Özbay, HitayBonnet, C.Fioravanti, A.R.2016-02-082016-02-082011-11-220167-6911http://hdl.handle.net/11693/21633Classical proper PID controllers are designed for linear time invariant plants whose transfer functions are rational functions of sα, where 0<α<1, and s is the Laplace transform variable. Effect of inputoutput time delay on the range of allowable controller parameters is investigated. The allowable PID controller parameters are determined from a small gain type of argument used earlier for finite dimensional plants.EnglishController synthesisFractional order systemsPID controllerStability analysisTime delayController parameterController synthesisFinite dimensionalFractional-order systemsInput-outputLinear time invariant plantPID controller designPID controllersSmall gainStability analysisControllersElectric control equipmentLaplace transformsRational functionsTime delayThree term control systemsArticle10.1016/j.sysconle.2011.09.011