Journal ArticleDOI
A descriptor system approach to H/sub /spl infin// control of linear time-delay systems
Emilia Fridman,Uri Shaked +1 more
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The output-feedback H/sub /spl infin// control problem is solved for continuous-time, linear, retarded and neutral-type systems by using a descriptor model transformation of the system and by applying P. Park's inequality (1999) for bounding cross-terms.Abstract:
The output-feedback H/sub /spl infin// control problem is solved for continuous-time, linear, retarded and neutral-type systems. A delay-dependent solution is obtained in terms of linear matrix inequalities (LMIs) by using a descriptor model transformation of the system and by applying P. Park's inequality (1999) for bounding cross-terms. A state-feedback solution is derived for systems with polytopic parameter uncertainties. An output-feedback controller is then found by solving two LMIs, one of which is associated with a descriptor time-delay "innovation filter". The cases of instantaneous and delayed measurements are considered. Numerical examples are given which illustrate the effectiveness of the new theory.read more
Citations
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A Survey of Recent Results in Networked Control Systems
TL;DR: This work reviews several recent results on estimation, analysis, and controller synthesis for NCSs, and addresses channel limitations in terms of packet-rates, sampling, network delay, and packet dropouts.
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Time-delay systems: an overview of some recent advances and open problems
TL;DR: Some open problems are discussed: the constructive use of the delayed inputs, the digital implementation of distributed delays, the control via the delay, and the handling of information related to the delay value.
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Wirtinger-based integral inequality: Application to time-delay systems
TL;DR: An alternative inequality based on the Fourier Theory, more precisely on the Wirtinger inequalities is proposed and it is shown that this resulting inequality encompasses the Jensen one and also leads to tractable LMI conditions.
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Technical Communique: Robust sampled-data stabilization of linear systems: an input delay approach
TL;DR: A new approach to robust sampled- data control is introduced, modelled as a continuous-time one, where the control input has a piecewise-continuous delay, and sufficient linear matrix inequalities conditions for sampled-data state-feedback stabilization of such systems are derived via descriptor approach to time-delay systems.
Journal ArticleDOI
An improved stabilization method for linear time-delay systems
Emilia Fridman,Uri Shaked +1 more
TL;DR: A delay-dependent criterion for determining the stability of systems with time-varying delays is obtained and this criterion is used to derive an efficient stabilizing state-feedback design method for systems with parameter uncertainty, of either the polytopic or the norm-bounded types.
References
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Book
Applied Theory of Functional Differential Equations
TL;DR: In this paper, the authors present an overview of state estimates of stochastic systems with delay and their control for deterministic FEDs, including optimal control of Stochastic Delay Systems.
Journal ArticleDOI
New Lyapunov–Krasovskii functionals for stability of linear retarded and neutral type systems ☆
TL;DR: A new (descriptor) model transformation and a corresponding Lyapunov–Krasovskii functional are introduced for stability analysis of systems with delays and conditions are given in terms of linear matrix inequalities.
Journal ArticleDOI
A delay-dependent stability criterion for systems with uncertain time-invariant delays
TL;DR: A new delay-dependent robust stability criterion for systems with time-invariant uncertain delays is derived, which is shown by an example less conservative than existing stability criteria.