Fraunhofer-Institut für Techno- und Wirtschaftsmathematik ITWMKL-Regelungstechnik-Seminar / 05. März 2019
Observer Design for Control and Fault Diagnosis of Boolean Networks
Abstract:
[nur in Englisch verfügbar]
Boolean networks (BNs) are a structurally simple model, which can be used to model gene regulatory networks. By using the mathematical tool “semi-tensor product of matrix”, the dynamics of the BNs can be converted into a model similar to the standard discrete-time state-space model. This enables the study of control problems, such as observer design of BNs for control and fault diagnosis. To this goal, for reconstructibility analysis, explicit and recursive methods are derived at first. After that, if a BN is reconstructible, then an approach for observer design can be given. The Luenberger-like observer for BNs is introduced to facilitate an online implementation, which applies two procedures (i.e. prediction and update).
Based on this, in order to consider a model having unknown inputs, approach for design of unknown input observer is given. For large-scale BNs, distributed observer and reduced-order observer are constructed to improve the feasibility of state estimation
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.
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.