Abstract
Every process is having uncertainty, affects the performance of the system, even breakdown. Hence the uncertainty has to be analyzed seriously. In this paper, the parametric uncertainty is determined using multiple experiment method for a highly non linear plant. An unstable bioreactor is considered as a nonlinear process for the analysis. It is having various uncertainties in the process parameter. Substrate feed and surrounding temperature are the sources of external parametric uncertainty; also the specific growth rate and dilution rate are the internal parametric uncertainty. Overall uncertainty is determined using Monte Carlo method and the results were compared with the standard methods. Simulation results addresses that the effect of various uncertainties in the biomass concentration. A robust PID controller was designed for both stable and unstable conditions using Particle swarm optimization (PSO) algorithm, which control the system effectively when the uncertain parameter varies within the specified range. Controller performances were analyzed for various uncertainties range using MATLAB Simulink and estimated the sensitivity of each parameter individually and combined.
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References
Lew, J.S., Horta, L.G.: Uncertainty quantification using interval modeling with performance sensitivity. Elsevier Science 338(1-2), 330–336 (2007)
ISO, Guide to the Expression of Uncertainty in Measurement, 1st edn. (1993) ISBN 92-67- 10188-9
Stern, F., Muste, M., Beninati, M.-L., Eichinger, W.E.: Summary of experimental uncertainty assessment methodology with example. IIHR Technical Report No. 406
Coleman, H.W., Glenn Steele, W.: Experimentation, Validation, and Uncertainty Analysis for Engineers
Adams, T.M.: A Guide for Estimation of Measurement Uncertainty in Testing (July 2002)
Coleman, H.W., Steele, W.G.: Experimentation and Uncertainty Analysis for Engineers, 2nd edn. John Wiley & Sons (1999)
Hargreaves, G.I.: Interval Analysis in MATLAB. Numerical Analysis Report (416) (December 2002)
Hsu, C.-C., Chang, S.-C., Yu, C.-Y.: Tolerance design of robust controllers for uncertain interval systems based on evolutionary algorithms. IET Control Theory Appl. 1(1), 244–252 (2007)
Tan, N., Atherton, D.P.: Stability and performance analysis in an uncertain world. IEE Computing and Control Engg. Journal, 91–101 (April 2000)
Rajinikanth, V., Latha, K.: Optimization of PID Controller Parameters for Unstable Chemical Systems Using Soft Computing Technique. International Review of Chemical Engineering 3, 350–358 (2011)
Jana, A.K.: Chemical process modeling computer Simulation. Printice hall of India (2008)
Carlsson, B.: An introduction to modeling of bioreactors (March 24, 2009)
Wayne Bedquette, B.: Process Control Modeling, Design and Simulation. PHI Learning Pvt. Ltd. (2010)
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Babu, T., Pappa, N. (2013). Uncertainty Quantification and Sensitivity Analysis for a Nonlinear Bioreactor. In: Unnikrishnan, S., Surve, S., Bhoir, D. (eds) Advances in Computing, Communication, and Control. ICAC3 2013. Communications in Computer and Information Science, vol 361. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-36321-4_60
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DOI: https://doi.org/10.1007/978-3-642-36321-4_60
Publisher Name: Springer, Berlin, Heidelberg
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