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Stabilisation of closed loop systems by time delays

Stabilisation of closed loop systems by time delays

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© The Institution of Electrical Engineers
Published

It is generally recognised that time delays will cause closed loop systems to become unstable. The adverse effect on stability caused by time delays is presented. Bounds on time delays for the stabilisation of unstable closed loop systems are also derived.

Inspec keywords: closed loop systems; stability criteria; delays

Other keywords: time delays; stabilisation of unstable closed loop systems

Subjects: Stability in control theory; Distributed parameter control systems

References

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      • K. Walton , J.E. Marshall . Direct method for TDS stability analysis. IEE Proc. D , 2 , 101 - 107
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      • J. Chiasson . A method for computing the interval of delay values for which a differential-delay system is stable. IEEE Trans. , 1176 - 1178
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      • D.W. Luse . Multivariable singularly perturbed feedback systems with time delay. IEEE Trans. , 990 - 994
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      • G. Fernandez , R. Ortega , O. Begovich . Conditions for preservation of stability of adaptive controllers for systems with unmodeled delay. IEEE Trans. , 601 - 603
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      • E.B. Lee , W.-S. Lu , N.E. Wu . A Lyapunov theory for linear time-delay systems. IEEE Trans. , 259 - 261
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      • A.K. El-Sakkary . A new criterion for estimating robust time delays for closed-loop stability. IEEE Trans. , 209 - 210
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      • A.K. El-Sakkary . Estimating the robust dead time for closed-loop stability. IEEE Trans. , 599 - 601
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