## 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:

Title | Input-output models for a class of nonlinear systems |

Publication Type | Conference Paper |

Year of Publication | 1997 |

Authors | Atassi, A.N., and Khalil H.K. |

Conference Name | Proceedings of the 36th IEEE Conference on Decision and Control, 1997. |

Date Published | 12/1997 |

Publisher | IEEE |

Conference Location | San Diego, CA |

ISBN Number | 0-7803-4187-2 |

Accession Number | 5863848 |

Keywords | nonlinear control systems |

Abstract | We investigate the possibility of having an input-output model that has a specific structure for multivariable input-output linearizable systems |

DOI | 10.1109/CDC.1997.657850 |