Computing stability domains in the space of time delay and controller coefficients for FOPDT and SOPDT systems |
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| Affiliation: | 1. Institute of Advanced Control Technology, Dalian University of Technology, Dalian 116024, PR China;2. Institute of Particle Science and Engineering, School of Process, Environmental and Materials Engineering, University of Leeds, Leeds LS2 9JT, UK;3. School of Chemistry and Chemical Engineering, South China University of Technology, Guangzhou 510640, PR China;4. Department of Chemical Engineering, Chung-Yuan Christian University, Chung-Li, 32023, Taiwan;1. Department of Mathematics, University of Stuttgart, Germany;2. Department of Mechanical Eng., Boğazici University, Istanbul, Turkey;1. University of Brighton, United Kingdom;2. University of Kent, United Kingdom;1. Department of Electrical & Computer Engineering, University of Sharjah, United Arab Emirates;2. King Abdulaziz University, Saudi Arabia;3. L2CSP Laboratory, Mouloud Mammeri University, Tizi Ouzou, Algeria |
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| Abstract: | In this paper, a method is proposed to compute the maximum allowable time delay for first-order plus dead time and second-order plus dead time systems, in order to maintain stability. Designing first order controllers for such systems to preserve stability for a longer time delay is the main aim of this paper. The procedure uses the properties of the phase diagram of the open-loop transfer functions of such systems. The effects of the variation of the controller coefficients on the maximum allowable time delay of the systems are investigated and the stability domains in the space of the uncertain delay and the controller coefficients are computed. The results can be used to design first-order robust controllers for first and second order processes containing uncertain delays. |
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| Keywords: | Maximum allowable time delay Nyquist plot Phase diagram Uncertain delay |
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