a Department of Electrical and Computer Engineering, University of Alberta, Edmonton, AB, Canada T6G 2V4
b Department of Chemical and Materials Engineering, University of Alberta, Edmonton, AB, Canada T6G 2G6
Abstract:
In this paper, we study digital control systems with non-uniform updating and sampling patterns, which include multirate sampled-data systems as special cases. We derive lifted models in the state-space domain. The main obstacle for generalized predictive control (GPC) design using the lifted models is the so-called causality constraint. Taking into account this design constraint, we propose a new GPC algorithm, which results in optimal causal control laws for the non-uniformly sampled systems. The solution applies immediately to multirate sampled-data systems where rates are integer multiples of some base period.