TY - GEN
T1 - Periodic tracking control using gain-scheduled fourier series-based internal models
AU - Caverly, Dylan
AU - Caverly, Ryan James
AU - Forbes, James Richard
PY - 2019/1/1
Y1 - 2019/1/1
N2 - This paper presents a gain-scheduled controller composed of a number of positive real controllers that contain internal models of reference command signals. Using the internal model principle as inspiration, and the Passivity Theorem to assure input-output closed-loop stability, the proposed controller is designed to realize tracking while maintaining input-output stability of the closed-loop system. The gain-scheduled nature of the internal models allows for a number of internal models to be simultaneously implemented. In particular, by expressing a periodic reference command as a Fourier series, the first few Fourier modes can be included as internal models in the controllers to be gain-scheduled, which reduces steady-state tracking error. An example involving tracking the outlet temperature of a heat exchanger is presented, where the first nine Fourier modes of the reference signal are used as internal models to reduce tracking error.
AB - This paper presents a gain-scheduled controller composed of a number of positive real controllers that contain internal models of reference command signals. Using the internal model principle as inspiration, and the Passivity Theorem to assure input-output closed-loop stability, the proposed controller is designed to realize tracking while maintaining input-output stability of the closed-loop system. The gain-scheduled nature of the internal models allows for a number of internal models to be simultaneously implemented. In particular, by expressing a periodic reference command as a Fourier series, the first few Fourier modes can be included as internal models in the controllers to be gain-scheduled, which reduces steady-state tracking error. An example involving tracking the outlet temperature of a heat exchanger is presented, where the first nine Fourier modes of the reference signal are used as internal models to reduce tracking error.
UR - http://www.scopus.com/inward/record.url?scp=85076461512&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85076461512&partnerID=8YFLogxK
U2 - 10.1115/DSCC2019-8945
DO - 10.1115/DSCC2019-8945
M3 - Conference contribution
AN - SCOPUS:85076461512
T3 - ASME 2019 Dynamic Systems and Control Conference, DSCC 2019
BT - Rapid Fire Interactive Presentations
PB - American Society of Mechanical Engineers (ASME)
T2 - ASME 2019 Dynamic Systems and Control Conference, DSCC 2019
Y2 - 8 October 2019 through 11 October 2019
ER -