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Input-Output Structure

In: Analysis and Design of Nonlinear Control Systems

Author

Listed:
  • Daizhan Cheng

    (Chinese Academy of Sciences, Academy of Mathematics & Systems Science)

  • Xiaoming Hu

    (Royal Institute of Technology, Optimization and Systems Theory)

  • Tielong Shen

    (Sophia University, Department of Engineering and Applied Sciences)

Abstract

This chapter considers the structure of an affine nonlinear systems from a viewpoint of the relation between inputs and outputs. Section 9.1 considers the relative degree and the decoupling matrix. Section 9.2 considers the Morgan’s problem, that is, the input-output decoupling problem. The invertibility of the input-output mapping is discussed in Section 9.3. Section 9.4 provides a dynamic solution to Morgan’s problem. In Section 9.5 the Byrnes-Isidori normal form of nonlinear control systems is introduced. In Section 9.6 a generalization of Byrnes-Isidori normal form is provided. Section 9.7 presents the Fliess functional expansion, which describes the input-output behavior of nonlinear control systems. In Section 9.8 the Fliess functional expansion has been used to missile guide control.

Suggested Citation

  • Daizhan Cheng & Xiaoming Hu & Tielong Shen, 2010. "Input-Output Structure," Springer Books, in: Analysis and Design of Nonlinear Control Systems, chapter 0, pages 237-278, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-11550-9_9
    DOI: 10.1007/978-3-642-11550-9_9
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