Robust proportional-integral-derivative design for processes with interval parametric uncertainty

Pedro Mercader, Alfonso Baños, Ramón Vilanova

Research output: Contribution to journalArticleResearchpeer-review

7 Citations (Scopus)


© The Institution of Engineering and Technology 2017. A novel method for designing proportional-integral-derivative controllers for processes containing interval parametric uncertainty is presented. The control design problem is posed as an optimisation problem where performance is maximised subject to some stability margins over a family of transfer functions. The resulting problem falls within the category of robust optimisation (RO) problems. The authors derive conditions that allow to obtain a solution to the RO problem by solving a nominal optimisation problem (in some cases at the expense of introducing some conservatism). This simplification is made by introducing an instrumental fractional-order plant that characterises the uncertain (interval) process and stating certain conditions over the fractional-order loop transfer function. The design approach is also applied to a Smith-predictor-based deadtime compensator. Some examples are given throughout this study to illustrate the proposed design method.
Original languageEnglish
Pages (from-to)1016-1023
JournalIET Control Theory and Applications
Issue number7
Publication statusPublished - 25 Apr 2017


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