that guarantees (i) the L2-gain of the mapping from the exogenous input noise to the regulated output to be less than some prescribed value, and (ii) the closed-loop poles of each local system to be within a specified stability region. Sufficient conditions for the controller are given in terms of LMIs. Finally, to show the effectiveness of the designed approach, an example is provided to illustrate the use of the proposed methodology.</abstract>

This paper examines the problem of designing a robust H∞ fuzzy controller with D-stability constraints for a class of nonlinear dynamic systems which is described by a Takagi-Sugeno (TS) fuzzy model. Fuzzy modelling is a multi-model approach in which simple sub-models are combined to determine the global behavior of the system. Based on a linear matrix inequality (LMI) approach, we develop a robust H∞ fuzzy controller that guarantees (i) the L2-gain of the mapping from the exogenous input noise to the regulated output to be less than some prescribed value, and (ii) the closed-loop poles of each local system to be within a specified stability region. Sufficient conditions for the controller are given in terms of LMIs. Finally, to show the effectiveness of the designed approach, an example is provided to illustrate the use of the proposed methodology.

Further results on robust fuzzy dynamic systems with LMI D-stability constraints

Department of Electronic and Telecommunication Engineering King Mongkut’s University of Technology Thonburi, 126 Prachautits Rd., Bangkok 10140, Thailand

International Journal of Applied Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Further results on robust fuzzy dynamic systems with LMI D-stability constraints"}

This paper examines the problem of designing a robust H∞ fuzzy controller with D-stability constraints for a class of nonlinear dynamic systems which is...

Further results on robust fuzzy dynamic systems with LMI D-stability constraints

Published Online: Dec 20, 2014

Page range: 785 - 794

Received: Mar 18, 2014

DOI: https://doi.org/10.2478/amcs-2014-0058

© by Wudhichai Assawinchaichote

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.