Lower Bounds on Delay Margin of Second-Order Unstable Systems

Abstract : This paper examines the delay margin achievable by using PID controllers for linear time-invariant (LTI) systems subject to variable, unknown time delays. We derive explicit lower bounds on the delay margin of second-order unstable delay systems achievable by PID control, which provide a priori the ranges of delay over which a second-order delay plant is guaranteed to be stabilizable by a PID controller, and more generally, by a finite-dimensional LTI controller. Analysis shows that our results are less conservative in most cases than lower bounds obtained elsewhere using more sophisticated and general LTI controllers. © 2018
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D. Ma, A. Liu, J. Chen, Silviu-Iulian Niculescu. Lower Bounds on Delay Margin of Second-Order Unstable Systems. 14th IFAC Workshop on Time-Delay Systems (TDS), Jun 2018, Budapest, Hungary. pp.242-247, ⟨10.1016/j.ifacol.2018.07.230⟩. ⟨hal-02281721⟩



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