On the /spl lscr//sub 2/-induced control for eventually periodic systems
- Resource Type
- Conference
- Authors
- Farhood, M.; Dullerud, G.E.
- Source
- Proceedings of the 2004 American Control Conference Proceedings of the 2004 American control conference American Control Conference, 2004. Proceedings of the 2004. 3:2021-2026 vol.3 2004
- Subject
- Robotics and Control Systems
Computing and Processing
Components, Circuits, Devices and Systems
Control systems
State-space methods
Equations
Stability
Signal synthesis
Time varying systems
Linear matrix inequalities
- Language
- ISSN
- 0743-1619
This paper is focused on the /spl lscr//sub 2/-induced control of eventually periodic linear discrete-time systems. We prove for such systems that a synthesis exists if and only if an eventually periodic synthesis exists. We also consider specific cases, where we show that the synthesis if existent can always be chosen to be of the same eventually periodic class as the plant. All the conditions derived are provided in terms of semidefinite programming problems. The motivation for this work is controlling nonlinear systems along prespecified trajectories, notably those that eventually settle down into periodic orbits and those with uncertain initial states.