LMI tools for eventually periodic systems
- Resource Type
- Conference
- Authors
- Farhood, M.; Dullerud, G.E.
- Source
- Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301) American control conference American Control Conference, 2002. Proceedings of the 2002. 1:23-28 vol.1 2002
- Subject
- Robotics and Control Systems
Computing and Processing
Components, Circuits, Devices and Systems
Control systems
Open loop systems
Control system synthesis
Optimal control
Time varying systems
Nonlinear control systems
Nonlinear systems
Orbits
Stability
Linear matrix inequalities
- Language
- ISSN
- 0743-1619
Focuses on the concept of an eventually periodic linear discrete-time system. We derive a necessary and sufficient analysis condition for checking open-loop stability and performance of such systems, and use this to derive exact controller synthesis conditions given eventually periodic plants. All the conditions derived are provided in terms of semi-definite programming problems. The motivation for this work is controlling nonlinear systems along prespecified trajectories, notably those which eventually settle down into periodic orbits and those with uncertain initial states.