Dynamic Feedback Linearization

Hong-Gi Lee ()
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Hong-Gi Lee: Chung-Ang University

Chapter Chapter 6 in Linearization of Nonlinear Control Systems, 2022, pp 227-261 from Springer

Abstract: 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 .

Date: 2022
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DOI: 10.1007/978-981-19-3643-2_6

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