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Dynamic Feedback Linearization

In: Linearization of Nonlinear Control Systems

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  • Hong-Gi Lee

    (Chung-Ang University)

Abstract

In Chap. 4 , we have studied feedback linearizationFeedback linearization of the following affine nonlinear system: $${\dot{x}} = f(x)+\sum _{i=1}^{m} u_i g_i (x), \quad x \in {\mathbb R}^n $$ x ˙ = f ( x ) + ∑ i = 1 m u i g i ( x ) , x ∈ R n Some of the systems that cannot be linearized only by coordinate transformations can be linearized using feedbackFeedback in addition to coordinate transformations. This chapter shows that more nonlinear systems can be linearized using the more general dynamic feedbackDynamic feedback than the static feedback used in Chap. 4 . For example, consider system ( 4.80 ),which is not feedback linearizable, in Example 4.3.8 .

Suggested Citation

  • Hong-Gi Lee, 2022. "Dynamic Feedback Linearization," Springer Books, in: Linearization of Nonlinear Control Systems, chapter 0, pages 227-261, Springer.
    • Handle: RePEc:spr:sprchp:978-981-19-3643-2_6
    DOI: 10.1007/978-981-19-3643-2_6
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