In this paper we propose the singular structure preserving model reduction for SISO(singleinput/single-output) descriptor systems. A continuous-time descriptor system is decomposed into the slow system and the fast system, and then the fast system is projected into a discrete-time system with controllability and observability matrices the same as those of the original fast system. As a result, we found the respective solutions of H 2 and H ∞ model reduction problems for the singular system using corresponding linear matrix inequalities. Especially frequency weighted H ∞ model reduction and mixed H 2 and H ∞ model reduction are suggested as giving better frequency characteristics. The validity of the proposed method is shown by a numerical example.
This paper deals with an anti-sway control for a ship-mounted container crane which is disturbed by the wave-induced motions of the ship. We derive a simple dynamics of the ship-mounted container crane with an active anti-sway control system and transform it into a dynamic function for a horizontal variable on the absolute coordinate. Then we propose an control method to reduce pendulation of the spreader and compare its performance with well-known feedback linearization control in computer simulation.
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