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Controlled balanced growth of positive linear discrete-time systems

Rumchev V.G., James D.J.G.

Systems Science

2003

Vol. 29, nr 1

5-14

In this paper properties of M-matrices are used to develop procedures to ensure that a positive discrete-time linear system achieves a specified desired balanced growth rate. Both closed-loop and open-loop control procedures are considered, with state feedback being adopted for implementing the closed-loop control. Procedures developed are illustrated by simple examples.

Cohort-type models and their reachability and controllability properties.

James D.J.G., Rumchev V.G.

Systems Science

2000

Vol. 26, nr 2

43-54

Cohort-type models have a wealth of structure and are important in many fields of application. Being a sub-class of linear positive systems, such a model structure belongs to this class of constrained linear systems which are defined on cones and not on linear spaces. As a consequence much of the theory developed for linear systems is not directly applicable. Whilst the dynamics of cohort-type models. Are well understood their reachability and controllability properties have received little attention in the literature. Using a graph-theoretic characterisation the paper examines these fundamental properties and includes application to some specific models.

Hybrid estimation algorithm for bilinear self-tuning control.

Dunoyer A., Balmer L., Burnham K. J., James D. J. G.

Systems Science

1998

Vol. 24, nr 4

29-35

By exploiting the input dependent nature of the parameters of a discrete-time bilinear model structure, the paper combines knowledge of both discrete and continuous model parameters to form a hybrid approach to self-tuning controller design. With consideration given to an identified bilinear model of a high temperature heating plant application the appropriateness of the hybrid approach is demonstrated. In particular it is shown that the hybrid approach may be used to advantage within a Kalman filtering prediction/correction parameter estimation scheme. Practical issues relating to implementation of the approach are also discussed.