Optimization of sampled-data systems with finite-dimensional linear continuous periodic process and delay

• Applicant: Professor Dr.-Ing. Torsten Jeinsch, since 11/2016
• Subject Area: Automation, Mechatronics, Control Systems, Intelligent Technical Systems, Robotics
• Term: from 2016 to 2022
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 316189657

• Final Report Year: 2022

Final Report Abstract

As intended, the theory for the analysis, synthesis and optimization of SD systems with FDLCP process and delay was developed in the project on the basis of the concept of the parametric transfer matrix (PTM). While the special applicability of the PTM for the treatment of FDLCP systems was already known, a new path was taken with these developments for the system type ST . In detail, the following important results were achieved: (i) Derivation of the PTM of the closed loop system for different forms of synchronization. (ii) Development of conditions for the stabilizability of the system, finding the set of all causal stabilizing controllers, solving the modal control problem. (iii) Formulation of the H2 -norm of the system using the system function and development of the corresponding optimization algorithm. The computational implementation was carried out on the basis of our own Matlab-Toolbox DirectSD. Sample calculations were carried out which demonstrate the relevance of the methods.

Publications

• Causal Polynomial Pole Assignment and Stabilisation of SISO Strictly Causal Linear Discrete Processes. International Journal of Control, 92(6):1306–1313, 2019
  E. N. Rosenwasser, B. P. Lampe, W. Drewelow and T. Jeinsch
  
• Computer-Controlled Systems with Delay - A Transfer Function Approach. Springer International, 519 pages, ISBN: 978-3-030-15041-9, 2019
  E. N. Rosenwasser, B. P. Lampe and T. Jeinsch
  
• Low Frequency Sampled Data Modal Control and Stabilization of Linear Periodic Processes with Control Signal Delay. In 27th Mediterranean Conference on Control and Automation (MED), pages 624–629, Akko, Israel, Jul 2019
  E. N. Rosenwasser, W. Drewelow and T. Jeinsch
  
• Standardizability and H2-Optimization of Sampled-Data Systems with Multiple Delays. Automation and Remote Control, 80(3):413–428, 2019
  E. N. Rosenwasser, B. P. Lampe, W. Drewelow and T. Jeinsch
  
• Synchronous Sampled Data Modal Control and Stabilization of Linear Periodic Processes with Control Signal Delay. In 18th European Control Conference (ECC), pages 2845–2849, Naples, Jun 2019
  E. N. Rosenwasser, B. P. Lampe, W. Drewelow and T. Jeinsch
  
• Guaranteeing the accuracy of digital control of a linear periodic object within the set of stabilizing regulators. In 21st IFAC World Congress, pages 4725–4730, Berlin, Jul 2020
  V. O. Rybinskii, E. N. Rosenwasser, J. Ladisch, W. Drewelow and T. Jeinsch
  
• Standardizability and H2-Optimization of Single-Loop Multidimensional Sampled-Data Systems with Multiple Delays. Automation and Remote Control, 81(1):13–26, 2020
  E. N. Rosenwasser, B. P. Lampe, W. Drewelow and T. Jeinsch
  
• Synchronous Causal Digital Control and Stabilization of a Linear Periodic Object Using a Generalized Hold In 28th Mediterranean Conference on Control and Automation (MED), pages 1068–1073, Saint-Raphaël, France, Sep 2020
  E. N. Rosenwasser, W. Drewelow, T. Jeinsch, R. Cepeda-Gomez and J. Ladisch
  
• Switched Adaptive Scheme for Heading Control in Ships. In 13th IFAC Conference on Control Applications in Marine Systems, Robotics, and Vehicles (CAMS), pages 378–383, Oldenburg, Sep 2021
  R. Cepeda-Gomez, J. Ladisch, T. Jeinsch and W. Drewelow
  
• Sampled-Data Control for Periodic Objects. Springer International, 252 pages, ISBN: 978-3-031-01955-5, 2022
  E. N. Rosenwasser, T. Jeinsch and W. Drewelow