IEEE Transactions on Automatic Control · 2003 · 121 citations · 27 references
EngineeringSystems EngineeringDynamical SystemsSystem DynamicsSystems ModelingControl Of Dynamical SystemsControl System DesignControl SystemsControl TheoryController DesignFeedback ControlAffine SubspacesInvariant SubspacesLinear State-space SystemsLinear Time-invariant SystemsObserver DesignState Feedback ControlState Observer DesignState-space Control
The aim of this paper is to extend the notion of invariant subspaces known in the geometric control theory of the linear time invariant systems to the linear parameter-varying (LPV) systems by introducing the concept of parameter-varying invariant subspaces. For LPV systems affine in their parameters, algorithms are given to compute many parameter varying subspaces relevant in the solution of state feedback and observer design problems.
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