Displaying similar documents to “Control of distributed delay systems with uncertainties: a generalized Popov theory approach”

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...

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...

Sliding mode control in the presence of delay

Jean-Pierre Richard, Fréderic Gouaisbaut, Wilfrid Perruquetti (2001)

Kybernetika

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This paper provides an overview of recent results for relay-delay systems. In a first section, simple examples illustrate the problems induced by delays in the synthesis of sliding mode controllers. Then, a brief overview of the existing results shows the present advances and limits in this domain. The last parts of the paper are devoted to new results: first, for systems with state delay, then for systems with input delay.

Stability and stabilizability of a class of uncertain dynamical systems with delays

Mohammed Saadni, Driss Mehdi (2005)

International Journal of Applied Mathematics and Computer Science

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This paper deals with a class of uncertain systems with time-varying delays and norm-bounded uncertainty. The stability and stabilizability of this class of systems are considered. Linear Matrix Inequalities (LMI) delay-dependent sufficient conditions for both stability and stabilizability and their robustness are established.