The majority of existing Networked Control Sys-
tems (NCS) models are discrete-time formulations based on the
exact discretization of the continuous-time linear plant over a
sample interval. In the state-space formalism, standard control
textbooks suggest that a simple approach to model discrete-time
LTI systems with time delay shorter or equal than the sampling
period is to extend the state vector with a new state variable
representing the last control signal, which implies increasing the
order...
The majority of existing Networked Control Sys-
tems (NCS) models are discrete-time formulations based on the
exact discretization of the continuous-time linear plant over a
sample interval. In the state-space formalism, standard control
textbooks suggest that a simple approach to model discrete-time
LTI systems with time delay shorter or equal than the sampling
period is to extend the state vector with a new state variable
representing the last control signal, which implies increasing the
order of the model by one. In this paper an alternative state-sp
ace
model for discrete-time LTI systems with time delay is introduced
that does not require increasing the order of the model. The
relation between both the standard model and the new model
is established, and the potential benefits of the new model with
respect to the standard one are discussed. Numerical examples
illustrate the concepts discussed throughout the paper.
The majority of existing Networked Control Systems (NCS) models are discrete-time formulations based on the exact discretization of the continuous-time linear plant over a sample interval. In the state-space formalism, standard control
textbooks suggest that a simple approach to model discrete-time LTI systems with time delay shorter or equal than the sampling
period is to extend the state vector with a new state variable representing the last control signal, which implies increasing the
order of the model by one. In this paper an alternative state-space model for discrete-time LTI systems with time delay is introduced that does not require increasing the order of the model. The relation between both the standard model and the new model
is established, and the potential benefits of the new model with respect to the standard one are discussed. Numerical examples illustrate the concepts discussed throughout the paper.
Citation
Torres, G. [et al.]. An alternative discrete-time model for networked control systems with time delay less than the sampling period. A: Annual Conference of the IEEE Industrial Electronics Society. "Proceedings of the IECON 2013 - 39th Annual Conference of the IEEE Industrial Electronics Society". Vienna: 2013, p. 5626-5631.