Linear robust control of DC/DC converters: Part I – Deterministic switching

The purpose of this paper is to show ways to use modern H∞/μ-optimality theory as a tool for power electronics robust control synthesis. Both common methods of DC/DC converter control, Voltage Mode Control and Current Mode Control, are considered. From the control systems point of view, three classes of systems are discussed: stable minimum phase, stable non-minimum phase and unstable systems. The performance and stability specifications of the DC/DC converter control system are clearly stated, H∞/μ-optimal synthesis is carried out, and robust controllers are obtained. Transient behavior and robustness to uncertainties of closed loop systems are tested for the robust controllers by means of simulation, using a nonlinear model for the DC/DC converter, which includes switching effects. Results of the deterministic synthesis will be used in the synthesis of robust controllers for random switching converters.

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