# Feedback Linearization and Simultaneous Output Block Decoupling of Nonlinear Systems

• T. J. Tarn
• Daizhan Cheng
• Alberto Isidori
Chapter
Part of the Mathematics and Its Applications book series (MAIA, volume 29)

## Abstract

This paper presents an algorithm for feedback linearization and simultaneous output block decoupling of nonlinear systems. Under the assumption that the largest controllability distributions contained in $${K_i} = \mathop \cap \limits_{j \ne i}^k \ker (d{h^j}),\;i = 1...,k$$ are linearly independent, for a nonlinear system to be feedback linearized and output block decoupled it is necessary and sufficient that the algorithm is executable. This algorithm, is novel in the sense that there are no constraints on the number of inputs and the number of outputs of a system.

## Keywords

Nonlinear System Feedback Linearization Invariant Distribution Linear Controllable System Output Block
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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© D. Reidel Publishing Company 1986

## Authors and Affiliations

• T. J. Tarn
• 1
• Daizhan Cheng
• 2
• Alberto Isidori
• 3
1. 1.Department of Systems Science and MathemticsWashington UniversitySt. LouisUSA
2. 2.Institute of Systems ScienceAcademia SinicaBeijingChina
3. 3.Dipartmento di Informatics and SistemisticaUniverdita di Roma ‘La Sapienza’RomaItaly