A New Stability Criterion of Networked Control Systems (original) (raw)
This paper concerns with robust stability criteria of networked control systems (NCSs) with the effects of both the time-varying network-induced delay and data packet dropout taken into consideration. A less conservative delay-dependent stability condition is formulated in the form of a linear matrix inequality based on a Lyapunov-Krasovskii functional. No slack matrix variables are introduced and overly bounding for some term is avoided. Furthermore, a strict proof is given to show less conservatism of the proposed method.
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Journal of Control Science and Engineering, 2014
The problem of stability analysis for a class of networked control systems (NCSs) with network-induced delay and packet dropout is investigated in this paper. Based on the working mechanism of zero-order holder, the closed-loop NCS is modeled as a continuous-time linear system with input delay. By introducing a novel Lyapunov-Krasovskii functional which splits both the lower and upper bounds of the delay into two subintervals, respectively, and utilizes reciprocally convex combination technique, a new stability criterion is derived in terms of linear matrix inequalities. Compared with previous results in the literature, the obtained stability criterion is less conservative. Numerical examples demonstrate the validity and feasibility of the proposed method.
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In this paper, we concern with robust stability of networked control systems (NCSs) by taking the effects of both the time-varying network-induced delay and data packet dropout into consideration. A new delay decomposition approach to time-varying delay is proposed and an appropriate Lyapunov-Krasovskii functional is constructed to derive some less conservative stability criteria. No slack matrix variable is introduced and overly bounding for some term is avoided. Furthermore, two numerical examples are given to show the effectiveness of the proposed results.
Stabilization of Networked Control Systems With a New Delay Characterization
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The problem of data packet dropout and transmission delays induced by communication channel in networked control systems (NCSs) is studied in this paper. We model the continuous-time NCSs with data packet dropout and transmission delays as ordinary linear systems with time-varying input delays. By using the Lyapunov-Razumikhin function techniques, delaydependent condition on the stabilization of NCSs is obtained in terms of linear matrix inequalities (LMIs). Stabilizing state feedback controllers can then be constructed by using the feasible solutions of some LMIs. The admissible upper bounds of data packet loss and delays can be computed by using the quasi-convex optimization algorithm. Numerical examples illustrate the effectiveness of the proposed approach.
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This paper concerns the stability conditions and controller design for sampled-data networked control systems (NCSs) model subject to network communication delays, the main objective is to guarantee the maximum allowable upper bounds of network-induced time-varying delays that keep the NCSs stable. First, Lyapunov-Krasovskii functional with simple and double-integral terms is constructed considering both upper and lower bounds of network delay. Then, less conservative Linear Matrix Inequalities (LMIs) stability conditions are established using null terms to introduce free weighting matrices based on the Leibniz-Newton formula. Furthermore, Finsler's lemma is used for the relaxation of the obtained LMI's stability conditions using slack decision variables. It is also used to decouple Lyapunov-Krasovskii matrices from the system ones. The application of the proposed approach for different NCSs gives higher upper delay bounds compared with other methods.
IEEE Conference on Decision and Control and European Control Conference, 2011
This paper concerns the establishment of a new stability criterion for networked control systems (NCSs) liable to model uncertainties and time-varying delays. The proposed criterion is an improvement over previous ones, for the employment of a novel delay-fractioning approach and the development of a new Lyapunov-Krasovskii functional (LKF). The analysis incorporates state-of-the-art stability techniques for systems with time-varying delays such as convex optimization technique and piecewise analysis method. Moreover, we consider the derivative character of the NCS' time-varying delay. The analysis is enriched with numerical examples that illustrates the effectiveness of the proposed criterion which outperform state-of-the-art stability criteria in the literature for nominal and uncertain NCSs.
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