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Indirect Adaptive Fuzzy Control for a Class of Uncertain Nonlinear Systems with Unknown Control Direction

Indirect Adaptive Fuzzy Control for a Class of Uncertain Nonlinear Systems with Unknown Control Direction

Salim Labiod, Hamid Boubertakh, Thierry Marie Guerra
Copyright: © 2013 |Pages: 16
ISBN13: 9781466618701|ISBN10: 1466618701|EISBN13: 9781466618718
DOI: 10.4018/978-1-4666-1870-1.ch010
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MLA

Labiod, Salim, et al. "Indirect Adaptive Fuzzy Control for a Class of Uncertain Nonlinear Systems with Unknown Control Direction." Contemporary Theory and Pragmatic Approaches in Fuzzy Computing Utilization, edited by Toly Chen, IGI Global, 2013, pp. 139-154. https://doi.org/10.4018/978-1-4666-1870-1.ch010

APA

Labiod, S., Boubertakh, H., & Guerra, T. M. (2013). Indirect Adaptive Fuzzy Control for a Class of Uncertain Nonlinear Systems with Unknown Control Direction. In T. Chen (Ed.), Contemporary Theory and Pragmatic Approaches in Fuzzy Computing Utilization (pp. 139-154). IGI Global. https://doi.org/10.4018/978-1-4666-1870-1.ch010

Chicago

Labiod, Salim, Hamid Boubertakh, and Thierry Marie Guerra. "Indirect Adaptive Fuzzy Control for a Class of Uncertain Nonlinear Systems with Unknown Control Direction." In Contemporary Theory and Pragmatic Approaches in Fuzzy Computing Utilization, edited by Toly Chen, 139-154. Hershey, PA: IGI Global, 2013. https://doi.org/10.4018/978-1-4666-1870-1.ch010

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Abstract

In this paper, the authors propose two indirect adaptive fuzzy control schemes for a class of uncertain continuous-time single-input single-output (SISO) nonlinear dynamic systems with known and unknown control direction. Within these schemes, fuzzy systems are used to approximate unknown nonlinear functions and the Nussbaum gain technique is used to deal with the unknown control direction. This paper first presents a singularity-free indirect adaptive control algorithm for nonlinear systems with known control direction, and then this control algorithm is generalized for the case of unknown control direction. The proposed adaptive controllers are free from singularity, allow initialization to zero of all adjustable parameters of the used fuzzy systems, and guarantee asymptotic convergence of the tracking error to zero. Simulations performed on a nonlinear system are given to show the feasibility of the proposed adaptive control schemes.

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