### Abstract

The emerging field of nonlinear control theory has attempted to alleviate the problem associated with applying linear control theory to nonlinear problems. A segment of nonlinear control theory, called exact feedback linearization, has proven useful in a class of problems satisfying certain controllability and integrability constraints. Approximate feedback linearization has enlarged this class by weakening the integrability conditions, but application of both these techniques remains limited to problems in which a series of linear partial differential equations can easily be solved. By use of the idea of normal forms, from dynamical systems theory, an efficient method of obtaining the necessary coordinate transformation and nonlinear feedback rules is given. This method, which involves the solution of a set of linear algebraic equations, is valid for any dimensional system and any order nonlinearity provided it meets the approximate feedback linearization conditions.

Original language | English (US) |
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Pages | 21-33 |

Number of pages | 13 |

State | Published - Dec 1 1994 |

Event | Proceedings of the 1994 International Mechanical Engineering Congress and Exposition - Chicago, IL, USA Duration: Nov 6 1994 → Nov 11 1994 |

### Other

Other | Proceedings of the 1994 International Mechanical Engineering Congress and Exposition |
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City | Chicago, IL, USA |

Period | 11/6/94 → 11/11/94 |

### Fingerprint

### ASJC Scopus subject areas

- Software
- Mechanical Engineering

### Cite this

*Systematic normal form approach to feedback linearize a class of nonlinear systems*. 21-33. Paper presented at Proceedings of the 1994 International Mechanical Engineering Congress and Exposition, Chicago, IL, USA, .

**Systematic normal form approach to feedback linearize a class of nonlinear systems.** / Talwar, S.; Namachchivaya, N Sri; Voulgaris, P.

Research output: Contribution to conference › Paper

}

TY - CONF

T1 - Systematic normal form approach to feedback linearize a class of nonlinear systems

AU - Talwar, S.

AU - Namachchivaya, N Sri

AU - Voulgaris, P.

PY - 1994/12/1

Y1 - 1994/12/1

N2 - The emerging field of nonlinear control theory has attempted to alleviate the problem associated with applying linear control theory to nonlinear problems. A segment of nonlinear control theory, called exact feedback linearization, has proven useful in a class of problems satisfying certain controllability and integrability constraints. Approximate feedback linearization has enlarged this class by weakening the integrability conditions, but application of both these techniques remains limited to problems in which a series of linear partial differential equations can easily be solved. By use of the idea of normal forms, from dynamical systems theory, an efficient method of obtaining the necessary coordinate transformation and nonlinear feedback rules is given. This method, which involves the solution of a set of linear algebraic equations, is valid for any dimensional system and any order nonlinearity provided it meets the approximate feedback linearization conditions.

AB - The emerging field of nonlinear control theory has attempted to alleviate the problem associated with applying linear control theory to nonlinear problems. A segment of nonlinear control theory, called exact feedback linearization, has proven useful in a class of problems satisfying certain controllability and integrability constraints. Approximate feedback linearization has enlarged this class by weakening the integrability conditions, but application of both these techniques remains limited to problems in which a series of linear partial differential equations can easily be solved. By use of the idea of normal forms, from dynamical systems theory, an efficient method of obtaining the necessary coordinate transformation and nonlinear feedback rules is given. This method, which involves the solution of a set of linear algebraic equations, is valid for any dimensional system and any order nonlinearity provided it meets the approximate feedback linearization conditions.

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M3 - Paper

AN - SCOPUS:0028753265

SP - 21

EP - 33

ER -