Some approximation properties of adaptive fuzzy systems with variable universe of discourse

Long, Zuqiang; Liang, Ximing; Yang, Lüxi

doi:10.1016/j.ins.2010.05.004

Cited by 22 publications

(10 citation statements)

References 23 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…As a result, many researchers developed a keen interest in the theoretical analysis and practical design of VUD fuzzy controllers. For example, some VUD methods for chaotic systems and auto-gauge control systems were discussed in [17][18][19]; an analog circuit that made use of VUD fuzzy systems was developed in [20]; and some approximation properties and design methods for fuzzy systems were investigated in [21][22][23][24][25][26][27]. These works showed that VUD fuzzy controllers were capable of achieving good performance in control accuracy.…”

Section: Introductionmentioning

confidence: 99%

High-accuracy Fuzzy Controllers for Vacuum Cooling of Phosphoric Slurry Using Variable Universes of Discourse

Long¹,

Xu²,

Li³

2016

IJCA

Self Cite

View full text Add to dashboard Cite

Maintaining phosphoric slurry within the optimal temperature range is of great significance in improving the quality of the phosphoric acid product. Due to the lack of integral parts and the limited number of expert rules, general fuzzy controllers are commonly incapable of achieving accurate output. This paper proposed a novel fuzzy controller based on variable universes of discourse (VUD) to improve the accuracy of the temperature of phosphoric slurry. By tuning the motorized motor in the vacuum pump, the controller can obtain an appropriate vacuum degree in flash evaporators. With the online operation of contraction-expansion factors, fuzzy rules can be reproduced online, which is equivalent to the densification of fuzzy sets on universes of discourse. Thus, the output accuracy of VUD fuzzy controllers can be enhanced significantly. The experimental results show that VUD fuzzy controllers can tune the temperature of phosphoric slurry to within the optimal range and have a much better effect than general fuzzy controllers.

show abstract

Section: Introductionmentioning

confidence: 99%

High-accuracy Fuzzy Controllers for Vacuum Cooling of Phosphoric Slurry Using Variable Universes of Discourse

Long¹,

Xu²,

Li³

2016

IJCA

Self Cite

View full text Add to dashboard Cite

show abstract

“…Many researchers developed a keen interest in the theoretical analysis and practical design of VUD fuzzy controllers. For example, Wang et al discussed some VUD methods on the chaotic systems and auto gauge control system [9][10][11]; Shan et al developed an Analog Circuit with VUD fuzzy systems [12]; Long et al investigated the approximation properties of fuzzy systems and their design method [13][14][15][16]. All these research works are some examples of how to obtain a good performance in the control accuracy.…”

Section: Introductionmentioning

confidence: 99%

High-Accuracy Positioning Of Lathe Servo System Using Fuzzy Controllers Based On Variable Universe Of Discourse

Long

Yuan

et al. 2014

International Journal on Smart Sensing and Intelligent Systems

Self Cite

View full text Add to dashboard Cite

show abstract

“…Fuzzy systems can be constructed by splines [3][4][5][6] because the design of a fuzzy system can be regarded as a function approximation problem [7][8][9][10] and spline functions have many nice structural properties and excellent approximation powers [11]. By investigating the relation between fuzzy systems and splines, we proposed two classes of B-spline fuzzy systems (B-FSs) [12,13], which are linear combination of B-spline basis functions and rational B-spline basis functions, respectively.…”

Section: Introductionmentioning

confidence: 99%

Faired MISO B-Spline Fuzzy Systems and Its Applications

Tan

2013

Mathematical Problems in Engineering

View full text Add to dashboard Cite

We construct two classes of faired MISO B-spline fuzzy systems using the fairing method in computer-aided geometric design (CAGD) for reducing adverse effects of the inexact data. Towards this goal, we generalize the faring method to high-dimension cases so that the faring method only for SISO and DISO B-spline fuzzy systems is extended to fair the MISO ones. Then the problem to construct a faired MISO B-spline fuzzy systems is transformed into solving an optimization problem with a strictly convex quadratic objective function and the unique optimal solution vector is taken as linear combination coefficients of the basis functions for a certain B-spline fuzzy system to obtain a faired MISO B-spline fuzzy system. Furthermore, we design variable universe adaptive fuzzy controllers by B-spline fuzzy systems and faired B-spline fuzzy systems to stabilize the double inverted pendulum. The simulation results show that the controllers by faired B-spline fuzzy systems perform better than those by B-spline fuzzy systems, especially when the data for fuzzy systems are inexact.

show abstract

Some approximation properties of adaptive fuzzy systems with variable universe of discourse

Cited by 22 publications

References 23 publications

High-accuracy Fuzzy Controllers for Vacuum Cooling of Phosphoric Slurry Using Variable Universes of Discourse

High-accuracy Fuzzy Controllers for Vacuum Cooling of Phosphoric Slurry Using Variable Universes of Discourse

High-Accuracy Positioning Of Lathe Servo System Using Fuzzy Controllers Based On Variable Universe Of Discourse

Faired MISO B-Spline Fuzzy Systems and Its Applications

Contact Info

Product

Resources

About