Lehrstuhl für Mechatronik in Maschinenbau und Fahrzeugtechnik (MEC)

Data-Driven Control

Description

Control applications are classically model-based and involve two steps: system identification (SYSID) and controller design for specific control problems. This approach to solving a control problem is called model-based design (MBD). This model-based approach, albeit quite successful, has certain limitations. For instance, if human decision-making is involved, models using first principles may not be perceivable. Moreover, for some problems for example climate dynamics or robotics, it is almost infeasible or requires a lot of computational power to identify a model from the available data. To address these shortcomings, recently data-driven approaches have been proposed. This is a rapidly evolving paradigm, where control strategies are designed directly from measured data. This approach to data-driven design (DDD) seems to be inspired by the behavioral system theory of J. C. Willems, where a model is defined as a set of trajectories. In this project, we will explore data-driven methods to tackle several control problems.
 

Goals

  • to derive data-driven necessary and sufficient criteria  for structural properties of different classes of systems.
  • to generalize Willems et al. fundamental lemma to certain classes of nonlinear deterministic/stochastic systems.
  • to study data-driven predictive control problem.
  • to investigate data-driven estimation problem.
     

References

Data-driven criteria for detectability and observer design for LTI systems
61st IEEE Conference on Decision and Control (CDC), Dec 2022
V. K. Mishra, H. J. V Waarde, N. Bajcinca

Data-driven tests for controllability.
IEEE Control Systems Letters, 5, 517-522 (2021).
V. K. Mishra, I. Markovsky, and B. Grossmann.

Keywords

Willems fundametal lemma
Data informativity
Data-driven predictive control
Data-driven stabilization
Data-driven observers
Data-driven analysis
 

Contact

Dr. Vikas Kumar Mishra
Gottlieb-Daimler-Str. 42
67663, Kaiserslautern
Phone: +49 (0)631/205-3592
Fax: +49 (0)631/205-4201
vikas.mishra(at)mv.uni-kl.de

 

Funding

State of Rhineland-Palatinate

Time span

Since 2021
 

Zum Seitenanfang