Adaptive Gain-Scheduled H∞ Control of Linear Parameter-Varying Systems with Time-Delayed Elements
نویسنده
چکیده
This paper concerns with a new class of adaptive gain-scheduled H∞ control of linear parametervarying (LPV) systems with time-delayed elements. The plants in this manuscript are assumed to be polytopic LPV systems which have time-delayed components, but the scheduled parameters and time-delayed elements in those plants are not known a priori, and thus, the conventional gain-scheduled control strategy cannot be applied. In the proposed adaptive schemes, the estimates of the scheduled parameters are obtained successively, and the current estimates are fed to the gain-scheduled controllers to stabilize the plants and to attain H∞ control performance adaptively. Also, the control gain to compensate the effect of time-delayed elements, is tuned recursively. Stability analysis of the adaptive control systems is carried out by utilizing LyapunovKrasovskii functions based on linear matrix inequalities in the bounded real lemma.
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