Less Conservative Stability Criteria for Discrete‐Time Nonlinear Stochastic Singular Systems with Mixed Time‐Delay

Weng, Falu; Ding, Yuting; Yang, Guoliang; Liang, Lihua; Yu, Zhongan

doi:10.1002/asjc.709

Cited by 9 publications

(4 citation statements)

References 15 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Therefore, it is trivial that the stability conditions that are investigated in propositions 1 and 2 are very conservative. In the next propositions, in order to find a less conservative stability criteria , we are going to relax these conditions. Therefore, these stability results are extended for reset control systems where the base‐system is unstable and also the Lyapunov function may be increasing at reset‐times.…”

Section: Stability Analysis Of Nonlinear Reset Control Systemsmentioning

confidence: 99%

A Reset‐Time Dependent Approach for Stability Analysis of Nonlinear Reset Control Systems

Ghaffari

Karimaghaee

Khayatian

2016

Asian Journal of Control

View full text Add to dashboard Cite

A reset mechanism in controller can affect the stability property of a closed loop control system. In a simple word, there are stable reset control systems with unstable base-systems and also unstable reset systems with stable base-systems. The Lyapunov stability theory is a strong tool to investigate the stability of a nonlinear system. In this paper, based on the wellknown Lyapunov stability concept, some stability conditions for nonlinear reset control systems are addressed. These conditions are dependent on the reset-times and hence the reset-time intervals are explicitly emerged in the stability conditions. Some applications of these results are used in numerical examples to show the effectiveness of the proposed approach.

show abstract

Section: Stability Analysis Of Nonlinear Reset Control Systemsmentioning

confidence: 99%

A Reset‐Time Dependent Approach for Stability Analysis of Nonlinear Reset Control Systems

Ghaffari

Karimaghaee

Khayatian

2016

Asian Journal of Control

View full text Add to dashboard Cite

show abstract

“…Since time delays can degrade system performance, and even result in instability, stability analysis and stabilization synthesis have been at the forefront of research on time delay systems in the recent decades . In practice, time delays always appear in various engineering, biological, and economical systems .…”

Section: Introductionmentioning

confidence: 99%

Improved Stability Criteria for Linear Neutral Time‐Delay Systems

Xia¹,

Zhao²,

Li³

et al. 2014

Asian Journal of Control

View full text Add to dashboard Cite

This paper is concerned with the problem of stability analysis of linear neutral time delay systems. First, a new simple Lyapunov-Krasovskii functional is constructed based on delay partitioning approach, then, a novel improved delay-dependent stability criterion is established to guarantee the asymptotic stability of the neutral system. The obtained stability criterion is expressed in terms of linear matrix inequalities, which can be verified easily by means of standard software. Numerical examples are given to illustrate the effectiveness of the proposed method and the advantage over some existing results. 2 2 2 γ .By using the Leibniz-Newton formula, and denoting

show abstract

“…Furthermore, time delay or transportation lag is commonly encountered when the control forces are applied to the practical systems. Thus, another important issue of structural control is the time delay problem when the control forces are applied to the structures [29][30]. Recently, the study of structural systems with control input time-delay has received increasing attention, for example, in terms of the feasibility of certain delay-dependent linear matrix inequalities (LMIs), the robust H ∞ disturbance attenuation problem for uncertain structural systems with control input time-delay was researched by [8].…”

Section: Introductionmentioning

confidence: 99%

Finite-Time Vibration Control of Earthquake Excited Linear Structures with Input Time-Delay and Saturation

Weng

Ding

et al. 2014

Journal of Low Frequency Noise, Vibration and Active Control

Self Cite

View full text Add to dashboard Cite

The problem of finite-time vibration control of earthquake excited linear structures with input time-delay and saturation is concerned in this paper. The objective of designing controllers is to guarantee the finite-time stability of closed-loop systems while attenuating earthquake-induced vibration of the structures. First, based on matrix transformation, the structural system is described as a state-space model, which contains actuator saturation and input time-delay. Then, based on a Lyapunov functional and finite-time stability analysis method, some sufficient conditions for the existence of saturationtolerant finite-time vibration-attenuation controllers are obtained. By solving these conditions, the desired controllers can be obtained for the closed-loop system to be finite-time stable with a prescribed level of disturbance attenuation. It is shown by the simulation results that compared with some Lyapunov asymptotic stability results, finite-time stability control can result in better state responses. Furthermore, saturation-tolerant controller can result in a much lower controller gain than the ones without considering actuator saturations.

show abstract

Less Conservative Stability Criteria for Discrete‐Time Nonlinear Stochastic Singular Systems with Mixed Time‐Delay

Cited by 9 publications

References 15 publications

A Reset‐Time Dependent Approach for Stability Analysis of Nonlinear Reset Control Systems

A Reset‐Time Dependent Approach for Stability Analysis of Nonlinear Reset Control Systems

Improved Stability Criteria for Linear Neutral Time‐Delay Systems

Finite-Time Vibration Control of Earthquake Excited Linear Structures with Input Time-Delay and Saturation

Contact Info

Product

Resources

About