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Feedback diagonal canonical form and its application to stabilization of nonlinear systems

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Abstract

This paper considers the problem of stabilization of a class of nonlinear systems, which are possibly of non-minimum phase. A new feedback-equivalent canonical form, called diagonal normal form, of linear control systems is proposed. Using it, the corresponding normal form of affine nonlinear control systems is obtained. Based on this new normal form and the design technique of center manifold, a new constructing method for stabilizing control is presented. Certain examples are included to demonstrate the design strategy of stabilizers.

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Authors and Affiliations

  1. Institute of Systems Science, Chinese Academy of Sciences, 100080, Beijing, China

    Cheng Daizhan, Hu Qingxi & Qin Huashu

Authors
  1. Cheng Daizhan
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  2. Hu Qingxi
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  3. Qin Huashu
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Correspondence to Cheng Daizhan.

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Cheng, D., Hu, Q. & Qin, H. Feedback diagonal canonical form and its application to stabilization of nonlinear systems. Sci China Ser F 48, 201–210 (2005). https://doi.org/10.1360/03ye0194

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  • DOI: https://doi.org/10.1360/03ye0194

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