Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications
Online ISSN : 2188-4749
Print ISSN : 2188-4730
第41回ISCIE「確率システム理論と応用」国際シンポジウム(2009年11月, 神戸)
On Noncausal H Tracking Control for Linear Continuous-Time Markovian Jump Systems
Gou Nakura
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ジャーナル フリー

2010 年 2010 巻 p. 172-177

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In this paper we study the H tracking problems with preview for a class of linear continuous-time Markovian jump systems. The systems are described by the switching systems with Markovian mode transition. The necessary and sufficient conditions for the solvability of the H tracking problem are given by coupled Riccati differential equations with terminal conditions. Correspondingly feedforward compensators introducing future information are given by coupled differential equations with terminal conditions. In this paper we focus on the derivation method of preview compensator dynamics from the point of view of dynamics constraint. We derive the pair of coupled preview compensator dynamics and coupled Riccati differential equations by calculating the first variation of the performance index under the dynamics constraint.
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© 2010 ISCIE Symposium on Stochastic Systems Theory and Its Applications
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