Tuning of passivity-preserving controllers for switched-mode power converters

Nonlinear passivity-based control (PBC) algorithms for power converters have proved to be an interesting alternative to other, mostly linear, control techniques. The control objective is usually achieved through an energy reshaping process and by injecting damping to modify the dissipation structure of the system. However, a key question that arises during the implementation of the controller is how to tune the various control parameters. From a circuit theoretic perspective, a PBC forces the closed-loop dynamics to behave as if there are artificial resistors-the control parameters-connected in series or in parallel to the real circuit elements. In this paper, a solution to the tuning problem is proposed that uses the classical Brayton-Moser equations. The method is based on the study of a certain "mixed-potential function" which results in quantitative restrictions on the control parameters. These restrictions seem to be practically relevant in terms stability, overshoot and nonoscillatory responses. The theory is exemplified using the elementary single-switch buck and boost converters.

[1]  Romeo Ortega,et al.  Passivity-based controllers for the stabilization of Dc-to-Dc Power converters , 1997, Autom..

[2]  Romeo Ortega,et al.  A Hamiltonian viewpoint in the modeling of switching power converters , 1999, Autom..

[3]  R. Ortega.  Passivity-based control of Euler-Lagrange systems : mechanical, electrical and electromechanical applications , 1998 .

[4]  Dimitri Jeltsema,et al.  Energy control of multi-switch power supplies; an application to the three-phase buck type rectifier with input filter , 2001, 2001 IEEE 32nd Annual Power Electronics Specialists Conference (IEEE Cat. No.01CH37230).

[5]  J. K. Moser,et al.  A theory of nonlinear networks. I , 1964 .

[6]  A. Schaft.  L2-Gain and Passivity Techniques in Nonlinear Control. Lecture Notes in Control and Information Sciences 218 , 1996 .

[7]  Jacquelien M. A. Scherpen,et al.  A dual relation between port-Hamiltonian systems and the Brayton-Moser equations for nonlinear switched RLC circuits , 2003, Autom..

[8]  L. Trajković,et al.  A generalization of Brayton-Moser's mixed potential function , 1998 .

[9]  Dimitri Jeltsema,et al.  Lagrangian modeling and control of switching networks with integrated coupled magnetics , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

[10]  W. Mathis,et al.  A Hamiltonian formulation for complete nonlinear RLC-networks , 1997 .

[11]  John W. Miles,et al.  On the transformation of the linearized equation of unsteady supersonic flow , 1954 .

[12]  Romeo Ortega,et al.  Passivity-based Control of Euler-Lagrange Systems , 1998 .

[13]  G. Escobar,et al.  A robustly stable output feedback saturated controller for the Boost DC-to-DC converter , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).

[14]  Leon Y. Bahar,et al.  The generalized Lagrange formulation for nonlinear RLC networks , 1982 .

[15]  Nikita Barabanov,et al.  A robustly stable output feedback saturated controller for the boost DC-to-DC converter ☆ , 2000 .

[16]  P. Mattavelli,et al.  Passivity-based controller for harmonic compensation in distribution lines with nonlinear loads , 2000, 2000 IEEE 31st Annual Power Electronics Specialists Conference. Conference Proceedings (Cat. No.00CH37018).

[17]  Romeo Ortega,et al.  On nonlinear control of Euler-Lagrange systems: disturbance attenuation properties , 1997 .

[18]  Charles L. Phillips,et al.  Feedback Control Systems , 1988 .

[19]  Dimitri Jeltsema,et al.  A Nonlinear Characteristic Impedance Tracking Controller for the CCM-DCM Boost Converter , 2002 .