International Journal of Control · 1985 · 104 citations · 7 references
EngineeringMathematicsSystems EngineeringDynamical SystemsProcess ControlProcess DynamicsControl Of Dynamical SystemsControl SystemsControl TheoryController DesignStability TheoryTransfer FunctionsDelay-dependent StabilityNyquist Stability CriterionRoot LocusSmith PredictorStability Analysis Of Linear SystemsTime-delay Controller DesignTime-delay SystemsTime-delay Systems Control
Abstract An integrated design procedure is developed for a modified Smith predictor and associated controller for linear time-delay systems having transfer functions of the form k 1, A exp (—sT)/B, where A and B are monic polynomials in s of degree n — l and n, respectively. A is Hurwitz and B has a single right-half-plane root at s = λ. For l=1,2,3, an augmented PI controller guarantees asymptotic stability for λT less than an l-dependent limit. The procedure for l = 3 is extended to l = 4 with the introduction of derivative action into the controller. Design arguments are on root locus topology, and on Nyquist analysis applied to an auxiliary system.
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