TY - GEN
T1 - Exploring LQI Control in Sampled-Data Systems
T2 - 12th IEEE Andescon, ANDESCON 2024
AU - Severino, Luis
AU - Sanhueza, Fernando
AU - Peters, Andres
AU - Vargas, Francisco
N1 - Publisher Copyright:
© 2024 IEEE.
PY - 2024
Y1 - 2024
N2 - This work aims to numerically study the impact of implementing a discrete-time Linear Quadratic Integral (LQI) controller. The discrete-time controller is based on a previously designed continuous-time one. The precision of this implementation is assessed by comparing the cost function of the continuous-time controller with the results obtained from implementing a discrete-time controller in a sampled-data feedback loop. Our analysis explores the effects of discretisation using various integral approximations and different sampling times. Our simulations show a disparity between continuous and sampled-data system costs for insufficiently low sampling periods, along with how the performance of the integration methods depends on the chosen weighting matrices. This research highlights the challenges and considerations in transitioning from continuous-time to discrete-time control.
AB - This work aims to numerically study the impact of implementing a discrete-time Linear Quadratic Integral (LQI) controller. The discrete-time controller is based on a previously designed continuous-time one. The precision of this implementation is assessed by comparing the cost function of the continuous-time controller with the results obtained from implementing a discrete-time controller in a sampled-data feedback loop. Our analysis explores the effects of discretisation using various integral approximations and different sampling times. Our simulations show a disparity between continuous and sampled-data system costs for insufficiently low sampling periods, along with how the performance of the integration methods depends on the chosen weighting matrices. This research highlights the challenges and considerations in transitioning from continuous-time to discrete-time control.
KW - Integral Approximation
KW - Linear Quadratic Integral control
KW - Sampled-data systems
UR - http://www.scopus.com/inward/record.url?scp=85211943033&partnerID=8YFLogxK
U2 - 10.1109/ANDESCON61840.2024.10755529
DO - 10.1109/ANDESCON61840.2024.10755529
M3 - Conference contribution
AN - SCOPUS:85211943033
T3 - IEEE Andescon, ANDESCON 2024 - Proceedings
BT - IEEE Andescon, ANDESCON 2024 - Proceedings
PB - Institute of Electrical and Electronics Engineers Inc.
Y2 - 11 September 2024 through 13 September 2024
ER -