Fuzzy control of a benchmark problem: A computing with words approach

Michael Margaliot; Gideon Langholz

doi:10.1109/TFUZZ.2004.825083

Fuzzy control of a benchmark problem: A computing with words approach

Michael Margaliot^*, Gideon Langholz

^*Corresponding author for this work

Engineering General

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45 Scopus citations

Abstract

The rotational/translational proof-mass actuator (RTAC) system is a well-known benchmark for nonlinear control for which a number of controllers were designed. In this paper, we apply fuzzy Lyapunov synthesis, which is a computing with words version of classical Lyapunov synthesis, to design fuzzy controllers for the RTAC system. This allows us to systematically design state-feedback and output-feedback controllers using only a linguistic description of the RTAC system. The designed fuzzy controllers yield a globally asymptotically stable closed-loop system. We demonstrate their advantages in comparison with a previously designed linear controller for the RTAC system.

Original language	English
Pages (from-to)	230-235
Number of pages	6
Journal	IEEE Transactions on Fuzzy Systems
Volume	12
Issue number	2
DOIs	https://doi.org/10.1109/TFUZZ.2004.825083
State	Published - Apr 2004

Keywords

Fuzzy lyapunov synthesis
Nonlinear control
Output-feedback controller
Rotational/translational proof-mass actuator (RTAC) system
Translational oscillations with a rotational actuator (TORA) system

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10.1109/TFUZZ.2004.825083

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abstract = "The rotational/translational proof-mass actuator (RTAC) system is a well-known benchmark for nonlinear control for which a number of controllers were designed. In this paper, we apply fuzzy Lyapunov synthesis, which is a computing with words version of classical Lyapunov synthesis, to design fuzzy controllers for the RTAC system. This allows us to systematically design state-feedback and output-feedback controllers using only a linguistic description of the RTAC system. The designed fuzzy controllers yield a globally asymptotically stable closed-loop system. We demonstrate their advantages in comparison with a previously designed linear controller for the RTAC system.",

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Fuzzy control of a benchmark problem: A computing with words approach

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