Reliable memory feedback design for a class of non‐linear time‐delay systems

Abstract

SUMMARYThis paper is concerned with the robust controller design of uncertain time-delay systems with unknown nonlinearity and actuators failures. New methods for designing stabilizing controllers and reliable controllers are proposed. The stability criteria of the closed-loop system, which are dependent on the magnitudes of the delay and its derivative, are derived in the form of linear matrix inequalities. Numerical and simulation results are provided to demonstrate the effectiveness of the proposed results, as well as the reduction of conservativeness when compared with existing ones.

Reliable memory feedback design for a class of nonlinear fuzzy systems with time-varying delay

“…In this paper, the proposed method is inspired by the result in [11]. Being delay-dependent, the proposed method is less conservative than that in [7].…”

“…Remark 2. Reference [11] proposed two different controllers for no-fault case and fault case respectively; however, there is no fault detection unit in this paper. Therefore, we don't know which controller should be used.…”

Delay-Dependent Reliable H Control for Linear Time-Varying Delay Systems via Adaptive Approach

“…On the other hand, most of results to deal with timedelay systems with exception of Reference [10], [15]- [17] are under a full reliability assumption that all control components of the systems are in good working conditions. However, faults of actuators often occur in practical engineering systems, and this may lead to intolerable performance of the close-loop system.…”

“…Existing results on H ∞ control for time-delay systems can be classified into two types, that is, delay-independent ones [11], [16] and delay-dependent ones [2], [3], [6], [15].…”

H∞ Estimation for Stochastic Time Delays in Networked Control Systems by Partly Unknown Transition Probabilities of Markovian Chains

“…The packet dropouts can be considered as a kind of infinite delay. Yue, and co-workers have already deal with this issue with a delay system formulation including paper [22][23][24][25][26]. In Ref.…”