Optimal Choice of Weighting Factors in Adaptive Linear Quadratic Control
doi: 10.1007/s11633-014-0786-5
Optimal Choice of Weighting Factors in Adaptive Linear Quadratic Control
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摘要: Most of the processes in the industry have nonlinear behavior. Control of such processes with conventional control methods could lead to unstable, suboptimal, etc., results. On the other hand, the adaptive control is a technique widely used for controlling of nonlinear systems. The approach here is based on the recursive identification of the external linear model as a linear representation of the originally nonlinear system. The controller then reacts to the change of the working point or disturbances which could occur by the change of the parameters, structure, etc. The polynomial synthesis together with the linear quadratic (LQ) approach is employed here for the controller synthesis. These techniques satisfy basic control requirements such as the stability, the reference signal tracking and the disturbance attenuation. Resulted controller could be tuned with the choice of weighting factors in LQ approach. This work investigates the effect of these factors on control results. Proposed methods are tested on the mathematical model of the isothermal continuous stirred-tank reactor and simulated results are also verified on the real model of the continuous stirred tank reactor.Abstract: Most of the processes in the industry have nonlinear behavior. Control of such processes with conventional control methods could lead to unstable, suboptimal, etc., results. On the other hand, the adaptive control is a technique widely used for controlling of nonlinear systems. The approach here is based on the recursive identification of the external linear model as a linear representation of the originally nonlinear system. The controller then reacts to the change of the working point or disturbances which could occur by the change of the parameters, structure, etc. The polynomial synthesis together with the linear quadratic (LQ) approach is employed here for the controller synthesis. These techniques satisfy basic control requirements such as the stability, the reference signal tracking and the disturbance attenuation. Resulted controller could be tuned with the choice of weighting factors in LQ approach. This work investigates the effect of these factors on control results. Proposed methods are tested on the mathematical model of the isothermal continuous stirred-tank reactor and simulated results are also verified on the real model of the continuous stirred tank reactor.
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[1] K. J. Åström, B. Wittenmark. Adaptive Control, Reading MA: Addison-Wesley, 1989. [2] V. Bobál, J. Böm, J. Fessl, J.Machácek. Digital Self-tuning Controllers: Algorithms, Implementation and Applications, London: Springer-Verlag, 2005. [3] R. H. Middleton, G. C. Goodwin. Digital Control and Estimation-A Unified Approach, Englewood Cliffs: Prentice Hall, 2004. [4] V. Kucera. Diophantine equations in control-A survey. Automatica, vol. 29, no. 6, pp. 1361-1375, 1993. [5] J. Ingham, I. J. Dunn, E. Heinzle, J. E. Prenosil. Chemical Engineering Dynamics, An Introduction to Modeling and Computer Simulation, 2nd ed., Weinheim: VCH Verlag sgesellshaft, 2000. [6] R. L. Johnston. Numerical Methods, New York: John Wiley & Sons, 1982. [7] N. K. Sinha. Identification of continuous-time systems from samples of input-output data using the δ-operator. Control Theory and Advanced Technology, vol. 9, pp. 113-125, 1993. [8] K. J. Hunt, V. Kucera, M. Sebek. Optimal regulation using measurement feedback: A polynomial approach. IEEE Transactions on Automation Control, vol. 37, no. 5, pp. 682-685, 2002. [9] G. P. Rao, H. Unbehauen. Identification of continuous-time systems. IEE Proceedings: Control Theory & Application, vol. 152, no. 2, pp. 185-220, 2005. [10] J. Vojtesek, P. Dostal. Use of nonlinear theory in adaptive control of chemical reactor. In Proceedings of International Workshop on Applied Modeling and Simulation (WAMS 2012), Rome, Italy, pp. 5-13, 2012. [11] J. Vojtesek, P. Dostal. Adaptive LQ approach used in conductivity control inside continuous-stirred tank reactor. In Proceedings of the 17th IFAC World Congress, IFAC, COEX, Korea, South, pp. 12929-12934, 2008. [12] J. Vojtesek, P. Dostal. Effect of weighting factors in adaptive LQ control. In Proceedings of Nostradamus 2013: Prediction, Modeling & Analysis of Complex Systems, Springer, Ostrava, Czech Republic, pp. 265-274, 2013. -
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