TY - GEN
T1 - An approximate internal model principle
T2 - 17th World Congress, International Federation of Automatic Control, IFAC
AU - Andrews, Burton
AU - Sontag, Eduardo D.
AU - Iglesias, Pablo A.
PY - 2008
Y1 - 2008
N2 - The proper function of many biological systems requires that external perturbations be detected, allowing the system to adapt to these environmental changes. It is now well established that this dual detection and adaptation requires that the system have an internal model in the feedback loop. In this paper we relax the requirement that the response of the system adapt perfectly, but instead allow regulation to within a neighborhood of zero. We show, in a nonlinear setting, that systems with the ability to detect input signals and approximately adapt require an approximate model of the input. We illustrate our results by analyzing a well-studied biological system. These results generalize previous work which treats the perfectly adapting case.
AB - The proper function of many biological systems requires that external perturbations be detected, allowing the system to adapt to these environmental changes. It is now well established that this dual detection and adaptation requires that the system have an internal model in the feedback loop. In this paper we relax the requirement that the response of the system adapt perfectly, but instead allow regulation to within a neighborhood of zero. We show, in a nonlinear setting, that systems with the ability to detect input signals and approximately adapt require an approximate model of the input. We illustrate our results by analyzing a well-studied biological system. These results generalize previous work which treats the perfectly adapting case.
KW - Design and control
KW - Monitoring and performance assessment
KW - Nonlinear process control
UR - http://www.scopus.com/inward/record.url?scp=79961019487&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=79961019487&partnerID=8YFLogxK
U2 - 10.3182/20080706-5-KR-1001.0568
DO - 10.3182/20080706-5-KR-1001.0568
M3 - Conference contribution
AN - SCOPUS:79961019487
SN - 9783902661005
T3 - IFAC Proceedings Volumes (IFAC-PapersOnline)
BT - Proceedings of the 17th World Congress, International Federation of Automatic Control, IFAC
Y2 - 6 July 2008 through 11 July 2008
ER -