Proceedings of the KIEE Conference (대한전기학회:학술대회논문집)
- 1998.07b
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- Pages.569-571
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- 1998
Control of Chaotic Nonlinear Systems Using Radial Basis Function Networks
방사 기저 함수 회로망을 이용한 혼돈 비선형 시스템의 제어
- Kim, Keun-Bum (Dept. of Electrical Eng., Yonsei Univ.) ;
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Choi, Yoon-Ho
(Dept. of Electronic Eng., Kyonggi Univ.) ;
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Park, Jin-Bae
(Dept. of Electrical Eng., Yonsei Univ.)
- Published : 1998.07.20
Abstract
In this paper, a new method of conrolling chaotic nonlinear systems is proposed. Firstly, the dynamics of a chaotic nonlinear system is separated into a linear part and a nonlinear part. Secondly, the nonlinear part is approximated using a radial basis function network (RBFN) and canceled from the controlled system. Then, the resulting system has only the linear part added with very weak nonlinearity. Finally, a simple linear state feedback control law is designed for the linear part. In the meanwhile, a theorem justifying this concept is presented and proved. Comparing with the feedback linearization, the proposed method can be applied regardless of the functional form of the controlled dynamics. The proposed method is applied by simulation to the Duffing system and the Lorenz system and satisfactory results are obtained.
Keywords