TY - GEN

T1 - Time-Domain Model Matching Under General Norms via Sparse Matrix Methods

AU - Handler, Johannes

AU - Harker, Matthew

AU - Rath, Gerhard

N1 - Conference code: 12

PY - 2023/6/6

Y1 - 2023/6/6

N2 - This paper presents a new approach to the task of time-domain model matching for state-space systems. The traditional problem formulation of designing a controller to match a reference model is relaxed to matching only a desired reference response. The presented algorithm then computes the feedback gain that delivers the best fit solution to the reference response under general norms. Additionally, the proposed discretization approach enables the employment of sparse matrix methods which enables a numerically efficient implementation. The new method is successfully verified using a random system. Additionally, an application example involving a simplified gantry crane system is presented, showcasing the practicality of the approach. Overall, the new method provides an intuitive and numerically efficient solution to the problem of time-domain model matching for state-space systems.

AB - This paper presents a new approach to the task of time-domain model matching for state-space systems. The traditional problem formulation of designing a controller to match a reference model is relaxed to matching only a desired reference response. The presented algorithm then computes the feedback gain that delivers the best fit solution to the reference response under general norms. Additionally, the proposed discretization approach enables the employment of sparse matrix methods which enables a numerically efficient implementation. The new method is successfully verified using a random system. Additionally, an application example involving a simplified gantry crane system is presented, showcasing the practicality of the approach. Overall, the new method provides an intuitive and numerically efficient solution to the problem of time-domain model matching for state-space systems.

U2 - 10.1109/MECO58584.2023.10155005

DO - 10.1109/MECO58584.2023.10155005

M3 - Conference contribution

BT - 2023 12th Mediterranean Conference on Embedded Computing (MECO)

T2 - 12th Mediterranean Conference on Embedded Computing (MECO)

Y2 - 6 June 2023 through 10 June 2023

ER -