Parametrization of decentralized output feedback controllers and robust stabilization of large scale jump systems
| Authors: | Pakshin Pavel, Nizhny Novgorod State Technical University, Arzamas, Russian Federation
Mitrofanov Igor, Nizhny Novgorod State Technical University, Arzamas, Russian Federation |
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| Topic: | 2.1 Control Design |
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| Session: | Hybrid and Switched Control |
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| Keywords: | Large scale systems, jump process, robust stability, decentralized control, robust control, output feedback |
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Abstract
The paper considers a class of large scale control systems described by a finite set of linear systems with transitions between them determined by a homogeneous Markov chain. Each individual system of this family describes the plant state variable in the corresponding mode and is composed of a set ofinterconnected subsystems. At the moment of a discontinuous mode change the plant state vector can be changed by jump. A parametrization of linear decentralized output feedback controllers that stabilize a given system of this class in the mean square is presented. A sufficient conditions for an output feedback controller to be robust stabilizing against the mode change parameter uncertainty are obtained. These conditions along with the parametrization result lead to an LMI-based algorithm for computation of gain matrix of robust stabilizing output feedback control. An example is given.
