Delay‐dependent Stability and Static Output Feedback Control of 2‐D Discrete Systems with Interval Time‐varying Delays

Peng, Dan; Chen, Hua

doi:10.1002/asjc.876

Cited by 12 publications

(21 citation statements)

References 21 publications

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“…Theorem 1. Under Assumptions and , given scalars γ > 0, the error dynamic (6) with time-varying interval delay is asymptotically stable (when w(t) = 0) and the H ∞ norm of error dynamic (6) is less than γ, if there exist symmetric posi- (16) and the matrix inequality (17) hold…”

Section: Robust Fault Estimation Algorithmmentioning

confidence: 99%

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A Delay‐Dependent Approach to Robust Fast Adaptive Fault Estimation Design for Uncertain Neutral Systems with Time‐Varying Interval Delay

You

Wang

et al. 2016

Asian Journal of Control

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This paper studies the problem of robust fault estimation for neutral systems, which are subjected to uncertainties, actuator fault, time‐varying interval delay, and norm‐bounded external disturbance. Based on the fast adaptive fault estimation (FAFE) algorithm, we focus on the design of a fault estimation filter that guarantees stability in the filtering error system with a prescribed H∞ performance. A novel Lyapunov‐Krasovskii functional is employed, which includes time delay information. A delay‐dependent criterion of robust fault estimation design is obtained by employing the free‐weighting matrices technique, and the proposed result has advantages over some existing results, in that it is less conservative and it enlarges the application scope. An improved sufficient condition for the existence of such a filter is proposed in terms of the linear matrix inequality (LMI) by the Schur complements and the cone complementary linearization algorithm. Finally, illustrative examples are provided to show the effectiveness of the proposed method.

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Section: Robust Fault Estimation Algorithmmentioning

confidence: 99%

“…Note that (16) can be used as a stop condition since it is very difficult to obtain the optimal solution such that…”

mentioning

confidence: 99%

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A Delay‐Dependent Approach to Robust Fast Adaptive Fault Estimation Design for Uncertain Neutral Systems with Time‐Varying Interval Delay

You

Wang

et al. 2016

Asian Journal of Control

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“…A delay-dependent H ∞ controller has been designed for a 2-D switched system with time delays [9]. For 2-D discrete-time systems with interval time-varying delays, a delay-dependent stability problem has been studied in [10]. Based on [10], an improved approach has been given in [11].…”

Section: Introductionmentioning

confidence: 99%

“…For 2-D discrete-time systems with interval time-varying delays, a delay-dependent stability problem has been studied in [10]. Based on [10], an improved approach has been given in [11]. Besides, a delay-partitioning approach has been proposed in [12].…”

Section: Introductionmentioning

confidence: 99%

Stabilization for two-dimensional delta operator systems with time-varying delays and actuator saturation

2018

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In this paper, stabilization is studied for a two-dimensional delta operator system with time-varying delays and actuator saturation. Both lower and upper bounds of the time-varying delays are considered. An estimate of the domain of attraction for the two-dimensional delta operator system is introduced to analyze stability of the closed-loop system. A state feedback controller is designed via a Lyapunov-Krasovskii functional approach for the two-dimensional delta operator system with time-varying delays and actuator saturation. Two numerical examples are given to illustrate the effectiveness and advantages of the developed techniques.

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Abel lemma‐based finite‐sum inequality approach to stabilization for 2‐D time‐varying delay systems

Peng

Nie

2020

Asian Journal of Control

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The problem of delay‐dependent stability is concerned for two‐dimensional discrete‐time systems with interval time‐varying delays in this paper. Choosing a Lyapunov functional with the upper bound and lower bound of delays, considering all terms in the difference and using two‐dimensional Abel lemma‐based finite‐sum inequalities, a new delay‐dependent stability criterion in terms of linear matrix inequality is derived for two‐dimensional discrete‐time systems. Then, based on the delay‐dependent stability criteria, a state feedback control problem and a dynamic output feedback control problem are considered to realize the stability control for the two‐dimensional discrete‐time system. Finally, it is shown through four numerical examples that the stability criterion can provide a larger admissible maximum upper bound with less decision variables than the stability criterion using two‐dimensional Jensen inequalities approach.

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Delay‐dependent Stability and Static Output Feedback Control of 2‐D Discrete Systems with Interval Time‐varying Delays

Cited by 12 publications

References 21 publications

A Delay‐Dependent Approach to Robust Fast Adaptive Fault Estimation Design for Uncertain Neutral Systems with Time‐Varying Interval Delay

A Delay‐Dependent Approach to Robust Fast Adaptive Fault Estimation Design for Uncertain Neutral Systems with Time‐Varying Interval Delay

Stabilization for two-dimensional delta operator systems with time-varying delays and actuator saturation

Abel lemma‐based finite‐sum inequality approach to stabilization for 2‐D time‐varying delay systems

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