Combined optimal pulse width modulation and pulse frequency modulation strategy for controlling switched mode DC-DC converters over a wide range of loads

Ling, B.W.-K. and Bingham, Chris and Iu, H. H.-C. and Teo, K.-L. (2012) Combined optimal pulse width modulation and pulse frequency modulation strategy for controlling switched mode DC-DC converters over a wide range of loads. IET Control Theory and Applications, 6 (13). pp. 1973-1983. ISSN 1751-8644

Full content URL: http://dx.doi.org/10.1049/iet-cta.2011.0396

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Item Type:Article
Item Status:Live Archive

Abstract

This paper develops a combined optimal pulse width modulation (PWM) and pulse frequency modulation (PFM) strategy for controlling switched mode DC-DC converters. The peak ripple magnitudes of both the output-voltages and -currents during all operating modes over a wide range of loads are minimised subject to specifications on the minimum efficiency bounds of the converters. This problem is posed as a multi-objective functional inequality constrained optimal control problem. By expressing the initial state of each operating mode at the steady state as a function of the switched time instants, as well as applying the time scaling transform method and the constraint transcription method, the multi-objective functional inequality constrained optimal control problem is converted to a conventional optimal control problem. Finally, a control parameterisation technique is applied to solve the problem. Computer numerical simulations show that the combined control strategy could achieve low peak ripple magnitudes of both the output-voltages and -currents for all operating modes over a wide range of loads and guarantees the satisfaction of the specifications on the minimum efficiency bounds of the converter over a wide range of loads. © 2012 The Institution of Engineering and Technology.

Keywords:Combined control strategies, Constrained optimal control problems, Constraint transcription, Efficiency bounds, Functional inequalities, Optimal control problem, Optimal pulse width modulation, Time scaling transforms, DC-DC converters, Modulation, Optimal control systems, Optimization, Specifications, Pulse width modulation
Subjects:H Engineering > H660 Control Systems
Divisions:College of Science > School of Engineering
ID Code:10932
Deposited On:18 Dec 2013 19:04

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