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As is well known, stability is an important requirement for control systems. Due to the nature of time-delay processes, common methods to evaluate stability may be difficult to use. In 1938, Mikhailov proved a frequency response criterion, which is sufficient and necessary for the stability of processes described by known n-th order constant coefficient linear differential equations. This paper presents the Mikhailov method and the application of this method to a Smith predictor structure controlled by a PI controller.
Sourdille, Pauline and O'Dwyer, Aidan and Coyle, Eugene : Smith predictor structure stability analysis using Mikhailov stability criterion. Proceedings of the 4th Wismarer Automatisierungssymposium, Wismar, Germany, September 22-23.