Transformation of a nonlinear system into an augmented linear system |
| |
Authors: | Takata H |
| |
Affiliation: | Kyushu Institute of Technology, Tobata, Kitakyushu, Japan; |
| |
Abstract: | This paper presents a method of formal linearization by augmenting state variables for nonlinear systems. Introducing a sequence of linearly independent functions and regarding each of them as a new state variable, the original nonlinear system is transformed into an augmented linear system. Based on this linearization, the paper also derives an observer and a suboptimal controller for nonlinear systems. The examples indicate that the linearization has excellent characteristics and greatly improves the performances. |
| |
Keywords: | |
|
|