Abstract
An integrated approach is proposed to modeling and control of lightly damped systems such as flexible structures using frequency loop shaping in /spl Lscr//sub /spl infin//. Normalized coprime factors of the shaped plant model are identified with quantification of the modeling error in /spl Lscr//sub /spl infin// norm. Feedback controllers are synthesized to stabilize the true but unknown plant albeit the nominal feedback system, consisting of the identified model and the feedback controller, may not be stable. A complete design procedure is presented that integrates modeling and control in frequency domain. It is shown that as the /spl Lscr//sub /spl infin// norm of the modeling error measured in normalized coprime factors of the system is reduced, the existence of stabilizing feedback controllers for the true unknown plant is ensured.
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