Large-signal stability-oriented design of boost regulators based on a Lyapunov criterion with nonlinear integral

Abstract

Exact nonlinear differential equations of boost pulsewidth modulation converters ( either with hard-switching or soft-switching, in continuous and discontinuous conduction mode) are obtained, without using average approximations. An extended system of equations also contains the differential equation of the integrated error between the reference and the output voltage. A positive-definite Lyapunov function is defined, including in its expression a nonlinear integral of type Lurie. Sufficient conditions for the Lyapunov stability of the system are determined. Consequently, constraints on the feedback circuit parameters that assure the large-signal stability of the system are formulated. These constraints relate the parameters of the feedback circuit with the values of the power stage elements, load, switching frequency, steady-state duty-cycle. For different values of the steady-state duty-cycle, graphical boundaries which assure the large-signal stability for all the variation of the load are designed. Simulations and experiments confirm the stability of the design.

Optimal PWM Control of Switched-Capacitor DC–DC Power Converters via Model Transformation and Enhancing Control Techniques

“…Furthermore, initial conditions of the circuit corresponding to each topology are non-zero at the steady state, so the switched-capacitor DC/DC power converter is nonlinear. An inadequate selection of the switching instants and the nonlinear time-varying nature of the switched-capacitor DC/DC power converters may result to instability problems [3]- [5] or the occurrence of chaotic behaviors [6]- [15].…”

Stability Criterion for Cascaded System With Constant Power Load

“…It could not come to an analytical and general conclusion for the relationship between parameters and system stability. In [20]- [21], constrains on feedback circuit parameters are proposed based on Lyapunov direct method to ensure system stable operation under large-signal disturbance. The conclusion is more general and instructive for converter design.…”

Boundary control of dual‐output boost converter using state‐energy plane

“…If the injected perturbation has small magnitude, the system behaves as predicted by the small-signal model, and the transients converge to the quiescent operating point [5]. However, controllers failed to satisfactorily perform constrained specifications under large parameter variations and load disturbances [6]. Therefore the steady-state response may diverge from the desired quiescent point.…”