Title :
Event-triggered feedback for resonance tuning of harmonic oscillators
Author_Institution :
Jet Propulsion Lab., California Inst. of Technol., Pasadena, CA, USA
Abstract :
Resonance tracking control of oscillatory plants whose natural frequency is unknown is investigated from a Lyapunov stability perspective. In particular, an event-triggered discrete-time system is investigated for this purpose. The proposed resonance tuner is time-synchronized with periodic sampling of the harmonic plant´s output to ensure that an analytical relationship exists between the period of the driving squarewave and the tracking error. This relation defines a class of discrete-time nonlinear systems whose origin, is shown to be asymptotically stable.
Keywords :
Lyapunov methods; asymptotic stability; closed loop systems; control system synthesis; discrete time systems; feedback; harmonic oscillators; nonlinear control systems; resonance; sampling methods; synchronisation; tracking; Lyapunov stability; analytical relationship; asymptotic stability; closed loop system; discrete-time system; event-triggered feedback; harmonic oscillator; nonlinear system; periodic sampling; resonance tracking control; resonance tuning; time-synchronization; Feedback; Frequency; Harmonic analysis; Lyapunov method; Nonlinear systems; Oscillators; Resonance; Sampling methods; Tuners; Tuning;
Conference_Titel :
Control and Automation, 2009. MED '09. 17th Mediterranean Conference on
Conference_Location :
Thessaloniki
Print_ISBN :
978-1-4244-4684-1
Electronic_ISBN :
978-1-4244-4685-8
DOI :
10.1109/MED.2009.5164557