An investigation has been made into the sliding mode control (SMC) problem for singular stochastic Markov systems (SSMSs) in this paper. By using replacement of matrix variables, a new mean square ...admissibility criterion of SSMSs is proposed first. Based on this admissibility criterion, the desired state-feedback controller is designed to guarantee the closed-loop system to be mean-square admissible. Then, the obtained results given in the form of strict linear matrix inequalities are applied to solve SMC problem of SSMSs. In order to illustrate the workability and applicability of the theoretic results developed, numerical examples are provided.
In this brief, the problem of extended dissipativity analysis for discrete-time neural networks with time-varying delay is investigated. The definition of extended dissipativity of discrete-time ...neural networks is proposed, which unifies several performance measures, such as the H ∞ performance, passivity, l 2 -l ∞ performance, and dissipativity. By introducing a triple-summable term in Lyapunov function, the reciprocally convex approach is utilized to bound the forward difference of the triple-summable term and then the extended dissipativity criterion for discrete-time neural networks with time-varying delay is established. The derived condition guarantees not only the extended dissipativity but also the stability of the neural networks. Two numerical examples are given to demonstrate the reduced conservatism and effectiveness of the obtained results.
This paper is concerned with the problem of robust reliable dissipative filtering for uncertain discrete-time singular system with interval time-varying delay and sensor failures. The uncertainty and ...the sensor failures considered are polytopic uncertainty and varying in a given interval, respectively. The purpose is to design a filter such that the filtering error singular system is regular, causal, asymptotically stable and strictly (Q,S,R)-dissipative. By utilizing reciprocally convex approach, firstly, sufficient reliable dissipativity analysis condition is established in terms of linear matrix inequalities (LMIs) for singular systems with time-varying delay and sensor failures. Based on this criterion, the result is extended to uncertain singular systems with time-varying delay and sensor failures. Moreover, the reliable dissipative filter is designed in terms of linear matrix inequalities (LMIs) for uncertain singular systems with time-varying delay and sensor failures. Finally, the effectiveness of the filter design method in this paper is illustrated by numerical examples.
► The result unifies the problems of H∞ and passive filtering of singular system. ► The reciprocally convex approach is used to reduce the conservativeness. ► The comparison results are given for the performance of filtering error system.
In this paper, the stability analysis problem of Takagi-Sugeno fuzzy systems with time-varying delay is investigated. By utilizing the Wirtinger-based integral inequality and the improved ...reciprocally convex combination technique, an improved stability condition is derived in terms of linear matrix inequalities. A numerical example is given to demonstrate the efficiency of the obtained result.
This paper is concerned with the problems of exponential stability analysis and synchronization of discrete-time switched delayed neural networks. Using the average dwell time approach together with ...the piecewise Lyapunov function technique, sufficient conditions are proposed to guarantee the exponential stability for the switched neural networks with time-delays. Benefitting from the delay partitioning method and the free-weighting matrix technique, the conservatism of the obtained results is reduced. In addition, the decay estimates are explicitly given and the synchronization problem is solved. The results reported in this paper not only depend upon the delay, but also depend upon the partitioning, which aims at reducing the conservatism. Numerical examples are presented to demonstrate the usefulness of the derived theoretical results.
In this paper, the problem of delay-dependent
α
-dissipativity analysis is investigated for continuous-time singular systems with time-delay. Using the delay partitioning technique, sufficient ...conditions are established in terms of linear matrix inequalities (LMIs), which guarantees a singular system to be admissible and strictly
(
Q
,
S
,
R
)
-
α
-dissipative. In addition to delay dependence, the obtained results are also dependent on the parameter
α
. Moreover, the results of
H
∞
performance analysis and passivity analysis are unified from the dissipative analysis results. The results developed in this paper are less conservative than existing ones in the literature, which are illustrated by several examples.
In this paper, we consider the state-feedback and static output feedback control problems of continuous singular interval-valued Takagi-Sugeno fuzzy systems with mismatched membership functions. ...First, based on the Lyapunov stability theory, a state-feedback control criterion is proposed to guarantee the closed-loop system to be admissible. Second, the result is extended to the static output feedback control problem, and a sufficient condition for synthesis is derived in terms of strict linear matrix inequalities, which eliminates the disadvantages in some existing results, such as same output matrices and the bilinear matrix inequality problem. To obtain less conservative results, the information of mismatched membership functions is employed. Finally, numerical examples are given to illustrate the effectiveness of the proposed techniques.
In this paper, the reachable set estimation problem is investigated for delayed discrete-time Takagi-Sugeno fuzzy systems with bounded input disturbances and nonzero initial conditions. A reachable ...set estimation condition is derived by using the reciprocally convex combination approach to bound the forward difference of triple-summable terms. The derived condition guarantees that all the states of the system with the initial conditions from some domain are bounded in a compact set, and all the states from other domain converge exponentially within another compact set. Moreover, a less conservative stability condition is also obtained. The effectiveness and the reduced conservatism of the proposed results are illustrated by numerical examples.
The purpose of this paper is to study the event-triggered
H
∞
control problem of network singular systems with unknown disturbances. First, we use an adaptive event-triggered scheme suitable for ...singular systems, which can adaptively adjust the trigger parameters of dynamic errors in order to economize confined network resources and downgrade conservatism. In this paper, the singular system is taken as the controlled object, and two observers are designed to assess the state and disturbance of the system, respectively. Therefore, a novel adaptive event-triggered
H
∞
control for singular systems with extended state observer is proposed. Second, by constructing a new Lyapunov functional, and using linear matrix inequalities and the theory of Lyapunov stability, the conditions for the system's asymptotic stability are obtained. Finally, to demonstrate the validity of the derived results, some simulations and comparisons are provided.
This study addresses the resilient sliding mode control (SMC) problem for two-dimensional cyber-physical systems (2D CPSs) characterized by the Roesser model under denial-of-service attack (DoS-A), ...which can interfere with signal transmission over the communication network. First, the DoS-A model is established by introducing constraints on the DoS frequency and duration. Then, based on active or silent attack situations, the considered system is described as a switched mode. Furthermore, together with Lyapunov theory, the average dwell time technique is employed to deduce sufficient criteria that assure the existence of the desired sliding mode controller. Finally, verification examples are provided to show the validity of the established SMC scheme.
