Design of stable closed loop systems with uncertainties and estimation of performance variations

A new approach is proposed to design the stable closed loop system with uncertainties to satisfy the predefined performance constraint. Performance constrained stabilization (PCS) of control systems is studied in this paper. The relationship between uncertainties and the performance of the system is established. When the uncertainties in the system satisfy certain conditions, our design method will provide a constant feedback gain to stabilize the system and meet the performance requirement. Two examples are given to illustrate the usefulness of the method.

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