Parametric absolute stabilization for interconnected Lurie time-delay systems with polytopic uncertainty. (Parametric absolute stabilization for interconnected Lur’e time-delay systems with polytopic uncertainty.) (English) Zbl 1286.93150
Summary: The paper considers the parametric absolute stabilization for interconnected Lur’e time-delay systems with polytopic uncertainty. The concept of parametric absolute stabilization characterizes both the existence and the stability of equilibrium in the case of uncertain parameters and reference input shift. First, the existing conditions of parametric stability and the stable region are studied by the change of the uncertain parameters and reference input based on decentralized state feedback. Then, a delay-dependent absolute stability condition in parametric stabilization region for interconnected Lur’e time-delay systems with polytopic uncertainties is obtained through a linear matrix inequality method. Finally, an example is given to illustrate the effectiveness of the proposed method.
MSC:
| 93D21 | Adaptive or robust stabilization |
| 93A15 | Large-scale systems |
| 93C15 | Control/observation systems governed by ordinary differential equations |
| 93C41 | Control/observation systems with incomplete information |
Keywords:
interconnected Lur’e systems; time-delay; polytopic uncertainty; parametric absolute stabilization; linear matrix inequalityReferences:
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