Application of circle criteria for stability analysis of linear SISO and MIMO systems associated with fuzzy logic controller

Ray, Kumar Sankar; Majumder, D. Dutta

doi:10.1109/tsmc.1984.6313223

Cited by 131 publications

(35 citation statements)

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“…This approach is pursued in the early works [29,30] and some indices were also derived, based on Jacobian matrix, to indicate how far from instability a fuzzy loop is [31,32].…”

Section: Model-based Fuzzy Control Designmentioning

confidence: 99%

Fuzzy control turns 50: 10 years later

Guerra

Sala

Tanaka

2015

Fuzzy Sets and Systems

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In 2015, we celebrate the 50th anniversary of Fuzzy Sets, ten years after the main milestones regarding its applications in fuzzy control in their 40th birthday were reviewed in FSS, see [1]. Ten years is at the same time a long period and short time thinking to the inner dynamics of research. This paper, presented for these 50 years of Fuzzy Sets is taking into account both thoughts. A first part presents a quick recap of the history of fuzzy control: from model-free design, based on human reasoning to quasi-LPV (Linear Parameter Varying) model-based control design via some milestones, and key applications. The second part shows where we arrived and what the improvements are since the milestone of the first 40 years. A last part is devoted to discussion and possible future research topics.

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“…This approach is pursued in the early works [29,30] and some indices were also derived, based on Jacobian matrix, to indicate how far from instability a fuzzy loop is [31,32].…”

Section: Model-based Fuzzy Control Designmentioning

confidence: 99%

Fuzzy control turns 50: 10 years later

Guerra

Sala

Tanaka

2015

Fuzzy Sets and Systems

View full text Add to dashboard Cite

show abstract

“…In this section the circle criterion (Ray, Ghosh et al 1984;Ray & Majumderr 1984;Vidyasagar 1993;Jenkins & Passino 1999) will be used for testing and tuning the controller in order to ensure the system stability and improve its output response. The circle criterion was first used in (Ray, Ghosh et al 1984;Ray & Majumderr 1984) for stability analysis of fuzzy logic controllers and as a result of its graphical nature; the designer is given a physical feel for the system.…”

Section: Stability Analysis Using Circle Criterionmentioning

confidence: 99%

“…The circle criterion was first used in (Ray, Ghosh et al 1984;Ray & Majumderr 1984) for stability analysis of fuzzy logic controllers and as a result of its graphical nature; the designer is given a physical feel for the system. The output of the system given by Eq.…”

Section: Stability Analysis Using Circle Criterionmentioning

confidence: 99%

Fuzzy Stabilization of Fuzzy Control Systems

Soraghan¹

2008

New Approaches in Automation and Robotics

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“…The aim of this paper is to generalize the off-axis circle criterion-based stability condition to the T-S fuzzy control systems in case of different constant reference inputs. The advantage of our method over the existing circle criterion criterion-based approach 11,20 is that it can still guarantee the asymptotic stability under the above circumstances. The rest of this paper is organized as follows.…”

Section: Introductionmentioning

confidence: 96%

“…More relevant references can also be found 10 . The circle criterion is applied for the stability analysis of the Mamdani type fuzzy control systems 11,12 . For the recent contributions, interested readers can refer to Refs.…”

Section: Introductionmentioning

confidence: 99%