TY - GEN
T1 - Control of MIMO Time-Delay Processes Having Disturbances with Time Delays
AU - Rojas-Moreno, Arturo
N1 - Publisher Copyright:
© 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.
PY - 2022
Y1 - 2022
N2 - This work deals with the control of continuous-time MIMO (Multiple Input Multiple Output) time-delay processes having multiple disturbances acting on the process outputs. Such disturbances possess time delays that can be modeled using the Laplace operator. A discrete-time PI (Proportional Integral) LQG (Linear Quadratic Gaussian) controller is designed to control such time-delay processes. As a matter of fact, an LQG controller results from the combination of an LQR (Linear Quadratic Regulator) controller with a Kalman filter to estimate process states. An LQR controller is selected for the following reasons. First, such a controller secures an infinite gain margin and a phase margin of about 60 ∘ C. Consequently, robustness and disturbance rejection ability are some of the characteristics of an LQR controller. Intensive simulation studies related to the application of the proposed approach on benchmark time-delay processes demonstrate that the outputs of MIMO processes can be controlled simultaneously despite the presence of disturbances possessing time delays, which are acting on the process outputs.
AB - This work deals with the control of continuous-time MIMO (Multiple Input Multiple Output) time-delay processes having multiple disturbances acting on the process outputs. Such disturbances possess time delays that can be modeled using the Laplace operator. A discrete-time PI (Proportional Integral) LQG (Linear Quadratic Gaussian) controller is designed to control such time-delay processes. As a matter of fact, an LQG controller results from the combination of an LQR (Linear Quadratic Regulator) controller with a Kalman filter to estimate process states. An LQR controller is selected for the following reasons. First, such a controller secures an infinite gain margin and a phase margin of about 60 ∘ C. Consequently, robustness and disturbance rejection ability are some of the characteristics of an LQR controller. Intensive simulation studies related to the application of the proposed approach on benchmark time-delay processes demonstrate that the outputs of MIMO processes can be controlled simultaneously despite the presence of disturbances possessing time delays, which are acting on the process outputs.
KW - Discrete-time PI LQG control
KW - Kalman filter
KW - LQG control
KW - MIMO time-delay process
UR - http://www.scopus.com/inward/record.url?scp=85135095313&partnerID=8YFLogxK
U2 - 10.1007/978-3-031-08545-1_42
DO - 10.1007/978-3-031-08545-1_42
M3 - Conference contribution
AN - SCOPUS:85135095313
SN - 9783031085444
T3 - Smart Innovation, Systems and Technologies
SP - 443
EP - 451
BT - Proceedings of the 7th Brazilian Technology Symposium, BTSym 2021 - Emerging Trends in Systems Engineering Mathematics and Physical Sciences
A2 - Iano, Yuzo
A2 - Saotome, Osamu
A2 - Kemper Vásquez, Guillermo Leopoldo
A2 - Cotrim Pezzuto, Claudia
A2 - Arthur, Rangel
A2 - Gomes de Oliveira, Gabriel
PB - Springer Science and Business Media Deutschland GmbH
T2 - 7th Brazilian Technology Symposium, BTSym 2021
Y2 - 8 November 2021 through 10 November 2021
ER -