Title :
Internal model control of infinite dimensional systems
Author :
Kishida, Masako ; Braatz, Richard D.
Author_Institution :
Dept. of Mech. Sci. & Eng., Univ. of Illinois at Urbana-Champaign, Urbana, IL, USA
Abstract :
An internal model control (IMC) design method is proposed that is applicable to linear infinite-dimensional systems. An infinite-dimensional filter is coupled with the inverse of the irrational transfer function between the process input and output, to produce a physically realizable controller with a tuning parameter to trade off nominal performance with robustness. The proposed IMC design technique is applied to two boundary control problems for mass transport described by partial differential equations, in which the proposed method provides much better robust performance compared to regular IMC design applied to the finite-dimensional approximation of the transfer function.
Keywords :
linear systems; multidimensional systems; partial differential equations; transfer functions; IMC design method; boundary control problems; finite-dimensional approximation; infinite dimensional systems; infinite-dimensional filter; internal model control; irrational transfer function; linear infinite-dimensional systems; mass transport; partial differential equations; robust performance; tuning parameter; Control design; Control systems; Design methodology; Differential equations; Low pass filters; Optimal control; Partial differential equations; Robust control; Transfer functions; Weight control;
Conference_Titel :
Decision and Control, 2008. CDC 2008. 47th IEEE Conference on
Conference_Location :
Cancun
Print_ISBN :
978-1-4244-3123-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2008.4739249