An improved digital redesign for sampled-data fuzzy control systems: Fuzzy Lyapunov function approach

New Stabilization Results for Semi‐Markov Chaotic Systems with Fuzzy Sampled‐Data Control

“…(i) is discussion for chaotic systems with both fuzzy sampled-data control and semi-Markov jump of generally uncertain transition rates is for the first time to be proposed. e obtained results in practical situation are more applicable than the previous results in [18,[20][21][22][23][24][25][26][27]. (ii) To make more cross terms of vector components in the resulting vector, a novel zero equality is established.…”

“…which have been extensively discussed in [18][19][20][21][22][23][24][25][26][27]. Choosing P(r t ) � P in (30), one can obtain the following corollary from eorem 2.…”

“…In recent years, according to the input delay method, lots of important stabilization results on chaotic systems with fuzzy sampleddata control were presented [18][19][20][21][22][23][24][25][26][27]. In [18,23,24], by designing fuzzy sampled-data control, the stabilization conditions for chaotic systems have been obtained. In [19,20], by constructing input-delay-dependent LKFs, less conservative criteria for chaotic system have been studied.…”

“…Moreover, it should be pointed out that the existing works [18][19][20][21][22][23][24][25][26][27] considered how to obtain less conservative stabilization conditions, while they ignored calculation load. Actually, during the application of LMI-based criteria to large-scale physical systems, the computational complexity is a very significant problem [28].…”

Intelligent digital redesign for T–S fuzzy systems: sampled‐data filter approach

“…In addition, the existing IDR methods are not directly applicable to the filters because the discretisation process alters the structural property of these filters, and (ii) the state-matching performance is insufficient because the discretised process cannot directly minimise the statematching error between the continuous-time and sampled-data signals. Very recently, although the non-discretisation IDR technique was proposed in [27] by using the continuous-time fuzzy Lyapunov functional, the stability was guaranteed only in one sampling period, not in the whole time.…”