On Computing the Worst-case H∞ Performance of Lur'e Systems with Uncertain Time-invariant Delays

  • Thapana Nampradit Chulalongkorn University
  • David Banjerdpongchai Chulalongkorn University
Keywords: Worst-case H∞ performance, Lur'e systems, time-invariant delay, Lyapunov-Krasovskii functional, linear matrix inequality (LMI)

Abstract

This paper presents a worst-case H performance analysis for Lur'e systems with time-invariant delays. The sucient condition to guarantee an upper bound of worst-case performance is developed based on the delay-partitioning Lyapunov-Krasovskii functional containing the integral of sector-bounded nonlinearities. Using Jensen inequality and S-procedure, the delay-dependent criterion is given in terms of linear matrix inequalities. In addition, we extend the criterion to compute the worst-case performance for Lur'e systems subject to norm-bounded uncertainties by using a matrix eliminating lemma. Numerical results show that our criterion provide the least upper bound on the worst-case H performance comparing to the criteria derived based on existing techniques.

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Author Biographies

Thapana Nampradit

Department of Electrical Engineering, Faculty of Engineering, Chulalongkorn University, 254 Phayathai Road, Pathumwan, Bangkok 10330, Thailand

David Banjerdpongchai

Department of Electrical Engineering, Faculty of Engineering, Chulalongkorn University, 254 Phayathai Road, Pathumwan, Bangkok 10330, Thailand

Published In
Vol 19 No 5, Oct 31, 2015
How to Cite
[1]
T. Nampradit and D. Banjerdpongchai, “On Computing the Worst-case H∞ Performance of Lur’e Systems with Uncertain Time-invariant Delays”, Eng. J., vol. 19, no. 5, pp. 101-120, Oct. 2015.