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This paper investigates the problem of H∞ control for a class of networked control systems (NCSs) with time-varying delay in both forward and backward channels. Combined with the switched Lyapunov function technique, an improved predictive controller design strategy is proposed to compensate for the delay and data dropout to achieve the desired control performance. Based on these methods, the controllers...
This paper studies the linear quadratic regulation problem for linear discrete time-varying systems with one or multiple delays in control input. This type of input-delay system can be used to model delayed actuation, where the system depends on the input after various (could be more than one) time delays. We provide explicit forms of the finite horizon closed-loop optimal control laws. Numerical...
For LTI systems with a time-varying input delay, an explicit formula for predictor feedback was presented by Nihtila in 1991. In this note we construct a time-varying Lyapunov functional for the closed-loop system and establish exponential stability. The key challenge is the selection of a state for a transport PDE, which has a non-constant propagation speed, and which is the basis of the stability...
This paper considers interval time-varying delay systems with delayed estimation of the delay. This case is often encountered in the Networked Control Systems (NCS) field. Based on Lyapunov-Krasovskii functional methods and linear matrix inequality (LMI) techniques, a switching state feedback controller is designed to guarantee the exponential stability. The controller switches according to the measured...
This paper presents adaptive neural tracking control for a class of non-affine pure-feedback systems with multiple unknown state time-varying delays. The separation technique is introduced to decompose unknown functions of all time-varying delayed states into a series of continuous functions of each delayed state. A novel Lyapunov-Krasovskii functional is employed to compensate for the unknown function...
This paper is concerned with the stabilization of networked control systems with nonlinear perturbations and fast-varying network-induces time-delay, and data dropout is also taken into consideration. Using LMI approach, new criteria are proposed for the controller design. The new criteria are irrelevant to the bound of the derivative of the delay, no constrain is imposed to the matrix structure....
The issue of the stability of linear systems with time-varying delays is considered in this paper. The time-delay considered in this paper belongs to a given interval and its derivative also belongs to a given interval. By constructing a new type of Lyapunov functional where some triple-integral terms are contained and the information of the lower bound on the delay is considered sufficiently, new...
The paper addresses the problem of H?? model reduction for uncertain Markovian jump systems with time-varying delay and uncertain switching probabilities. The purpose is to find a low-order model which can be used to approximate the original system such that the error system has a prescribed H?? performance. A sufficient condition is obtained in the form of matrix inequality. The cone complementary...
We show that for a general class of distributed power control algorithms in wireless networks, if a feasible steady state power allocation exists, this is asymptotically stable for arbitrary gains and time varying heterogeneous delays. The analysis exploits certain contraction properties of the interference in such algorithms, and makes use of Lyapunov Razumikhin functions to address the infinite...
The problem of delay-dependent robust passivity analysis and robust passification for uncertain Markovian jump linear systems (MJLs) with time-varying delay is discussed. The parameter uncertainties are time-varying but norm-bounded. Attention is focused on the design of passification controllers, which guarantee that the closed-loop MJLs is passive. By constructing a proper stochastic Lyapunov-Krasovskii...
The output-feedback control problem for nonlinear systems with state and input delays is addressed. Both state and input delays are allowed to be time-varying and uncertain. The class of systems considered consists of a nominal system of feedforward form as well as appended dynamics. A delay-independent robust adaptive feedback is designed based on our recent results on dual dynamic high-gain scaling...
This paper considers linear time delay systems with bounded disturbances that are not necessarily matched. A static output feedback sliding mode controller is designed. The existence problem is solved by determining a sliding surface that minimizes the ultimate bound of the reduced-order dynamics in the presence of time varying delay and unmatched disturbances. Linear matrix inequalities (LMIs) are...
In a multi-agent system (MAS), the agents are often considered to be autonomous entities, such as robots or software programs, each under the influence of a local rule, representing its interaction with other agents. Over the past few years, most research in the study of discrete-time MAS's concentrates on linear local rules. However, local interactions between agents are more likely to be governed...
This paper presents a new stability analysis of linear networked control systems. The new method is inspired by discontinuous Lyapunov functions that were introduced by using impulsive system representation of the sampled-data and of the networked control systems respectively. In the recent paper piecewise-continuous (in time) Lyapunov-Krasovskii functionals have been suggested for the stability analysis...
The problem of the stability of fuzzy systems with interval time-varying delay is addressed. The time-delay is assumed to belong to a given interval. The systems are approximated by Takagi-Sugeno(T-S)fuzzy models with interval time-varying delay. A Lyapunov-Krasovskii functional, which is based on both the lower and upper bounds of interval time-varying delay, is proposed to derive a less conservative...
This paper deals with a class of T-S fuzzy stochastic neural networks with uncertainty and time varying delays. A sufficient condition on asymptotical stability is developed in the LMI setting.
Any teleoperation system involving two distant devices is affected by communication delay due to the physical gap between the devices. Several approaches based on wave variables have already been proposed to deal with time-varying delay. However, these approaches are too conservative resulting in high degradation from the constant time delay case. In this paper, we propose a new control scheme for...
This paper is concerned with the stability analysis for a class of MIMO networked control systems (NCSs) with network constraints. In view of MIMO NCSs where network is of limited access channels, a discrete-time switched delay model is formulated. By constructing a novel piecewise Lyapunov-Krasovskii functional, a new stability criterion is developed in terms of linear matrix inequalities. A numerical...
Signal transmission in control structures is usually characterized by propagation processes, i.e. existence of time delays. For the interpolative-type control structures the problem is often disregarded, especially in the design step. Undoubtedly, the effect consists in worse real performances that those designed. In this context, the present paper proposes and presents a solution able to compensate,...
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