LMI-Based Approach for Output-Feedback Stabilization for Discrete-Time Takagi--Sugeno Systems

Static output‐feedback for Takagi–Sugeno systems with delays

“…The following result gives some conditions for the stability of (7). Theorem 3.1 (Nachidi et al [31]) If there exist symmetric matrices P 1 >0, . .…”

An enhanced control approach for dc–dc converters

“…The asymptotical stability of the fuzzy controller in [19,17] is guaranteed using a common Lyapunov function. Nevertheless, In the context of T-S fuzzy control, it is well known that the use of the common Lyapunov functions may lead to a very conservatism result [20,21].…”

“…Hence, it is more suitable to develop methodologies which involve a design with a low dimensionality [2]. This paper derives its basis from recent results of the authors on the stabilization of nominal T-S system using static output-feedback [21]: this selected methodology is based on using multiple Lyapunov functions and does not assume that the all states should be measurable; hence, the results are clearly less conservative and require less sensors than the previous results.…”

Stabilization of switching Takagi–Sugeno systems by switched Lyapunov function

“…On the other hand, since the introduction of T-S fuzzy models by Takagi and Sugeno [9] in 1985, fuzzy model control has been extensively studied because T-S fuzzy models provide an effective representation of complex nonlinear systems [10][11][12][13][14].…”