Abstract: In this work, the analysis of robust stability and design of robust H_∞ output feedback controllers for a class of Lur'e systems with both time-delays and parameter uncertainties were studied. A robust H_∞ output feedback controller based on Linear Matrix Inequalities (LMIs) was developed to guarantee the robust stability and H_∞ performance of the resultant closed-loop system. The presented design approach is based on the application of descriptor model transformation and Park’s inequality for the bounding of cross terms and is expected to be less conservative compared to reported design methods. Finally, illustrative examples are advanced to demonstrate the superiority of the obtained method.

Key words: Lur’e systems, Robust H_∞ control, Linear Matrix Inequality (LMI)

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