On the limit cycle stabilization of a DC/DC three-cell converter

• This paper investigates a new control scheme for DC/DC three-cell converter.
• It takes in consideration the limit cycle behavior in the control design.
• The control law guarantees a finite-time convergence to the limit cycle.
• Local asymptotic stability of the limit cycle is proved analytically.
• Simulation and experimental results confirm the robustness of the control scheme.

This paper investigates a new state feedback controller design for DC/DC three-cell converter. The high dynamic performances of the converter have been translated into a desired limit cycle stabilization problem. The state feedback is established using hybrid automaton formalism, which allows us to design independently a transitory state and steady state control schemes. Finite-time convergence of the trajectory to the steady state and the local asymptotic stability of the desired limit cycle under the proposed controller are proved analytically. Simulation and experimental results confirm the theoretical results and show the effectiveness and robustness of the hybrid controller in spite of load variations.