Stabilization and PID tuning algorithms for second-order unstable processes with time-delays |
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Affiliation: | 1. Department of Chemical Engineering, Curtin University, 98009 Miri, Sarawak, Malaysia;2. Curtin Sarawak Research Institute, Curtin University, 98009 Miri, Sarawak, Malaysia |
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Abstract: | Open-loop unstable systems with time-delays are often encountered in process industry, which are often more difficult to control than stable processes. In this paper, the stabilization by PID controller of second-order unstable processes, which can be represented as second-order deadtime with an unstable pole (SODUP) and second-order deadtime with two unstable poles (SODTUP), is performed via the necessary and sufficient criteria of Routh-Hurwitz stability analysis. The stability analysis provides improved understanding on the existence of a stabilizing range of each PID parameter. Three simple PID tuning algorithms are proposed to provide desired closed-loop performance-robustness within the stable regions of controller parameters obtained via the stability analysis. The proposed PID controllers show improved performance over those derived via some existing methods. |
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Keywords: | PID tuning Unstable processes Stability analysis Time-delay |
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