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Output-Feedback Controlled-Invariant Sets for Systems with Linear Parameter-Varying State Transition Matrix


A.B. Hempel, Andreas B. Kominek, Herbert Werner

Conference on Decision and Control (CDC), Orlando, USA, pp. 3422-3427

The notion of output-feedback controlled-invariant sets is extended from LTI systems to systems with linear parameter-varying state transition matrix. A theorem is presented that can be used to verify whether a given polytope can be made invariant under output-feedback. The theorem also provides the constraints a control input has to fulfill to make the candidate set invariant. Predictive output-feedback controllers based on such a set can satisfy hard constraints on both the plant state and the control inputs in the presence of process disturbances and measurement noise. Simulation results demonstrate the strength of such a controller that can guarantee constraints for a subset of the state space without requiring state information or estimation.


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% Autogenerated BibTeX entry
@InProceedings { HemKom:2011:IFA_3884,
    author={A.B. Hempel and Andreas B. Kominek and Herbert Werner},
    title={{Output-Feedback Controlled-Invariant Sets for Systems with
	  Linear Parameter-Varying State Transition Matrix}},
    booktitle={Conference on Decision and Control (CDC)},
    address={Orlando, USA},
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