Robustness design of time-delay fuzzy systems using fuzzy Lyapunov method

A novel criterion for nonlinear time-delay systems using LMI fuzzy Lyapunov method

“…The temporary state of the nonlinear system can be described by a fuzzy IF-THEN rule; by combining a set of fuzzy IF-THEN rules, the whole nonlinear system is capable to be approximated. Similar operations can be found in previous studies (see [47][48][49][50]). Hence, the T-S fuzzy model approximated inverted pendulum nonlinear system can be described as follows:…”

Output-feedback adaptive fuzzy control for a class of nonlinear systems with input delay and unknown control directions

“…According to Eq. (48), it can be seen that the controller u(t) is continuous in the whole compact set O Z by combining the continuous function pðz n Þ. Therefore, the integral mean value theorem used in Eq.…”

“…As a result, the online learning time becomes prohibitively large. In addition, recent years, the applications of the new control theory have achieved great development and a lot of results have been obtained, such as [36][37][38] and the references therein, and many control approaches have been proposed to control the real systems, such as fuzzy control [5,6,18,19,21,26,29,[39][40][41][42][43][44][45][46][47][48][49], neural network control [2,4] and so on.…”

Reliability assessment for traffic data

“…Hsiao et al (2005) and Chen (2006), for instance, applied fuzzy logic to structural engineering problems. It is also highly successful in nonlinear control problems, as reported in Yeh et al (2008) and Chen et al (2009). However, to our knowledge, prior to this research de On˜a et al (2011) is the only attempt to use fuzzy logic to address the problem of traffic data collection, and these authors only address network consistency.…”