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| The Design of Decentralized Robust $H_\infty$ Controller for a Class of Uncertain Singular Large-scale System with Time-delay |
| Xiaoxin Han, Songlin Wo |
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Abstract The decentralized robust $H_{\infty}$ controller design problem is
considered for a class of interconnected singular large-scale system
with time-delay and norm-bounded time-invariant parameter
uncertainties. The problem we address is to design a decentralized
robust $H_{\infty}$ state feedback controller such that the
closed-loop system is admissible while satisfying a prescribed
$H_{\infty}$ norm bound for all admissible uncertainties. A
sufficient condition for the existence of the decentralized robust
$H_{\infty}$ state feedback controller is proposed via Linear Matrix
Inequality (LMI) approach. When this condition is feasible, the
desired state feedback decentralized robust $H_{\infty}$ controller
gain matrices can be obtained. Finally, an illustrative example is
provided to demonstrate the effectiveness of the proposed approach.
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