Input Signal Generation for Constrained Multiple-Input Multple-Output Systems
2014 (English)In: Proceedings of 19th World Congress of the International Federation of Automatic Control 2014, IFAC , 2014Conference paper (Refereed)
In this paper we extend a recent method for generating an input signal with a desired auto-correlation function while satisfying both input and output constraints for the system it is to be applied to. This is an important problem in system identication, firstly, the properties of the identified model is highly dependent on the used excitation signal during the experiment and secondly, on real processes, due to actuator saturation and safety considerations, it is important to constraint the input and output from the process. The proposed method corresponds to a nonlinear model predictive control problem and here we extend it to consider general input horizons and also to the multiple-input multiple-output case. In general this corresponds to solving a multivariate polynomial of order four in each time step. Here two dierent methods for solving this problem are considered: one based on convex relaxation and one based on a cyclic algorithm. The performance of the algorithm is successfully veried by simulations and the implications of dierent lengths of the input horizon is discussed.
Place, publisher, year, edition, pages
IFAC , 2014.
IdentifiersURN: urn:nbn:se:kth:diva-134782ScopusID: 2-s2.0-84929723604OAI: oai:DiVA.org:kth-134782DiVA: diva2:668032
IFAC 2014, 19th World Congress of the International Federation of Automatic Control
QC 201401072013-11-282013-11-282015-12-14Bibliographically approved