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The Design of Multi-Objective $H_2/H_{\infty}$ Controllers for multiple linear Time-invariant models  

Cho, Do-Hyeoun (Dept. of Digital Electronics & Information, Inha Technical College)
Won, Young-Jin (Dept. of Electronics, Bucheon College)
Lee, Jong-Yong (Division of General Education, Kwangwoon Univ.)
Publication Information
Journal of the Institute of Electronics Engineers of Korea TE / v.42, no.3, 2005 , pp. 13-18 More about this Journal
Abstract
This paper presents a design of a multi-objective $H_2/H_{\infty}$ controller of an inverted pendulum with polytopic model by the stabilizing regulator and tracking performances. Multi-objective controllers are designed for polytopic models by the LMI design technique with convex algorithms. It is observed that the inverted pendulum controlled by any controller designed for each polytopic model is stably restored to the vertical angle position for initial values of larger tilt angles.
Keywords
$H_2/H_{\infty}$ control; multi-objective control; polytopic model; inverted pendulum;
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