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http://dx.doi.org/10.5573/ieie.2015.52.12.089

Robust and Non-fragile H∞ Controller Design Algorithm for Time-delayed System with Randomly Occurring Uncertainties and Disturbances )  

Yang, Seung Hyeop (School of Electronics Engineering, the College of IT Engineering, Kyungpook National University)
Paik, Seung Hyun (School of Electronics Engineering, the College of IT Engineering, Kyungpook National University)
Lee, Jun Yeong (School of Electronics Engineering, the College of IT Engineering, Kyungpook National University)
Park, Hong Bae (School of Electronics Engineering, the College of IT Engineering, Kyungpook National University)
Publication Information
Journal of the Institute of Electronics and Information Engineers / v.52, no.12, 2015 , pp. 89-98 More about this Journal
Abstract
This paper provides a robust and non-fragile $H_{\infty}$ controller design algorithm for time-delayed systems with randomly occurring polytopic uncertainties and disturbances. First, we design time-delayed system considering randomly occurring uncertainties and disturbances. Next, The sufficient condition for the existence of robust and non-fragile $H_{\infty}$ controller is presented by LMI(linear matrix inequality) using Lyapunov stability analysis and $H_{\infty}$ performance measure. Since the obtained condition can be expressed as a PLMI(parameterized linear matrix inequality) by changes of variables and Schur complement, all solutions including controller gain, degrees of controller satisfying non-fragility, $H_{\infty}$ norm bound ${\gamma}$ can be calculated simultaneously. Finally, numerical examples are given to illustrate the performance and the effectiveness of the proposed robust and non-fragile $H_{\infty}$ controller compared with the deterministic uncertainty model even though there exists randomly occurring uncertainties, disturbances and time delays.
Keywords
Robust control; non-fragile; $H_{\infty}$; randomly occurring; time-delay;
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Times Cited By KSCI : 2  (Citation Analysis)
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