Abstract
In this letter, we propose concepts of persistence and persistent control for uncertain dynamical systems. Motivated from their application to local controller design for expanding huge-scale systems, a problem of persistent control is formulated. A controller is designed such that for any arbitrarily large uncertainty the overall control system is stable. In addition, the performance of the overall system, measured by some norm, can be deteriorated for the large uncertainty, but is persistently prevented from being collapsed. Then, the control problem is solved via controller parametrization, and the characterization of the persistent controllers is given. Finally, a numerical example with some design guideline of the controller is illustrated.
Published Version
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