Comparison of Linear Quadratic Controllers with Stability Analysis for DC‐DC Boost Converters Under Large Load Range

This paper presents four different control design strategies for linear quadratic regulators applied to DC-DC boost converters operating under large load range, pointing out advantages and drawbacks by means of a performance comparison. Two of the strategies are based on single controllers and the other two use a set of local controllers to cope with the entire load range. The robust stability of the closed-loop linearized system with the four control strategies is investigated via the existence of a common Lyapunov function, obtained in a fast and efficient way by the solution of linear matrix inequality conditions.

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