Title :
Relation between First Order Dynamic Parameters with Pi Control Parameters in Nash Equilibrium
Author :
Vargas-Gonzales, S. ; Rodriguez-Jimenes, G.C. ; Garcia-Alvarado, M.A. ; Carrillo-Ahumada, J.
Author_Institution :
Chem. & Biochem. Eng. Dept., Inst. Tecnol. de Veracruz, Veracruz, Mexico
Abstract :
The geometric place of the relation between PI control parameters in Nash equilibrium with respect to dynamic parameters of a first order system was built. The Nash equilibrium was calculated with squared sum of error and squared sum of control signal as players, and the control parameter values as strategies. The geometric place allows the conjecture that exist an homeomorphism. The performance of the regulator in Nash equilibrium is shown.
Keywords :
PI control; game theory; optimal control; robust control; Nash equilibrium; PI control parameter values; first order dynamic parameters; first order system; geometric place; homeomorphism; optimal control; robust control; squared sum of control signal; squared sum of error; Chemical engineering; MIMO; Nash equilibrium; Process control; Regulators; Robustness; Nash equilibrium; first order system; optimal and robust control;
Conference_Titel :
Mechatronics, Electronics and Automotive Engineering (ICMEAE), 2013 International Conference on
Conference_Location :
Morelos
Print_ISBN :
978-1-4799-2252-9
DOI :
10.1109/ICMEAE.2013.21
