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IMA Journal of Mathematical Control and Information 1997 14(3):307-318; doi:10.1093/imamci/14.3.307
© 1997 by Institute of Mathematics and its Applications
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Tracking control for nonlinear affine systems

X. J. LI, K. L. TEO and W. Q. LIU

Department of Mathematics, Fudan University Shanghai, 200433, China
Department of Mathematics, The University of Western Australia Nedlands, W.A. 6907, Australia

In this paper, we consider a class of tracking problems involving nonlinear affine systems. We first established a result on global asymptotic stability for a class of nonlinear affine systems. Then, the tracking problem under consideration is converted into a nonlinear optimal-regulator problem by introducing an appropriate cost function. On this basis, the result on global asymptotic stability is used to obtain a globally asymptotically stable feedback controller for the tracking problem. For illustration, two examples are solved using the proposed method.


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