KL-Regelungstechnik-Seminar  /  January 14, 2020

Stabilizing Distributed Model Predictive Control: Gradient- and ADMM-Based Approaches

Abstract:

In distributed model predictive control (DMPC) problems, stability assurance is a demanding issue since the well-known terminal cost and constraint technique is not readily adaptable to the distributed schemes. It is already known that with a sufficiently large horizon length the DMPC scheme can be stabilized under specific circumstances.

The stopping criterion of the DMPC algorithm can then be assessed through determination of two scalars: an upper bound for the cost of the next sampling period and a lower bound for the optimal cost of the current one. While the former scalar can be determined by calculation of a feasible solution to DMPC problem, the latter one is dependent on the chosen distributed optimization method which is utilized to handle DMPC problem. In this talk, two distributed optimization algorithms, i.e.
gradient- and ADMM-based algorithms, will be proposed at first. These two methods will then be compared from different aspects, e.g. convergence speed, suboptimality, distributed implementation, etc.

  • Technomathematics (Dep. of Mathematics)
  • Mechatronics in Mechenical and Automotive Engineering (Dep. of Mechanical and Process Engineering)
  • Automation Control (Dep. of Electrical and Computer Engineering)
  • Electromobility (Dep. of Electrical and Computer Engineering)

The seminar takes place at the ITWM every 1st Tuesday of a month (besides holidays and summer break). Aims are broadening of experiences and exchange of scientific views – also beyond the organizing groups.

Typical subjects of talks are:

  • ongoing or recently finished graduations and doctoral theses
  • current research and projects

The topics vary from mathematical methods to technical implementations. Usually, the talks present research results. However, some show open issues for brainstorming and inputs from the audience.

The seminar »KL-Regelungstechnik« (Kaiserslautern – Control Theory and Control Engineering) is organized by our department as well as several research groups of the TU Kaiserslautern:

  • Technomathematics (Dep. of Mathematics)
  • Mechatronics in Mechenical and Automotive Engineering (Dep. of Mechanical and Process Engineering)
  • Automation Control (Dep. of Electrical and Computer Engineering)
  • Electromobility (Dep. of Electrical and Computer Engineering)

The seminar takes place at the ITWM every 1st Tuesday of a month (besides holidays and summer break). Aims are broadening of experiences and exchange of scientific views – also beyond the organizing groups.

Typical subjects of talks are:

  • ongoing or recently finished graduations and doctoral theses
  • current research and projects

The topics vary from mathematical methods to technical implementations. Usually, the talks present research results. However, some show open issues for brainstorming and inputs from the audience.

The seminar »KL-Regelungstechnik« (Kaiserslautern – Control Theory and Control Engineering) is organized by our department as well as several research groups of the TU Kaiserslautern:

  • Technomathematics (Dep. of Mathematics)
  • Mechatronics in Mechenical and Automotive Engineering (Dep. of Mechanical and Process Engineering)
  • Automation Control (Dep. of Electrical and Computer Engineering)
  • Electromobility (Dep. of Electrical and Computer Engineering)

The seminar takes place at the ITWM every 1st Tuesday of a month (besides holidays and summer break). Aims are broadening of experiences and exchange of scientific views – also beyond the organizing groups.

Typical subjects of talks are:

  • ongoing or recently finished graduations and doctoral theses
  • current research and projects

The topics vary from mathematical methods to technical implementations. Usually, the talks present research results. However, some show open issues for brainstorming and inputs from the audience.