Stability Conditions for LMI-Based Fuzzy Control From Viewpoint of Membership Functions

Lian, Kuang‐Yow; Tu, Hui-Wen; Liou, Jeih-Jang

doi:10.1109/tfuzz.2006.886366

Cited by 26 publications

(6 citation statements)

References 13 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Over the past decade, the issues of stability and stabilization of T-S fuzzy systems have been considered extensively, see for example, with regards to stability analysis [16,17,27,29,47,52,100,101,102,108,130,122,123,124,125,126,139,145,155,156,157,175,176,184,190,193,209,212,217,223,252,259], and for stabilization problems [31,34,35,40,42,43,45,82,109,110,116,121,127,129,149,154,161,…”

Section: Stability and Stabilizationmentioning

confidence: 99%

Fuzzy Control Systems with Time-Delay and Stochastic Perturbation

Wu¹,

Su²,

Shi³

2015

Studies in Systems, Decision and Control

View full text Add to dashboard Cite

The series "Studies in Systems, Decision and Control" (SSDC) covers both new developments and advances, as well as the state of the art, in the various areas of broadly perceived systems, decision making and control-quickly, up to date and with a high quality. The intent is to cover the theory, applications, and perspectives on the state of the art and future developments relevant to systems, decision making, control, complex processes and related areas, as embedded in the fields of engineering, computer science, physics, economics, social and life sciences, as well as the paradigms and methodologies behind them. The series contains monographs, textbooks, lecture notes and edited volumes in systems, decision making and control spanning the areas of Cyber-Physical SystemsSocial Systems, Economic Systems and other. Of particular value to both the contributors and the readership are the short publication timeframe and the world-wide distribution and exposure which enable both a wide and rapid dissemination of research output.More information about this series at

show abstract

Section: Stability and Stabilizationmentioning

confidence: 99%

Fuzzy Control Systems with Time-Delay and Stochastic Perturbation

Wu¹,

Su²,

Shi³

2015

Studies in Systems, Decision and Control

View full text Add to dashboard Cite

show abstract

“…Among the various control techniques proposed in literature, fuzzy logic based control offers several advantages, namely, large signal stability, robustness, good dynamic response and simple implementation [21][22][23][24]. In this paper, due to the need for the speed of the system to be regulated, fuzzy logic based controllers are used to control the two-mass system.…”

Section: Fuzzy Controller Designmentioning

confidence: 99%

Gray-fuzzy control of a nonlinear two-mass system

Erenturk

2010

Journal of the Franklin Institute

View full text Add to dashboard Cite

“…Esseúltimo conjunto de desigualdadesé um problema de dimensão infinita com relaçãoàs variáveis premissas (Lian et al, 2006). Todavia, dadas as propriedades das funções de pertinência, veja (3), esseé um problema convexo, portanto seria equivalente a um número finito de restrições do tipo:…”

Section: Projeto De Controladorunclassified

Condiçoes LMIs alternativas para sistemas Takagi-Sugeno via função de Lyapunov Fuzzy

Mozelli

Avellar

Palhares

et al. 2010

Sba Controle & Automação

View full text Add to dashboard Cite

Este trabalho versa sobre análise de estabilidade e projeto de controladores para sistemas fuzzy Takagi-Sugeno (TS) contínuos no contexto de desigualdades matriciais lineares (LMIs). Aplicando uma estratégia de relaxaçao a um tipo de funçao de Lyapunov fuzzy proposta recentemente, é possível obter novas condições de estabilidade descritas por LMIs. Essas novas condições conferem novos graus de liberdade ao problema LMI, reduzindo o conservadorismo. Mais do que isso, tal estratégia permite a síntese de controladores inteiramente por meio de LMIs, uma característica bem mais atrativa do que os procedimentos baseados em desigualdades matriciais bilineares (BMIs) presentes na literatura. Teste numéricos e simulações ilustram as vantagens da nova metodologia.

show abstract

Stability Conditions for LMI-Based Fuzzy Control From Viewpoint of Membership Functions

Cited by 26 publications

References 13 publications

Fuzzy Control Systems with Time-Delay and Stochastic Perturbation

Fuzzy Control Systems with Time-Delay and Stochastic Perturbation

Gray-fuzzy control of a nonlinear two-mass system

Condiçoes LMIs alternativas para sistemas Takagi-Sugeno via função de Lyapunov Fuzzy

Contact Info

Product

Resources

About