An LMI Approach to H∞ Performance Analysis of Continuous-Time Systems with Two Additive TimeVarying Delays

Wrastawa Ridwan (School of Electrical Engineering and Informatics, Institute of Technology Bandung, Bandung, Indonesia * Permanent Address: Department of Electrical Engineering, Gorontalo State University, Jl. Jendral Sudirman no.6 Kota Gorontalo, Indonesia)
Bambang Riyanto Trilaksono (School of Electrical Engineering and Informatics, Institute of Technology Bandung, Bandung, Indonesia)

Journal of Engineering and Technological Sciences
Vol. 43 No. 2 (2011)

This paper investigates the problem of H∞ performance analysis for continous–time systems with two additive time -varying delays in the state. Our objective is focused on stability analysis of a continuous system with two timevarying delays with an H∞ disturbance attenuation level γ. By exploiting Lyapunov-Krasovski functional and introducing free weighting matrix variables, LMI stability condition have been derived.