Robust stabilization of polytopic discrete-time systems with time-varying state delay: A convex approach

Miranda, Márcio F.; Leite, Valter J. S.

doi:10.1016/j.jfranklin.2011.01.002

Cited by 20 publications

(6 citation statements)

References 40 publications

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“…Time delay naturally arises in various systems, such as engineering, telecommunications, and economical systems, etc., and leads to the instability and poor performance of systems. Large numbers of research paper for time-delay systems have been present on the problems of stability analysis and stabilization (for example, [8,11,15,16,19]), guaranteed cost control (for example, [3,5,12,20]), H 1 control (for example, [1,23,28]), filter design (for example, [6,24,27]), and so on.…”

Section: Introductionmentioning

confidence: 99%

Guaranteed cost D-stabilization and H∞ D-stabilization for linear discrete time-delay systems

Xiao¹,

Su²

2012

Journal of the Franklin Institute

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Section: Introductionmentioning

confidence: 99%

Guaranteed cost D-stabilization and H∞ D-stabilization for linear discrete time-delay systems

Xiao¹,

Su²

2012

Journal of the Franklin Institute

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“…Moreover, its application in real process is easier than control laws depending on the delay, as, for instance, V = 0 + − . Observe that the notion of stability in state delayed systems requires that all elements of the sequence , goes to the origin as → ∞ [1,26].…”

Section: Problem Statementmentioning

confidence: 99%

Robust Local Stabilization of Discrete-Time Systems with Time-Varying State Delay and Saturating Actuators

Silva

Scola

et al. 2018

Mathematical Problems in Engineering

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The robust local stabilization of uncertain discrete-time systems with time-varying state delayed and subject to saturating actuators is investigated in this work. A convex optimization method is proposed to compute robust state feedback control law such that the uncertain closed-loop is locally asymptotically stable if the initial condition belongs to an estimate of the region of attraction for the origin. The proposed procedure allows computing estimates of the region of attraction through the intersection of ellipsoidal sets in an augmented space, reducing the conservatism of the estimates found in the literature. Also, the conditions can handle the amount of delay variation between two consecutive samples, which is new in the literature for the discrete-time case. Although the given synthesis conditions are delay dependent, the proposed control law is delay independent, yielding to easier real time implementations. A convex procedure is proposed to maximize the size of the set of safe initial conditions. Numerical examples are provided to illustrate the effectiveness of our approach and also to compare it with other conditions in the literature.

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“…In In [76], the authors focussed on the stability analysis and robust design of uncertain discrete-time systems with time-varying delay. They developed both delay dependent and independent convex conditions to guarantee stability of the closed loop.…”

Section: Models Incorporating Only Network Delaysmentioning

confidence: 99%

Stabilization of Networked Control Systems With Random Delays

Luan

Shi

Liu

2011

IEEE Trans. Ind. Electron.

158

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Robust stabilization of polytopic discrete-time systems with time-varying state delay: A convex approach

Cited by 20 publications

References 40 publications

Guaranteed cost D-stabilization and H∞ D-stabilization for linear discrete time-delay systems

Guaranteed cost D-stabilization and H∞ D-stabilization for linear discrete time-delay systems

Robust Local Stabilization of Discrete-Time Systems with Time-Varying State Delay and Saturating Actuators

Stabilization of Networked Control Systems With Random Delays

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