A Comparative Analysis of Nonlinear Control Approaches for Non-Minimum Phase Processes
World Congress, Volume # 17 | Part# 1
Authors
Ramírez Estay, Héctor Miguel; Sbarbaro, Daniel G.
Identifier
10.3182/20080706-5-KR-1001.01855
Index Terms
Nonlinear process control; Design and control; Process modeling and identification
Abstract
The control of nonlinear non-minimum phase processes by using traditional geometric approaches has lead to the development of specific design methods, such as the statically equivalent output approach. On the other hand, alternative design methods based on physical models, energy and mass balances, and the concept of passivity have been applied to a wide range of electrical and electromechanical systems. However, their application to process control has been limited. In this work, a comparative analysis of both design control approaches is presented. A standard continuous stirred tank reactor example is used to illustrate the differences among the approaches and the performances attained in both cases.
References
R. Antonelli and A. Astolfi. Continuous stirred tank reactors: easy to stabilise? Automatica, 39:1817�1827, 2003. J.A. Ball, M. Petersen, and A. van der Schaft. Inner-outer factorization for nonlinear noninvertible systems. IEEE Transactions on Automatic Control, 49:483�492, 2004. M. Guay, D. Dochain, and M. Perrier. Adaptive extremum-seeking control of nonisothermal continuous stirred tank reactors. Chemical Engineering Science, 60: 3671�3681, 2005. J. Johnsen and F. Allg�ower. Interconnection and damping assignment passivity-based control of a four-tank system. In F. Bullo and K. Fujimoto, editors, Preprints of the IFAC 3rd Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control, volume 60, pages 69�74. 2006. M.P. Niemiec and C. Kravaris. Nonlinear model-state feedback control for nonminimum-phase processes. Au- tomatica, 60:3671�3681, 2003. R. Ortega and E. Garc�a-Canseco. Interconnection and damping assignment-passivity based control: A survey. European Journal of Control, 10:432�450, 2004. R. Ortega, A. van der Schaft, B. Maschke, and G. Escobar. Interconnection and damping assignment passivity based control of port-controlled hamiltonian systems. Automatica, 38:585�596, 2002. H. Ram�rez. Design of ida-pb controllers for mimo nonlinear processes. Master�s thesis, Universidad de Concepci�n, Chile, 2008. D. Sb�arbaro and R. Ortega. Averaging level control of multiple tanks: A passivity based approach. Proceedings of the IEEE Decision and Control Conference, 12:7384� 7389, 2005. H. Sira-Ram�rez and M.I. Angulo-Nunez. Passivity-based control of nonlinear chemical processes. International Journal of Control, 68:971�996, 1997. A. van der Schaft. Port-hamiltonian systems: network modeling and control of nonlinear physical systems. In H. Irschik and K. Schlacher, editors, Advanced Dynam- ics and Control of Structures and Machines, pages 127� 168. Springer, New York, 2004.
