The Design of a Robust Linear Time-invariant Feedback Compensator Guaranteeing Uniform Ultimate Boundedness for Uncertain Multivariable Systems

Uniform ultimate boundedness를 보장하는 선형 시블변 되먹임 보상기 설계

In this paper, we propose a robust linear time-invariant feedback compensator design methodology for multivariable system which have both matched and mismatched uncertainties. In order to attack the problem of designing robust compensators guaranteeing uniform ultimate boundedness of every closed-loop system response within an arbitrarily small ball centered at the zero state based solely on the knowledge of the upper norm-bounds of uncertainties, we use an approach based upon the comparison theorem which is an effective approach in studying augmented feedback control systems with both mismatched and matched uncertainties. Through the approach, we draw some sufficient conditions for robust stability, and we give a simple example.