Decoupling property of full Information H<inf>∞</inf> control and its application to mechanical systems

Abstract

In this paper, a limiting property of full information H <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</inf> control is discussed. Existence of a stabilizing solution to the control problem is shown, and limiting behaviors, i.e., disturbance attenuation property and decoupling property, of the closed-loop system are proposed. Moreover, the relationship with limiting properties of LQ control is also mentioned. To confirm effectiveness of the proposed limiting property of full information H <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</inf> control, the paper gives experimental results on decoupling control of a 2-link robot manipulator.