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Lyapunov-based control for switched power converters

Lyapunov-based control for switched power converters,10.1109/63.124573,IEEE Transactions on Power Electronics,S. R. Sanders,G. C. Verghese

Lyapunov-based control for switched power converters   (Citations: 67)
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Beginning with fundamental properties such as passivity or incremental passivity of the network elements comprised by a switched power converter, the nominal open-loop operation of a broad class of such converters is shown to be stable in the large via a Lyapunov argument. The obtained Lyapunov function is then shown to be useful for designing globally stabilizing controls that include adaptive schemes for handling uncertain nominal parameters. Numerical simulations illustrate the application of this control approach in DC-DC converters
Journal: IEEE Transactions on Power Electronics - IEEE TRANS POWER ELECT , vol. 7, no. 1, pp. 17-24, 1992
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    • ...In addition, no matter a system has an equilibrium point or not, the incremental passivity theory can be used to solve a class of problems for the system (Fromion, Scorletti, and Ferreres 1999; Hernandez-Gomez, Ortega, Lamnabhi-Lagarrigue, and Escobar 2010; Hines, Arcak, and Packard 2010; Hamadeh, Stan, Sepulchre, and Goncalves 2012), and has wide applications in many practical fields, for instance, this theory has been applied to the analysis of electrical circuits (Sanders and Verghese 1990), and has also been adopted to the synchronisation analysis problem of coupled oscillators (Stan 2005)...

    Xiaoxiao Donget al. Incremental passivity and output tracking of switched nonlinear system...

    • ...The fact that the nonlinear incremental model of power converters is passive was first established in the foundational paper [4] where a stabilizing switching control for the duty ratio is proposed...
    • ...As indicated in [4] passivity of the nonlinear incremental model is a particular case of incremental passivity [5] and it is called in that paper “relative passivity”...
    • ...In [4], a direct adaptive controller is proposed to estimate the desired operating equilibrium, that depends on uncertain parameters, in particular, the load resistance...
    • ...Even though the estimator of [4] is not implementable with the usual measurable data, i.e., the converter state, an ingenious scheme to indirectly measure a signal that is required by the algorithm is suggested—this signal is a linear combination of voltages and currents, which depends on the specific converter topology; the reader is referred to [4] for further details, see also Remark 3 in Section IV of this brief...
    • ...Even though the estimator of [4] is not implementable with the usual measurable data, i.e., the converter state, an ingenious scheme to indirectly measure a signal that is required by the algorithm is suggested—this signal is a linear combination of voltages and currents, which depends on the specific converter topology; the reader is referred to [4] for further details, see also Remark 3 in Section IV of this brief...
    • ...On the other hand, the linear dependence of on suggests to consider direct estimation of the latter, as done in [4]...
    • ...5 This situation happens in [4], where is denoted ...
    • ...this case without assuming additional measurements—as done in [4]...
    • ...R3) The linear dependence of on suggests to consider direct estimation of the latter, as done in [4]...
    • ...Unfortunately, as it happens in [4], the term multiplying the parameter error in the derivative of the Lyapunov function candidates is (denoted in that paper), which is not measurable...
    • ...It effectively exploits the key property of passivity of the nonlinear incremental model first reported in [4]...

    Michael Hernandez-Gomezet al. Adaptive PI Stabilization of Switched Power Converters

    • ...Sanders and Verghese [16] introduce a Lyapunov-based method that derives a control law for switched power converters...

    Chimaobi N. Onwuchekwaet al. Analysis of Boundary Control for Buck Converters With Instantaneous Co...

    • ...Lyapunov techniques have been used to design controllers that ensure large signalstability forspecific typesof power electronics systems in [7], [14]‐[18]; however, these methods are not useful for analyzing a complex realistic system...

    Benjamin P. Loopet al. Estimating Regions of Asymptotic Stability of Power Electronics System...

    • ...Instead, we exploit the fundamental property of incremental passivity of power converters, first reported in [5], and later extended in [2]—see also [3] for a result for more general nonlinear systems...

    M. Hernandez-Gomezet al. Robust adaptive PI stabilization of a quadratic converter: Experimenta...

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