A New Intelligent Digital Redesign for T–S Fuzzy Systems: Global Approach

H_∞ Sampled-Data Control of Takagi-Sugeno Fuzzy System

“…■ Remark 1: Theorem 1 are based on the non-quadratic Lyapunov functions with , ‫א‬ , which leads to a less conservative result than previous results [1][2][3] based on the usage of the quadratic Lyapunov functions with common ൌ ൌ ‫ڮ‬ ൌ ൌ .…”

“…A direct discrete-time design is one of powerful design methodologies for sampled-data fuzzy controls (see [1][2][3][4][5] and references cited therein). It is to design a sampled-data controller based on the discrete-time model of a sampled-data dynamics.…”

“…It is to design a sampled-data controller based on the discrete-time model of a sampled-data dynamics. In [1][2][3], approximately discretized model is presented in the form of the general discrete-time Takagi-Sugeno (T-S) fuzzy model, and thus sampled-data fuzzy controllers are easily designed via the existing discrete-time fuzzy control theories. However, as mentioned in [6,7], the stability of the actual sampled-data closedloop system may not be guaranteed due to approximation error, although its approximate discrete-time model is stable.…”

“…In their method, there is no approximation error contrary to [1][2][3], and hence the stability of actual sampled-data control system is well guaranteed. In [5], an extension to observer-based output-feedback control is discussed.…”

Intelligent Digital Redesign for Nonlinear Interconnected Systems using Decentralized Fuzzy Control

“…However, these papers dealt with the local state-matching without concerning the global one. The global approaches of the IDR problem were presented in [15][16][17], but they did not consider the interconnection of the nonlinear systems. The decentralized digital controllers for the interconnected systems were proposed in [18][19][20].…”