Linearization of the Multi-input Discrete-time Nonlinear Systems

다 입력 이산 비선형 시스템의 선형화

  • Kim, Jae-Hyun (School of Electrical and Electronics Engineering, Chung-Ang University) ;
  • Roh, Dong-Hwi (School of Electrical and Electronics Engineering, Chung-Ang University) ;
  • Park, Soon-Hyoung (School of Electrical and Electronics Engineering, Chung-Ang University) ;
  • Kim, Yong-Min (School of Electrical and Electronics Engineering, Chung-Ang University) ;
  • Lee, Hong-Gi (School of Electrical and Electronics Engineering, Chung-Ang University)
  • 김재현 (中央大學敎 電子電氣工學部) ;
  • 노동휘 (中央大學敎 電子電氣工學部) ;
  • 박순형 (中央大學敎 電子電氣工學部) ;
  • 김용민 (中央大學敎 電子電氣工學部) ;
  • 이홍기 (中央大學敎 電子電氣工學部)
  • Published : 2000.01.01

Abstract

In order to linearize the nonlinear systems, two different methods(i.e. state coordinate change and feedback) are usually used. In this paper, we consider the multi-input discrete-time nonlinear systems and obtain the necessary and sufficient conditions for both the linearization problem by state-coordinate change and the feedback linearization problem. The way of finding state coordinate change and state feedback which linearize the given system is also given in the proof.

비선형 시스템의 선형화 문제는 좌표변환만에 의한 것과 좌표변환과 상태 궤환에 의한 것 등 크게 두 가지로 나눌 수 있다. 본 논문에서는 다 입력 이산 비선형 시스템에 대하여 이 두 가지 문제에 대한 필요충분 조건을 얻는다. 또한, 선형화하는 좌표변환과 궤환을 구하는 방법을 증명과정에서 제시한다.

Keywords

References

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