Technical Notes and Correspondence
International Journal of Control, Automation and Systems 2014; 12(3): 703-708
Published online May 10, 2014
https://doi.org/10.1007/s12555-013-0427-8
© The International Journal of Control, Automation, and Systems
Static Output Feedback Control for Continuous-time T-S Fuzzy Systems: An LMI Approach
This paper presents a design method of static output feedback control for continuous-time T-S fuzzy systems. Based on parallel distributed compensation (PDC), a static output feedback control is utilized. A new sufficient condition for the existence of static output feedback gains is represented in terms of linear matrix inequalities (LMIs). The sufficient condition does not need any transformation matrices, equality constraints, and block diagonal assumption of positive definite matrices in order to convert a bilinear matrix inequality (BMI) problem to an LMI one.
Keywords LMI, nonlinear systems, static output feedback, T-S fuzzy systems.
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Technical Notes and Correspondence
International Journal of Control, Automation and Systems 2014; 12(3): 703-708
Published online June 1, 2014 https://doi.org/10.1007/s12555-013-0427-8
Copyright © The International Journal of Control, Automation, and Systems.
Static Output Feedback Control for Continuous-time T-S Fuzzy Systems: An LMI Approach
Eun Tae Jeung* and Kap Rai Lee
Changwon National University
Abstract
This paper presents a design method of static output feedback control for continuous-time T-S fuzzy systems. Based on parallel distributed compensation (PDC), a static output feedback control is utilized. A new sufficient condition for the existence of static output feedback gains is represented in terms of linear matrix inequalities (LMIs). The sufficient condition does not need any transformation matrices, equality constraints, and block diagonal assumption of positive definite matrices in order to convert a bilinear matrix inequality (BMI) problem to an LMI one.
Keywords: LMI, nonlinear systems, static output feedback, T-S fuzzy systems.
Vol. 23, No. 3, pp. 683~972
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