Proximate Time-Optimal Control of a Harmonic Oscillator
نویسندگان
چکیده
This paper considers near time-optimal setpoint tracking of a second-order oscillator. First, the time-optimal setpoint tracking feedback law is derived by recasting the problem as a regulator problem in the error coordinates with shifted control limits. This result is used to construct a derated approximation of the optimal control, PTOSω. Initially, the PTOSω is derived for a regulator controller for a system with zero damping. This result is then extended to include setpoint tracking. Global stability is proven for the setpoint tracking controller. A numerical approach is considered to apply the same method for plants with non-zero damping. Both the damped and un-damped controllers are validated experimentally.
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