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IEEE Transactions on Automatic Control, Vol.54, No.11, 2719-2725, 2009
Validating Controllers for Internal Stability Utilizing Closed-Loop Data
We introduce novel tests utilizing a limited amount of experimental and possibly noisy data obtained with an existing known stabilizing controller connected to an unknown plant for verifying that the introduction of a proposed new controller will stabilize the plant. The tests depend on the assumption that the unknown plant is stabilized by a known controller and that some knowledge of the closed-loop system, such as noisy frequency response data, is available and on the basis of that knowledge, the use of a new controller appears attractive. The desirability of doing this arises in iterative identification and control algorithms, multiple-model adaptive control, and multi-controller adaptive switching. The proposed tests can be used for SISO and/or MIMO linear time-invariant systems.
Keywords:Iterative identification and control;multicontroller adaptive switching;multiple model adaptive control;robust control