Passivity‐based control for large‐signal stability of high‐order switching converters

Abstract

This article presents a new passivity-based control law that stabilizes the output voltage of a high-order DC-DC converter. Such nonlinear control law assures robust large-signal stability, provides zero steady-state error despite uncertainty in converter parameters and has enough degree of freedom to satisfy the usual transient specifications of DC-DC converters. This new integral control is derived in three steps. First, a static law is obtained. Second, a positive semidefinite storage function is synthesized to guarantee zero steadystate error of the output voltage. Finally, the storage functions of the first two steps are combined to derive the new control law for high-order DC-DC converters.

Digital state-feedback control of an interleaved DC–DC boost converter with bifurcation analysis

“…What can be deduced from (14) is that as the series resistance becomes smaller and the number of legs increases the maximum operating point moves to higher values.…”

“…To this end, many advanced robust linear and nonlinear state-feedback control techniques for bilinear boost DC-DC converters have been proposed recently in the literature. These include Model Predictive Control (MPC) [5,6,7], constrained stabilization [8], Linear Matrix Inequalities (LMI) convex optimization control synthesis methods [9,10,11,12,13], and passivity-based control [14]. Moreover, other advanced control techniques have been suggested for the boost converter, including sliding-mode control [15,16,17], and robust control design [18,19] .…”

Optimal switching Lyapunov‐based control of power electronic converters

“…Problem 3. For a power converter with bilinear averaging variational dynamics as in (8), operating in a state domain D under control input constraints u ∈ U and controlled by an N-mode Lyapunov-based switching gain control law, specify the optimal levels ρ j and corresponding gains λ j such that the performance index (13) is minimized.…”

Passivity-based robust controller design for a variable speed wind energy conversion system

“…It has proven to be a powerful tool for nonlinear systems [16][17][18]. Recently, applications of passivity theory in the motor and converter control problem have been reported [19][20][21][22][23][24]. The authors of [19,20] used passivity theory to design an induction motor torque and speed controller.…”