Title :
Design of H2-optimal, finite word length, PID controllers
Author :
Collins, Emmanuel G., Jr. ; Zhao, Yanan
Author_Institution :
Dept. of Mech. Eng., Florida A&M Univ., Tallahassee, FL, USA
Abstract :
This paper uses genetic algorithms to find finite word length (FWL) controllers for fixed-point or floating-point implementation that optimize a cost function that is equivalent to an H2 norm if the FWL effects are ignored. The formulation enables the consideration of all sources of FWL errors, i.e., coefficient, input and output quantization effects, and the roundoff error of the arithmetic operations. Simulation results illustrate the effectiveness of the methodology in developing a FWL PID control law for a steel rolling mill
Keywords :
H∞ control; control system CAD; genetic algorithms; roundoff errors; three-term control; FWL PID control law development; FWL controllers; FWL errors; H2 norm; H2-optimal finite word length PID controller design; arithmetic operations; coefficient errors; cost function optimization; fixed-point implementation; floating-point implementation; genetic algorithms; input quantization effects; output quantization effects; roundoff error; steel rolling mill; Control systems; Cost function; Fixed-point arithmetic; Genetic algorithms; Matrices; Optimal control; Quantization; Roundoff errors; Three-term control; Transfer functions;
Conference_Titel :
American Control Conference, 2000. Proceedings of the 2000
Conference_Location :
Chicago, IL
Print_ISBN :
0-7803-5519-9
DOI :
10.1109/ACC.2000.876630
