Title :
Closed-loop time-domain model validation in the nu-gap metric
Author :
Steele, John H. ; Vinnicombe, Glenn
Author_Institution :
Dept. of Eng., Cambridge Univ., UK
Abstract :
We consider experimental (in)validation of a nominal discrete-time model by determining if observed input/output data is consistent with a system within a given ν-gap distance from the model (in light of given constraints on possible input and output noise). The general problem has been shown to be NP-hard; however we present linear matrix inequality (LMI) sufficient conditions for model consistency along with LMI necessary and sufficient conditions for invalidation with respect to a special class of input/output noise. A logical extension which considers time-varying perturbations of the nominal model is presented in parallel with the time-invariant ν-gap results
Keywords :
closed loop systems; computational complexity; discrete time systems; matrix algebra; modelling; noise; time-domain analysis; time-varying systems; ν-gap distance; I/O data; I/O noise; LMI; NP-hard problem; closed-loop time-domain model validation; experimental invalidation; experimental validation; input/output noise; linear matrix inequality; model consistency conditions; necessary and sufficient conditions; nominal discrete-time model; nu-gap metric; observed input/output data; time-varying perturbations; Colored noise; Convolution; Ear; Linear matrix inequalities; Robust control; Sufficient conditions; Time domain analysis; Time varying systems; Transfer functions; Uncertainty;
Conference_Titel :
Decision and Control, 2001. Proceedings of the 40th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-7061-9
DOI :
10.1109/.2001.980882
