H∞ control design for discrete-time switched fuzzy systems

Finite-time H ∞ state estimation for switched neural networks with time-varying delays

“…Similarly, based on Theorem 3.1, we can obtain the following asymptotic stability condition for delayed neural networks (56). Table 1.…”

“…For some representative works on H ∞ filtering for switched delay systems, to name a few, investigated an exponential H ∞ filtering for continuous-time switched systems with interval time-varying delay to assure the exponential stability with a weighted H ∞ performance for the filtering error system via the free-weighting matrix technique. A finite-time H ∞ filter design procedure was developed by using the matlab toolbox for continuous-time switched time-varying delay systems ([53]- [56]). …”

Dynamic output feedback H∞ control for switched T–S fuzzy systems via discretized Lyapunov function technique

“…Recently, the switched fuzzy systems are widely applied for modelling more complicated real systems. Several control design and stability methods have been explored for switched fuzzy systems, and some useful results have been obtained, such as [6,14,25,27,28].…”

“…What's more, the H 1 control has been developed for its both practical and theoretical importance, see [28,42,44,45]. The H 1 controller is designed such that the resulting closed-loop system is robustly exponentially stable and ensures a prescribed exponential H 1 performance index.…”

RelaxedH∞control design of discrete-time Takagi–Sugeno fuzzy systems: A multi-samples approach

“…During the past several decades, the study of robust control has attracted considerable attention since failures of control components often occur in real industrial systems [1]- [5]. The main objective of the existing literature is to design a fixed controller such that the closed-loop system can maintain stability and acceptable performance, not only when all control components are operational, but also in the case of some admissible control component outages.…”