On Equivalence and Efficiency of Certain Stability Criteria for Time-Delay Systems

Xu, Shengyuan; Lam, James

doi:10.1109/tac.2006.886495

Cited by 257 publications

(137 citation statements)

References 12 publications

Supporting

Mentioning

132

Contrasting

Unclassified

Order By: Relevance

“…Many Lyapunov based methods have been investigated for time delay margin calculation with different levels of conservation [23]. In this paper, the free weighting matrices methods, proposed in [24], with less conservativeness has been applied.…”

Section: Delay Dependent Stability Criterionmentioning

confidence: 99%

Optimal robust stabilizer design based on UPFC for interconnected power systems considering time delay

Koofigar

Isazadeh

2017

Archives of Electrical Engineering

View full text Add to dashboard Cite

A robust auxiliary wide area damping controller is proposed for a unified power flow controller (UPFC). The mixedproblem with regional pole placement, resolved by linear matrix inequality (LMI), is applied for controller design. Based on modal analysis, the optimal wide area input signals for the controller are selected. The time delay of input signals, due to electrical distance from the UPFC location is taken into account in the design procedure. The proposed controller is applied to a multimachine interconnected power system from the IRAN power grid. It is shown that the both transient and dynamic stability are significantly improved despite different disturbances and loading conditions.

show abstract

Section: Delay Dependent Stability Criterionmentioning

confidence: 99%

Optimal robust stabilizer design based on UPFC for interconnected power systems considering time delay

Koofigar

Isazadeh

2017

Archives of Electrical Engineering

View full text Add to dashboard Cite

show abstract

“…[38,41]), for the purpose of this paper the condition (9) is more useful. Typically, less conservative results are obtained by additional terms in the Krasovskii functional.…”

Section: Lemma 22 (Seementioning

confidence: 99%

“…There are various sufficient conditions in terms of linear matrix inequalities (LMIs) and Ricatti-type inequalities for the stability of time-delayed systems [32,36,38,41,43,44]. Many of these sufficient conditions are shown to be equivalent [38,45].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Dwell‐time computation for stability of switched systems with time delays

Çalışkan¹,

Özbay²,

Niculescu

2013

IET Control Theory & Applications

View full text Add to dashboard Cite

Abstract:The aim of this study is to find an improved dwell time that guarantees the stability of switched systems with heterogeneous constant time-delays. Piecewise Lyapunov-Krasovkii functionals are used for each candidate system to investigate the stability of the switched time-delayed system. Under the assumption that each candidate system is stable for small delay values, a sufficient condition for dwell-time that guarantees the asymptotic stability is derived. Numerical examples are given to compare the results with the previously obtained dwell-time bounds.

show abstract

“…Time-delay systems can be generally classified into two types: systems with state delays [5,[19][20][21]24] and system with input delays [2,3,6,10,22,23]. Input delays are common in many engineering fields, such as process control and communications networks.…”

mentioning

confidence: 99%

Stabilization of Discrete-Time Switched Systems with Input Time Delay and Its Applications in Networked Control Systems

Xie

Chen

2009

Circuits Syst Signal Process

View full text Add to dashboard Cite

In this paper, we focus on investigating the asymptotic stabilizability of switched systems with input time delay and its applications in networked control systems (NCSs). First, based on an important lemma, a linear matrix inequality (LMI)-based asymptotic stabilizability criterion is established. Stabilizing switched state feedback controllers can be designed by solving a set of LMIs, which can be easily tested with efficient LMI algorithms. Then, for NCSs with communication constraints, the NCS is modelled as a discrete-time switched system with input time delay. Thus, the asymptotic stabilizability criterion of switched system with input delay can be applicable to such NCSs. Finally, an example is given to illustrate our main results.

show abstract

On Equivalence and Efficiency of Certain Stability Criteria for Time-Delay Systems

Cited by 257 publications

References 12 publications

Optimal robust stabilizer design based on UPFC for interconnected power systems considering time delay

Optimal robust stabilizer design based on UPFC for interconnected power systems considering time delay

Dwell‐time computation for stability of switched systems with time delays

Stabilization of Discrete-Time Switched Systems with Input Time Delay and Its Applications in Networked Control Systems

Contact Info

Product

Resources

About