Stability Analysis of a Type of T-S Fuzzy Control Systems Using Off-Axis Circle Criterion

Cao, Kairui; Xiao, Gao; Huang, Xin; Ban, Xiaojuan

doi:10.1080/18756891.2012.718153

Cited by 1 publication

(1 citation statement)

References 24 publications

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“…Both heuristic-based fuzzy control 15 and model-based fuzzy control, such as Takagi-Sugeno fuzzy model 16 , have been applied to many underactuated mechanical systems 17 . 18 stabilizes a quadruple inverted pendulum using a variable universe fuzzy controller.…”

Section: Co-published By Atlantis Press and Taylor And Francismentioning

confidence: 99%

Control of a chain pendulum: A fuzzy logic approach

Aranda-Escolástico¹,

Guinaldo²,

Santos³

et al. 2016

IJCIS

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In this paper we present a real application of computational intelligence. Fuzzy control of a non-linear rotary chain pendulum is proposed and implemented on real prototypes. The final aim is to obtain a larger region of attraction for the stabilization of this complex system, that is, a more robust controller. As it is well-known, fuzzy logic exploits the tolerance for imprecision, uncertainty and partial truth to achieve tractability, robustness and low solution cost when dealing with complex systems. In this case, the control strategy is based on a Takagi-Sugeno fuzzy model of the strongly non-linear multivariable system. Simulation and experimental results on the real plant have been obtained and tested in a rotary inverted pendulum and in a double rotary inverted pendulum. They have been compared to other feedback control strategies such as Full State Feedback or Linear Quadratic Regulator with encouraging results. Fuzzy control allows to enlarge the stability region of control. Indeed, the region of attraction and therefore the stabilization has been enlarged up to over 17% for the real system.

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