An energy based LQR tuning approach applied for Uninterruptible Power Supplies

Abstract

This paper proposes a tuning method for a linear quadratic regulator (LQR) and its application to Un interruptible Power Supplies (UPS). A performance index is established based on the desired behavior of system variables, such as maximum values permitted on the states and control law saturation. The tuning method is based on the Q and R weighting matrices, which relate the energy of the state variables involved on the process. From this index it is possible to find an optimal point to reach the required performance. The design procedure is exemplified with an output voltage control of an Un interruptible Power Supply and dynamic results are presented.

Robust Algorithms Applied for Shunt Power Quality Conditioning Devices

“…Therefore, all the elements of the LQR matrices Q N and R N , related to those states, are defined as zero. The other elements are evaluated as in (Kanieski, Carati & Cardoso, 2010). The dynamic of the states in closed loop is equal to the errors dynamics.…”