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Design of H$\infty$ tracking control for linear systems with saturating actuators  

Yi Yearn-Gui (충북대학교 대학원 제어계측공학과)
Kim Myoung-Soon (충북대학교 대학원 제어계측공학과)
Kim Jin-Hoon (충북대학교 전기전자공학부)
Publication Information
The Transactions of the Korean Institute of Electrical Engineers D / v.54, no.4, 2005 , pp. 235-242 More about this Journal
Abstract
In this paper, we consider the H$\infty$ tracking control of linear system with a limited actuator capacity. The considered reference is a general time-varying one with bounded magnitude and rate. By adopting a similarity transform and a new sto variable, we convert the original system equation to new one which has a tracking error as a part of the new state variable. First, we obtain a result on the low-gained H$\infty$ tracking control which never permits the actuator saturation. Next, we give a result on scheduled H$\infty$ tracking control which uses the actuator capacity more effectively. All results are in the form of linear matrix inequalities(LMI) which can be easily checked their feasibility. Finally, we give a numerical example to show the validity and usefulness of our results.
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