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Research Papers

A Nonlinear State Feedback for DC/DC Boost Converters

[+] Author and Article Information
O. Gehan, E. Pigeon, M. Pouliquen

GREYC,
University of Caen,
6 Boulevard du Maréchal Juin,
Caen Cedex 14050, France

T. Menard

GREYC,
University of Caen,
6 Boulevard du Maréchal Juin,
Caen Cedex 14050, France
e-mail: tomas.menard@unicaen.fr

H. Gualous

LUSAC,
University of Caen,
Rue Louis Aragon
Cherbourg Octeville 50 130, France

Y. Slamani, B. Tala-Ighil

LUSAC,
University of Caen,
Rue Louis Aragon,
Cherbourg Octeville 50 130, France

1Corresponding author.

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received December 4, 2015; final manuscript received August 22, 2016; published online October 17, 2016. Assoc. Editor: Ryozo Nagamune.

J. Dyn. Sys., Meas., Control 139(1), 011010 (Oct 17, 2016) (10 pages) Paper No: DS-15-1612; doi: 10.1115/1.4034602 History: Received December 04, 2015; Revised August 22, 2016

This paper investigates the control problem for static boost type converters using a high gain state feedback robust controller incorporating an integral action. The robust feature allows to achieve the required performance in the presence of parametric uncertainties, while the integral action provides an offset free performance with respect to the desired levels of voltage. The adopted high gain approach is motivated by both fundamental as well as practical considerations, namely the underlying fundamental potential and the design parameter specification simplicity. The stability and convergence analysis has been carried out using an adequate Lyapunov approach, and the control system calibration is achieved throughout a few design parameters which are closely related to the desired dynamical performances. The effectiveness of the proposed control approach has been corroborated by numerical simulations and probing experimental results.

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Figures

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Fig. 1

Electric schematic of the boost converter

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Fig. 2

Scheme of the control law implementation presented in Sec. 3.3

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Fig. 3

Simulated transient of the boost converter under a load step variation (R=5 Ω→R=30 Ω→R=5 Ω) with different parameter values of the nonlinear controller

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Fig. 4

Simulated transient of the boost converter with nonlinear controller (solid line) and current-mode controller (dashed line): (a) load step transient (R: 5 Ω → 30 Ω → 5 Ω) in nominal point d = 0.5, (b) load step transient (R: 5 Ω → 30 Ω → 5 Ω) in nominal point d = 0.7, and (c) supply voltage step transient (ve: 12 V → 7 V → 12 V)

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Fig. 5

Simulated state variables (solid lines) and estimated state variables (dashed lines): (a) estimation of vc(t), (b) estimation of il (t), (c) estimation of ve(t), and (d) estimation of ie(t)

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Fig. 6

Experimental results: (a) output performance vc(t) and v̂c(t), (b) coil current measurement il(t) and îl(t), (c) estimated current i(t) and îe(t), (d) experimental battery voltage value ve(t) and v̂e(t) estimated value, and (e) input experimental performance u(t)

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