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Robust H2 control applied to boost converters: design, experimental validation and performance analysis

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4 Author(s)
Maccari, L.A. ; Power Electron. & Control Res. Group, Fed. Univ. of Santa Maria, Santa Maria, Brazil ; Montagner, V.F. ; Pinheiro, H. ; Oliveira, R.C.L.F.

This study proposes a design procedure and experimental validation for a robust H2 state feedback controller applied to a DC-DC boost converter modelled as a linear system affected by time-varying parameters lying in known intervals. The parameters considered as time-varying are the input voltage, the load resistance and the operating point duty cycle. A polytopic representation of the system is derived and the controller is designed by means of a convex optimisation problem based on linear matrix inequalities. The conventional H2 controller is extended to cope with alpha-stability and robust linear quadratic regulator design, providing different strategies to trade-off the magnitude of the control gains and the response of the closed-loop system. Tight correspondences between numerical simulations and the experimental results prove the viability of the application of this technique for this kind of plant. Finally, a robust performance analysis illustrates the capacity of the closed-loop system to reject energy bounded disturbances, with interpretation for the cases of time-varying and time-invariant parameters.

Published in:

Control Theory & Applications, IET  (Volume:6 ,  Issue: 12 )