TITLE:
LQR Discrete Time Control of a Buck Converter Using a Non-Minimal State Space Representation
AUTHORS:
Richard Tymerski
KEYWORDS:
DC-DC Buck Converter, Non-Minimal State Space (NMSS), Proportional-Integral-Plus (PIP) Control, Linear Quadratic Regulator (LQR), F28069M Microcontroller
JOURNAL NAME:
Journal of Power and Energy Engineering,
Vol.13 No.1,
January
26,
2025
ABSTRACT: This paper presents an advanced control strategy for DC-DC buck converters utilizing Non-Minimal State Space (NMSS) representation combined with Proportional-Integral-Plus (PIP) control, optimized through Linear Quadratic Regulator (LQR) design. The proposed approach leverages NMSS to eliminate the need for state observers, enhancing robustness against model mismatch and improving overall system performance. The PIP controller extends traditional PI control by incorporating additional dynamic feedback. Experimental results demonstrate that the NMSS-PIP-LQR controlled buck converter achieves excellent dynamic performance. The design procedure is fully documented, and microcontroller implementation issues are discussed.