Displaying similar documents to “Persistent bounded disturbance rejection for uncertain time-delay systems”

Infinite-dimensional LMI approach to analysis and synthesis for linear time-delay systems

Kojiro Ikeda, Takehito Azuma, Kenko Uchida (2001)

Kybernetika

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This paper considers an analysis and synthesis problem of controllers for linear time-delay systems in the form of delay-dependent memory state feedback, and develops an Linear Matrix Inequality (LMI) approach. First, we present an existence condition and an explicit formula of controllers, which guarantee a prescribed level of L 2 gain of closed loop systems, in terms of infinite-dimensional LMIs. This result is rather general in the sense that it covers, as special cases, some known...

Control of distributed delay systems with uncertainties: a generalized Popov theory approach

Dan Ivanescu, Silviu-Iulian Niculescu, Jean-Michel Dion, Luc Dugard (2001)

Kybernetika

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The paper deals with the generalized Popov theory applied to uncertain systems with distributed time delay. Sufficient conditions for stabilizing this class of delayed systems as well as for γ -attenuation achievement are given in terms of algebraic properties of a Popov system via a Liapunov–Krasovskii functional. The considered approach is new in the context of distributed linear time-delay systems and gives some interesting interpretations of H ∞ memoryless control problems in terms...

On generalized Popov theory for delay systems

Silviu-Iulian Niculescu, Vlad Ionescu, Dan Ivanescu, Luc Dugard, Jean-Michel Dion (2000)

Kybernetika

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This paper focuses on the Popov generalized theory for a class of some linear systems including discrete and distributed delays. Sufficient conditions for stabilizing such systems as well as for coerciveness of an appropriate quadratic cost are developed. The obtained results are applied for the design of a memoryless state feedback control law which guarantees the (exponential) closed-loop stability with an ℒ 2 norm bound constraint on disturbance attenuation. Note that the proposed results...

New trends in design of observers for time-delay systems

Olivier Sename (2001)

Kybernetika

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This paper presents some recent results about the design of observers for time-delay systems. It is focused on methods that can lead to design some useful observers in practical situations. First the links between observability properties and observers design is emphasized. Then some necessary and sufficient conditions and a method are provided to obtain unknown input observers for time-delay systems. Furthermore some H ∞ design using Lyapunov–Krasovskii and Lyapunov–Razumikhin theories...