Jenq-Der Chen, Chyi-Da Yang, Kuo-Jung Lin, Chang-Hua Lien (2008)
Control and Cybernetics
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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.
Przemysław Ignaciuk (2021)
Kybernetika
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In order to achieve a short regulation cycle, time-optimal control has been considered in the past. However, the sensitivity to errors and uncertainties, and implementation difficulties in the practical systems, have incited other research directions to meet this objective. In this paper, soft Variable Structure Control (VSC) is analyzed from the perspective of linear time-delay systems with input constraint. The desired fast convergence under a smoothly varying control signal is obtained....
Mohamad Jamshidi, Mohsen Razzaghi (1975)
Kybernetika
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Marina Blizorukova, Franz Kappel, Vyacheslav Maksimov (2001)
International Journal of Applied Mathematics and Computer Science
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A problem of guaranteed control is under discussion. This problem consists in the attainment of a given target set by a phase trajectory of a system described by an equation with time delay. An uncontrolled disturbance (along with a control) is assumed to act upon the system. An algorithm for solving the problem in the case when information on a phase trajectory is incomplete (measurements of a 'part' of coordinates) is designed. The algorithm is stable with respect to informational...
Germain Garcia, Sophie Tarbouriech (2001)
Kybernetika
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A method to derive a nonlinear bounded state feedback controller for a linear continuous-time system with time-delay in the state is proposed. The controllers are based on an -parameterized family of algebraic Riccati equations or on an -parameterized family of LMI optimization problems. Hence, nested ellipsoidal neighborhoods of the origin are determined. Thus, from the Lyapunov–Krasovskii theorem, the uniform asymptotic stability of the closed-loop system is guaranteed and a certain...