非線形ディスクリプタシステムのモデル追従形制御系の設計

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  • A Design of Model Following Control System for Nonlinear Descriptor System
  • ヒセンケイ ディスクリプタ システム ノ モデル ツイジュウケイ セイギョケイ ノ セッケイ

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The theory of descriptor system (DS) has been studied intensively in recent years, but little attention was paid to study the model following control system (MFCS) for DS. In this paper, a design method of nonlinear model following control system with disturbances is proposed. This method can handle with differential and algebraic equations simultaneously. Consequently it is useful for nonlinear electric circuits and multi-linkage mechanism system and so on. As regular transformation is not used in control input design, the system structure and the physical properties of system variables can be preserved. The norm conditions of nonlinear part are necessary for proof of bound on inner states, but those conditions are not strong constraint because many practical nonlinear systems satisfy. In addition, the parameters of these norm con-straints are just for the purpose of proving the bound on inner states and have no influence on design of control system. The bound on inner states for the closed loop system can be proved with using the theory of poles and zeros of DS, characteristic of nonlinear function and positive real transfer function. Finally two numerical simulations with disturbances verify the availability of this method.

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