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

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

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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.

Inspec keywords: DC-DC power convertors; linear systems; power control; robust control; closed loop systems; state feedback; convex programming; control system synthesis; linear quadratic control; linear matrix inequalities; H2 control; numerical analysis; time-varying systems

Other keywords: robust H2 control; operating point duty cycle; convex optimisation problem; time-invariant parameter; DC-DC boost converter; polytopic representation; linear system; design procedure; experimental validation; robust linear quadratic regulator design; linear matrix inequalities; robust performance analysis; controller design; time-varying parameter; robust H2 state feedback controller; numerical simulation; alpha-stability; closed-loop system; load resistance

Subjects: Optimisation techniques; Stability in control theory; Time-varying control systems; Power convertors and power supplies to apparatus; Power and energy control; Control of electric power systems; Other numerical methods; Optimisation techniques; Optimal control; Control system analysis and synthesis methods; Algebra; Other numerical methods; Algebra

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