A smooth nonlinear system (1)

Model description: 

The system

$$\begin{align*} \dot{x}_1 & = x_2 \\ \dot{x}_2 & = x_3^2 + x_4 + u_1 + au_2 \\ \dot{x}_3 & = x_4 + bu_1 + u_2 \\ \dot{x}_4 & = -x_4 \\ y_1 &= x_1 \\ y_2 &=x_3 \end{align*}$$

with $ab \neq 1$, has a well-defined vector relative degree (2, 1) and a nonsingular decoupling matrix $\begin{bmatrix} 1 & a \\ b & 1 \end{bmatrix}$.

Type: 

Form: 

Model order: 

4

Time domain: 

Linearity: 

Publication details: 

TitleInput-output models for a class of nonlinear systems
Publication TypeConference Paper
AuthorsAtassi, A.N., and Khalil H.K.