<abstract xml:lang="en" xmlns="http://www.w3.org/1999/xhtml"><p>This paper examines the inverse control problem of nonlinear systems with stable dynamics using a fuzzy modeling approach. Indeed, based on the ability of fuzzy systems to approximate any nonlinear mapping, the nonlinear system is represented by a Takagi-Sugeno (<italic>TS</italic>) fuzzy system, which is then inverted for designing a fuzzy controller. As an application of the proposed inverse control methodology, two popular control structures, namely, feedback linearization and Nonlinear Internal Model Control (NIMC) are investigated. Moreover, the paper points out that, under some conditions, both of the control structures are equivalent and naturally implement a Smith predictor in the presence of time delays.</p></abstract>

This paper examines the inverse control problem of nonlinear systems with stable dynamics using a fuzzy modeling approach. Indeed, based on the ability of fuzzy systems to approximate any nonlinear mapping, the nonlinear system is represented by a Takagi-Sugeno (TS) fuzzy system, which is then inverted for designing a fuzzy controller. As an application of the proposed inverse control methodology, two popular control structures, namely, feedback linearization and Nonlinear Internal Model Control (NIMC) are investigated. Moreover, the paper points out that, under some conditions, both of the control structures are equivalent and naturally implement a Smith predictor in the presence of time delays.

Fuzzy Feedback Linearizing Controller and Its Equivalence With the Fuzzy Nonlinear Internal Model Control Structure

Laboratoire d'Informatique, Systèmes, Traitement de l'Information et de la Connaissance, Université de Savoie, B.P. 80439, 74944 Annecy le Vieux Cedex, France

International Journal of Applied Mathematics and Computer Science

This paper examines the inverse control problem of nonlinear systems with stable dynamics using a fuzzy modeling approach. Indeed, based on the ability of...

Fuzzy Feedback Linearizing Controller and Its Equivalence With the Fuzzy Nonlinear Internal Model Control Structure

Published Online: Jul 17, 2007

Page range: 233 - 248

DOI: https://doi.org/10.2478/v10006-007-0021-4

Keywords
fuzzy control, inverse control, feedback linearization, internal model control

This content is open access.

Fuzzy Feedback Linearizing Controller and Its Equivalence With the Fuzzy Nonlinear Internal Model Control Structure

Published Online: Jul 17, 2007

Page range: 233 - 248

DOI: https://doi.org/10.2478/v10006-007-0021-4

Keywordsfuzzy control, inverse control, feedback linearization, internal model control

This content is open access.

Keywords
fuzzy control, inverse control, feedback linearization, internal model control