Model Synthesis for Design of Switched Systems Using a Variable Structure System

A Variable Structure System (VSS) formulation and bond graph approach are used to develop a novel scheme for synthesizing reduced order models of switched systems. Switches are physical mechanisms that discontinuously redirect power, and switched systems employ switches for more efficient power conversion and/or to incorporate a control structure. A variety of power converters including electronic converters, hydraulic pumps, and clutched transmissions/differentials employ switches. It is shown how reduced order models can be derived using bond graphs and a VSS formulation to provide insight for optimizing design of switched systems. Experimental results are presented to validate this utility.

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

[2]  M. Mcpherson,et al.  Introduction to fluid mechanics , 1997 .

[3]  Bonnie S. Heck,et al.  The Application of Variable Structure Control to Power Electronic Systems , 1992, 1992 American Control Conference.

[4]  A. D. Young,et al.  An Introduction to Fluid Mechanics , 1968 .

[5]  Bruce H. Wilson,et al.  An Algorithm for Obtaining Proper Models of Distributed and Discrete Systems , 1995 .

[6]  R. G. Longoria,et al.  Bond graph and wave-scattering models of switched power conversion , 1997, 1997 IEEE International Conference on Systems, Man, and Cybernetics. Computational Cybernetics and Simulation.

[7]  R.D. Middlebrook,et al.  Low-Frequency Characterization of Switched dc-dc Converters , 1972, IEEE Transactions on Aerospace and Electronic Systems.

[8]  James H. Taylor,et al.  A MODEL-ORDER-DEDUCTION ALGORITHM FOR NONLINEAR SYSTEMS , 2005 .

[9]  U. Itkis,et al.  Control systems of variable structure , 1976 .

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

[11]  Irving M. Gottlieb.  Power Supplies Switching Regulators, Inverters, and Converters , 1984 .

[12]  Slobodan Cuk,et al.  A general unified approach to modelling switching-converter power stages , 1977 .

[13]  Luigi Fortuna,et al.  Model Order Reduction Techniques with Applications in Electrical Engineering , 1992 .

[14]  Bruce H. Wilson,et al.  A frequency-domain model-order-deduction algorithm for nonlinear systems , 1995, Proceedings of International Conference on Control Applications.

[15]  V. Utkin.  Variable structure systems with sliding modes , 1977 .