Lyapunov's second theorem is an essential tool for stability analysis of differential equations. The paper provides an analog theorem for incremental stability analysis by lifting the Lyapunov function to the tangent bundle. The Lyapunov function endows the state-space with a Finsler structure. Incremental stability is inferred from infinitesimal contraction of the Finsler metrics through integration along solutions curves.

https://orbi.uliege.be/bitstream/2268/165111/1/1208.2943v4.pdf

A Differential Lyapunov Framework for Contraction Analysis

A differential Lyapunov framework for contraction analysis

In this paper, a full-bridge boost power converter topology is studied for power factor control, using output higher order sliding mode control. The AC/DC converters are used for charging the battery and super-capacitor in hybrid electric vehicles from the utility. The proposed control forces the input currents to track the desired values, which can control the output voltage while keeping the power factor close to one. Super-twisting sliding mode observer is employed to estimate the input currents and load resistance only from the measurement of output voltage. Lyapunov analysis shows the asymptotic convergence of the closed-loop system to zero. Multi-rate simulation illustrates the effectiveness and robustness of the proposed controller in the presence of measurement noise.

Observer-based higher order sliding mode control of power factor in three-phase AC/DC converter for hybrid electric vehicle applications

https://www3.nd.edu/~vgupta2/research/publications/kmxgaaut14.pdf

On relationships among passivity, positive realness, and dissipativity in linear systems

The control of a single-phase multilevel H-bridge rectifier suitable for traction applications is considered. Such a converter often presents instability problems making difficult its design and uncertain its behavior. In this paper the use of a passivity-based controller is experimentally investigated. Such a controller achieves stability, unity power factor, good balancing between the two DC links, and satisfactory behavior even in the presence of load changes. A right choice of the damping parameters allows the fulfilling of system requirements in terms of DC-link voltage error and grid current distortion.

A passivity-based multilevel active rectifier with adaptive compensation for traction applications

We develop a passivity-based control scheme for the feedback regulation of a class of switched power converters commonly addressed as power factor pre-compensators. In such applications, aside from load voltage regulation to a prespecified constant level, a vital additional control objective consists of keeping the input power factor close to unity. By forcing the converter input current to follow a sinusoidal reference signal which is in phase with the supplied voltage, one may approximately satisfy both control objectives within a single power stage. A further complication in our design is to consider the output load, usually modeled by a resistance as an unknown. Experimental results are furnished for assessing the performance of the proposed feedback control law.

An adaptive passivity-based controller for a unity power factor rectifier

We develop in this paper a passivity-based control scheme for the feedback regulation of a class of switched power converters commonly addressed as power factor precompensators. In such applications, aside from load voltage regulation to a prespecified constant level, a vital additional control objective consists of keeping the input power factor close to unity. By forcing the converter input current to follow a sinusoidal reference signal which is in phase with the supplied voltage, one may approximately satisfy both control objectives within a single power stage. A further complication in our design is to consider the output load, usually modeled by a resistance, as unknown. Experimental results are given for assessing the performance of the proposed feedback control law.

A passivity-based controller for the regulation of a unity power factor rectifier using a full bridge boost circuit: stability analysis and experimental results

We develop in this paper a passivity-based control scheme for the feedback regulation of a class of switched power converters commonly addressed as power factor precompensators. In such applications, aside from load voltage regulation to a prespecified constant level, a vital additional control objective consists in keeping the input power factor close to unity. By forcing the converter input current to follow a sinusoidal reference signal which is in phase with the supplied voltage, one may approximately satisfy both control objectives within a single power stage. A further complication in our design is to consider the output load, usually modeled by a resistance, as unknown.

D. Chevreau

Papers

An adaptive passivity-based controller for a unity power factor rectifier

A passivity-based controller for the regulation of a unity power factor rectifier using a full bridge boost circuit: stability analysis and experimental results

An adaptive passivity — Based controller for a power factor precompensator