Delay-dependent robust stabilisation of discrete-time systems with time-varying delay

Liu, Xinge; Martin, Ralph R.; Wu, Min; Tang, Mei-Lan

doi:10.1049/ip-cta:20050223

Cited by 80 publications

(73 citation statements)

References 16 publications

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“…(a) use of conventional controller schemes: static state feedback Pan et al (2006), Valter et al (2008), Du et al (2008), Yong et al (2008), Guangdeng et al (2009), and static output feedback or dynamic controllers Gao et al (2004), Liu et al (2006). (b) Dead-time compensation techniques (DTC), with the aim to eliminate the delay from the characteristic equation by incorporating some sort of "prediction".…”

Section: Introductionmentioning

confidence: 99%

Robustness analysis of discrete predictor-based controllers for input-delay systems

González

Sala

Garcia

et al. 2013

International Journal of Systems Science

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In this paper, robustness to model uncertainties are analyzed in the context of discrete predictor-based statefeedback controllers for discrete-time input-delay systems with time-varying delay, in an LMI framework.The goal is comparing robustness of predictor-based strategies with respect to other (sub)optimal state feedback ones. A numerical example illustrates that improvements in tolerance to modelling errors can be achieved by using the predictor framework.

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Section: Introductionmentioning

confidence: 99%

Robustness analysis of discrete predictor-based controllers for input-delay systems

González

Sala

Garcia

et al. 2013

International Journal of Systems Science

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“…This system has been investigated by Liu et al (2006), Boukas (2006) and Leite & Miranda (2008a Boukas (2006) are no longer applicable and those from Liu et al (2006) …”

Section: Robust Stability Analysismentioning

confidence: 99%

Uncertain Discrete-Time Systems with Delayed State: Robust Stabilization with Performance Specification via LMI Formulations

Leite¹,

Castro²,

Caldeira³

et al. 2011

Discrete Time Systems

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“…Utilizing relations among all of the systems' states, Liu et al [14] developed some results on the stability and stabilization of uncertain discrete-time systems with time-varying delay. The so-called lifting method was employed in [15] to transform discrete-time systems with constant delay into a delay-free system, and thus some necessary and sufficient stability conditions have been derived.…”

Section: Introductionmentioning

confidence: 99%

Robust stability of linear uncertain discrete-time systems with interval time-varying delay

Parlakci

2014

Turk J Elec Eng & Comp Sci

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This paper presents a robust stability problem for linear uncertain discrete-time systems with interval timevarying delay and norm-bounded uncertainties. First, a necessary and sufficient stability condition is obtained by employing a well-known lifting method and switched system approach for nominal discrete-time delay systems. Both the stability method of checking the characteristic values inside the unit circle and a Lyapunov function-based stability result are taken into consideration. Second, a simple Lyapunov-Krasovskii functional (LKF) is selected, and utilizing a generalized Jensen sum inequality, a sufficient stability condition is presented in the form of linear matrix inequalities.Third, a novel LKF is proposed together with the use of a convexity approach in the LKF. Finally, the proposed method is extended to the case when the system under consideration is subject to norm-bounded uncertainties. Three numerical examples are introduced to illustrate the effectiveness of the proposed approach, along with some numerical comparisons.

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Delay-dependent robust stabilisation of discrete-time systems with time-varying delay

Cited by 80 publications

References 16 publications

Robustness analysis of discrete predictor-based controllers for input-delay systems

Robustness analysis of discrete predictor-based controllers for input-delay systems

Uncertain Discrete-Time Systems with Delayed State: Robust Stabilization with Performance Specification via LMI Formulations

Robust stability of linear uncertain discrete-time systems with interval time-varying delay

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