A Design of Model Following Control System for Descriptor System with Disturbances

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  • 外乱を考慮したディスクリプタシステムに関するモデル追従形制御系の設計
  • ガイラン オ コウリョシタ ディスクリプタ システム ニ カンスル モデル ツ

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Abstract

In this paper, a design of model following control system for linear descriptor system with disturbances is proposed, which extends the state space approach to descriptor system. In the process of extension some constraints such as regular, impulse free, R-controllable and R-observable are set up and investigated. During the design of control input, the fact that the characteristic polynomial of descriptor system is generally no monic is taken into account. Both the physical structure of the system and the physical properties of system variables can be preserved because there is no necessary to make transformation of this system. Based on the theory on poles and zeros of descriptor system, a lemma to satisfy the proposed constraints in this paper is deduced, and the boundedness of inner states is proved with this lemma. The effectiveness of this method has verified by an example of an electrical circuit in which the description is a mixture of dynamic and static equation.

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