Generalised moments-matching based control strategy for non-minimum phase systems with experimental validation

This paper proposes a unified moments matching (MM) control technique for the regulation of output voltage of non-minimum phase (NMP) system, with applications to various orders of DC–DC boost converters. While prior studies use tuning techniques that are converter-specific and robust control approaches that are complicated, the proposed method uses a simple proportional-integral-derivative (PID) controller designed based on MM principles. In essence, the proposed algorithm utilises comparison between the closed-loop system characteristics of the converter and those of a reference model at lower frequencies, such that voltage regulation can be guaranteed for a variety of converters without changing the basic control design scheme. Adjustable parameters of the proposed controller are optimised by means of maximum sensitivity (Ms) criteria, thus giving users flexibility in adjusting the performance-to-robustness trade-off. Results of computer simulation and experiments show that compared to well-known control strategies, including internal model control (IMC) and indirect IMC (IIMC), the proposed method provides fast transient response and better stability characteristics when applied to standard Boost Converter (BC) and Quadratic Boost Converter (QBC). Robustness evaluation through changes in plant parameters and fragility analysis of the controller confirm stable performance over a wide range of uncertainties. Hardware implementation through real-time simulations also proves that the developed MM-PID controller achieves reliable voltage regulation over different operating conditions.