Analysis and control of DC-DC converters based on Lyapunov Stability Theory

Control of Cascaded DC–DC Converter-Based Hybrid Battery Energy Storage Systems—Part II: Lyapunov Approach

“…Some generalised studies looked into the application of Lyapunov method in analysing the stability of power converters [18] - [21] using the full switching model of the converter. Lyapunov based control method was also used in hybrid energy storage systems in electric vehicles but using parallel converters [22] - [23].…”

“…Fig. 3(c) shows the reference generation for the module duty ratio through equation (21). A LPF (low pass filter) has been employed to eliminate the high frequency noise generated from the differentiation.…”

Large signal stability analysis for DC microgrid under droop control based on mixed potential theory

“…Thus, the Lyapunov function is established and the influence of AC side inductance on the stability of VSC is analysed by Lyapunov direct method. In [10], the Lyapunov direct method is applied to estimate the domain of attraction of DC–DC converter under large disturbance. However, none of the above methods can give the analytical criterion of stability and cannot give guidance in the initial design of the system.…”

Simple analytical approach to predict large‐signal stability region of a closed‐loop boost DC–DC converter

“…Lyapunov's direct method is another important method that has been intensively applied to study the stabilities of SPCs. Various Lyapunov functions were constructed on different models (continuous-time or discrete-time ones) of SPCs to explore the global convergence or transient dynamics [8][9][10][11][12][13][14][15][16][17][18]. Making the derivatives of the Lyapunov functions, the large-signal behaviour and stability regions of SPCs could be easily predicted and estimated.…”