Exploration of Deadbeat Control for DC-DC Converters as Hybrid Systems

The concept of large signal controllability for switched electrical networks is reviewed for DC-DC converters. Small signal models and controllers are limited by assumptions of fixed operating point. Hybrid system representations allow use of geometric control methods including sliding mode and boundary based switching controls. The comparison of geometric control response with small signal response shows a fundamental difference: only geometric methods are capable of deadbeat (finite time duration) recovery to steady-state after a transient disturbance. However, these deadbeat geometric laws are only known for second order systems. The possibility of deadbeat control for higher order DC-DC converter systems is examined

[1]  B. Lehman,et al.  Extensions of averaging theory for power electronic systems , 1994, Proceedings of 1994 Power Electronics Specialist Conference - PESC'94.

[2]  R. B. Ridley,et al.  A new, continuous-time model for current-mode control (power convertors) , 1991 .

[3]  C. Prapanavarat,et al.  Design of an H/sub /spl infin// robust controller for multi-module parallel DC-DC buck converters with average current mode control , 2002, 2002 IEEE International Conference on Industrial Technology, 2002. IEEE ICIT '02..

[4]  R. M. Bass,et al.  On the use of averaging for the analysis of power electronic systems , 1989, 20th Annual IEEE Power Electronics Specialists Conference.

[5]  P.T. Krein,et al.  Design and control of sensorless current mode DC-DC converters , 2003, Eighteenth Annual IEEE Applied Power Electronics Conference and Exposition, 2003. APEC '03..

[6]  Fred C. Lee,et al.  Small-signal modeling of average current-mode control , 1993 .

[7]  Roger W. Brockett,et al.  Electrical networks containing controlled switches , 1974 .

[8]  P. Krein,et al.  Issues in Boundary Control , 1996 .

[9]  S. Sanders.  Limit cycles in periodically switched circuits , 1991, 1991., IEEE International Sympoisum on Circuits and Systems.

[10]  R. D. Middlebrook,et al.  Topics in Multiple-Loop Regulators and Current-Mode Programming , 1987, IEEE Transactions on Power Electronics.

[11]  R. D. Middlebrook,et al.  Low-frequency characterization of switched DC-DC converters , 1972 .

[12]  Bruce A. Francis,et al.  Feedback Control Theory , 1992 .

[13]  Thomas Wilson,et al.  State Trajectories Used to Observe and Control DC-to-DC Converters , 1976, IEEE Transactions on Aerospace and Electronic Systems.

[14]  Vadim I. Utkin,et al.  Sliding Modes and their Application in Variable Structure Systems , 1978 .

[15]  W. M. Wonham,et al.  The control of discrete event systems , 1989 .

[16]  K. Smedley,et al.  Dynamics of one-cycle controlled Cuk converters , 1995 .

[17]  Slobodan Cuk,et al.  A general unified approach to modelling switching-converter power stages , 1976, 1970 IEEE Power Electronics Specialists Conference.

[18]  P. Midya,et al.  Sensorless current mode control-an observer-based technique for DC-DC converters , 1997, PESC97. Record 28th Annual IEEE Power Electronics Specialists Conference. Formerly Power Conditioning Specialists Conference 1970-71. Power Processing and Electronic Specialists Conference 1972.

[19]  Philip T. Krein,et al.  High-fidelity PWM inverter for digital audio amplification: Spectral analysis, real-time DSP implementation, and results , 2003 .

[20]  J. T. Mossoba.  Null audio susceptibility of current-mode buck converters: small signal and large signal perspectives , 2003, IEEE 34th Annual Conference on Power Electronics Specialist, 2003. PESC '03..

[21]  Jana Kosecka,et al.  Control of Discrete Event Systems , 1992 .

[22]  Hebertt Sira-Ramírez,et al.  Sliding motions in bilinear switched networks , 1987 .

[23]  R. D. Middlebrook.  Small-signal modeling of pulse-width modulated switched-mode power converters , 1988 .

[24]  Robert W. Erickson,et al.  Fundamentals of Power Electronics , 2001 .

[25]  Slobodan Cuk,et al.  Large-signal modelling and analysis of switching regulators , 1982, 1982 IEEE Power Electronics Specialists conference.

[26]  R. Middlebrook,et al.  Small-Signal Frequency Response Theory for piecewise-constant two-switched-network dc-to-dc converter systems , 1986, 1986 17th Annual IEEE Power Electronics Specialists Conference.

[27]  Lihua Xie,et al.  Null controllability of discrete-time planar bimodal piecewise linear systems , 2005 .

[28]  R. Miftakhutdinov.  Optimal design of interleaved synchronous buck converter at high slew-rate load current transients , 2001, 2001 IEEE 32nd Annual Power Electronics Specialists Conference (IEEE Cat. No.01CH37230).

[29]  P.T. Krein,et al.  State-plane animation of power electronic systems: a tool for understanding feedback control and stability , 1990, Fifth Annual Proceedings on Applied Power Electronics Conference and Exposition.

[30]  Guangming Xie,et al.  Null controllability of planar piecewise linear systems , 2003, SMC'03 Conference Proceedings. 2003 IEEE International Conference on Systems, Man and Cybernetics. Conference Theme - System Security and Assurance (Cat. No.03CH37483).

[31]  Daniel Liberzon,et al.  Switching in Systems and Control , 2003, Systems & Control: Foundations & Applications.

[32]  George C. Verghese,et al.  Modeling and simulation of power electronic converters , 2001, Proc. IEEE.

[33]  S. Balemi.  Control of discrete event systems , 1992 .

[34]  K.M. Smedley,et al.  One-cycle control of switching converters , 1991, PESC '91 Record 22nd Annual IEEE Power Electronics Specialists Conference.

[35]  I︠a︡. Z. T︠S︡ypkin.  Relay Control Systems , 1985 .

[36]  P. Krein,et al.  Issues in boundary control [of power convertors] , 1996, PESC Record. 27th Annual IEEE Power Electronics Specialists Conference.

[37]  H. Sira-Ramírez.  A geometric approach to pulse-width modulated control in nonlinear dynamical systems , 1989 .

[38]  Guangming Xie,et al.  Controllability of switched linear systems , 2002, IEEE Trans. Autom. Control..

[39]  R. M. Bass,et al.  Continuous time formulation, classification, and methods for power electronic systems , 1989, Proceedings of the 32nd Midwest Symposium on Circuits and Systems,.

[40]  C. Prapanavarat,et al.  H∞ Controller Design for Parallel DC-DC Buck Converters , 2002 .

[41]  H. Sira-Ramírez,et al.  Nonlinear feedback regulator design for the Cuk converter , 1992 .

[42]  Cecil Deisch,et al.  Simple switching control method changes power converter into a current source , 1978, 1978 IEEE Power Electronics Specialists Conference.

[43]  Thomas G. Wilson,et al.  Analytic derivation and evaluation of a state-trajectory control law for DC-to-DC converters , 1977, 1977 IEEE Power Electronics Specialists Conference.

[44]  Seth Sanders,et al.  Nonlinear control laws for switching power converters , 1986, 1986 25th IEEE Conference on Decision and Control.