Non-fragile robust H∞ control for uncertain discrete-time singular systems with time-varying delays

Memory dissipative control for singular T–S fuzzy time-varying delay systems under actuator saturation

“…Theorem 1 For a given scalar α > 0, symmetric matrices Q < 0, R and a matrix V, ∀x (t) ∈ ε E T P E, ρ the resulting closed-loop fuzzy time-delay system (10) 3,4,5), such that the following conditions hold for i, j ∈ , l = 1, 2, k = 1, 2 :…”

“…In [3], adaptive fuzzy tracking control for stochastic nonlinear systems with unknown time-varying delays was studied. On the other hand, singular systems [4] also named as descriptor systems or generalized state-space systems have received notable attention since the family of systems have been extensively applied to tackle mechanical systems, electric circuits, chemical process, power systems, interconnected systems, and so forth, see more practical examples in [5,8,11,12,14,17,23].…”

Compensating Unknown Time-Varying Delay in Opto-Electronic Platform Tracking Servo System

“…Until very recently, heavily research has done on infinite-time systems with time-varying delay [1,2,3,4,5,6,7,8,9,10,11,12]. With the development of the linear matrix inequality (LMI) approach, robust H∞ controller for time-delay systems has been greatly discussed for stochastic systems [13,14,15,16,17,18,19,20]. However, design of the controller u ( t ) /U ( K ) directly under unknown time-varying delay cannot meet the accuracy requirements because tracking accuracy must be mrad level.…”

Design of non-fragile state estimators for discrete time-delayed neural networks with parameter uncertainties

“…In other words, the parameters of the actually implemented controller/estimator might have slight deviations from their expected values, and therefore designed controller/estimator should have certain degree of tolerance or non-fragility against the possible parameter deviations. In the past decade, the problem of non-fragile control has gained much attention with respect to the implementation errors in controllers/estimators [24], [27], [32], [36], [37]. However, when it comes to the discrete-time RNNs with time-delays, the non-fragile state estimation problem has not been fully studied yet, not to mention the case where the uncertainties also enter into other network parameters.…”