Actas de congresos
Robust Pid Design For Second-order Processes With Time-delay And Structured Uncertainties.
Registro en:
9783902661937
Ifac Proceedings Volumes (ifac-papersonline). , v. 18, n. PART 1, p. 4614 - 4619, 2011.
14746670
10.3182/20110828-6-IT-1002.00279
2-s2.0-84866747572
Autor
Parada M.
Borges R.A.
Sbarbaro D.
Peres P.L.D.
Institución
Resumen
This paper deals with the problem of PID design for continuous-time systems with time delays. The system is assumed to be free of parametric disturbances and affected by a time-invariant discrete delay of known magnitude. The robustness of the PID control with respect to structured uncertainties is investigated with the small-gain theorem and better performance is sought through the minimization of an upper bound to the closed-loop system H ∞ norm. A Lyapunov-Krasovskii type functional is used yielding delay-dependent design conditions. The controller design is accomplished by means of a convex optimization procedure formulated using linear matrix inequalities (LMIs). Numerical experiments are provided to illustrate the main characteristics of the proposed design method. The particular case of a recycle process controller is addressed. © 2011 IFAC. 18 PART 1 4614 4619 Asröm, K.J., Hägglund, T., (1995) PID Controllers, , Instrument Society of America Boyd, S., El Ghaoui, K., Feron, E., Balakrishnan, V., Linear matrix inequality in systems and control theory (1994) Studies in Applied Mathematics, , SIAM, Philadelphia Ge, M., Chiu, M., Wang, Q., Robust PID controller design via LMI approach (2002) Journal of Process Control, 12, pp. 3-13 Grassi, E., Tsakalis, K., Pid controller tuning by frequency loop-shaping: Application to diffusion furnace temperature control (2000) IEEE Transactions on Control Systems Technology, 8 (5). , September Gu, K., An integral inequality in the stability problem of timedelay systems (2000) Proc. 39th IEEE Conf. Decision Contr., 3, pp. 2805-2810. , Sydney, Australia, December Hara, S., Iwasaki, T., Shiokata, D., Robust PID control using generalized KYP synthesis (2006) IEEE Control Systems Magazine, pp. 80-91. , February Hohenbichler, N., All stabilizing PID controllers for time delay systems (2009) Automatica, , doi:10.1016/j.automatica.2009.07.026 Löfberg, J., YALMIP: A toolbox for modeling and optimization in MATLAB (2004) Proc. 2004 IEEE Int. Symp. on Comput. Aided Control Syst. Des., pp. 284-289. , http://control.ee.ethz.ch/joloef/yalmip.php, Taipei, Taiwan, September Madhuranthakam, C.R., Elkamel, A., Budman, H., Optimal tuning of PID controllers for FOPTD, SOPTD and SOPTD with lead processes (2008) Chemical Engineering and Processing, 47, pp. 251-264 Martelli, G., Stability of PID-controlled second-order time-delay feedback systems (2009) Automatica, , doi:10.1016/j.automatica.2009.05.031 O'Dwyer, A., PI and PID controller tuning rule design for processes with delay, to achieve constant gain and phase margins for all values of delay (2001) Proceedings of the Irish Signals and Systems Conference, pp. 96-101. , National University of Ireland, Maynooth, June Panda, R.C., Yu, C., Huang, H., PID tuning rules for SOPDT systems: Review and some new results (2004) ISA Transactions, 43, p. 283295 Rem, J., Zhang, Q., Robust H ∞ control for uncertain descriptor system by proportional-derivative state feedback (2010) International Journal of Control, 83 (1), pp. 89-96. , January Rosinová, D., Veselý, V., Robust PID decentralized controller design using LMI (2007) International Journal of Computers, Communications & Control, 3 (2), pp. 195-204 Saeki, M., Fixed structure PID controller design for standard H ∞ control problem (2006) Automatica, , doi:10.1016/j.automatica.2005.07.006 Shamsuzzoha, M., Lee, M., Design of advanced PID controller for enhanced disturbance rejection of second-order processes with time delay (2008) AIChE Journal, 54 (6) Sturm, J.F., Using SeDuMi 1.02, a MATLAB toolbox for optimization over symmetric cones (1999) Optim. Method Softw., 11-12, pp. 625-653. , http://sedumi.mcmaster.ca/ Ziegler, J.G., Nichols, N.B., Optimum settings for automatic controllers (1942) Transactions of the ASME, 64, pp. 759-768 Zhou, K., Doyle, J.C., Glover, K., Robust and optimal control (1996) Upper Saddle River, , NJ USA: Prentice Hall