In this work we consider the problem of parametrizing the set of all stabilizing Linear Time-Invariant (LTI) controllers for multirate systems such that model matching is achieved with a desired transfer function. We consider those systems where the plant output can be measured at a rate (measurement update rate) slower than the control signal updates rate. The solution to the parametrization problem is provided for the two cases: (1) model matching at the control update rate, (2) model matching at the measurement update rate. Unlike model matching at the measurement update rate, model matching at the control update rate allows us to directly improve and characterize the transient response of the continuous-time system. Tools such as up-sampling and down-sampling operators, and modified Z-transforms are utilized to model the closed-loop multirate system and to parametrize the sets of LTI controllers.
- Dynamic Systems and Control Division
Parametrization of LTI Controllers for Multirate Systems
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Cimino, M, & Pagilla, PR. "Parametrization of LTI Controllers for Multirate Systems." Proceedings of the ASME 2010 Dynamic Systems and Control Conference. ASME 2010 Dynamic Systems and Control Conference, Volume 1. Cambridge, Massachusetts, USA. September 12–15, 2010. pp. 539-546. ASME. https://doi.org/10.1115/DSCC2010-4191
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