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

Title & Authors
Robust and Non-fragile H Controller Design Algorithm for Time-delayed System with Randomly Occurring Uncertainties and Disturbances )
Yang, Seung Hyeop; Paik, Seung Hyun; Lee, Jun Yeong; Park, Hong Bae;

Abstract
This paper provides a robust and non-fragile $\small{H_{\infty}}$ 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 $\small{H_{\infty}}$ controller is presented by LMI(linear matrix inequality) using Lyapunov stability analysis and $\small{H_{\infty}}$ 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, $\small{H_{\infty}}$ norm bound $\small{{\gamma}}$ can be calculated simultaneously. Finally, numerical examples are given to illustrate the performance and the effectiveness of the proposed robust and non-fragile $\small{H_{\infty}}$ controller compared with the deterministic uncertainty model even though there exists randomly occurring uncertainties, disturbances and time delays.
Keywords
Robust control;non-fragile;$\small{H_{\infty}}$;randomly occurring;time-delay;
Language
Korean
Cited by
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