Optimal switching instants for a switched-capacitor DC/DC power converter

Loxton, Ryan; Teo, Kok Lay; Rehbock, Volker; Ling, Wing‐Kuen

doi:10.1016/j.automatica.2008.10.031

Cited by 106 publications

(82 citation statements)

References 17 publications

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“…Several approaches have been proposed in the literature such as passivity based methods [19] and sliding modes techniques [18]. Recently, hybrid approaches have been proposed for stabilization and optimal control of these devices [7,5,12] or for the determination of optimal switching instants posed as a non-smooth dynamic optimization problem [11]. We adopt below the classical "averaging" approach, so that the controlled converter 1 is modeled by a system of ODE's with a control acting on one of the coefficients.…”

Section: Introduction and Main Resultsmentioning

confidence: 99%

Nonlinear control of a coupled PDE/ODE system modeling a switched power converter with a transmission line

Daafouz

Tucsnak

Valein

2014

Systems & Control Letters

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We consider an infinite dimensional system modelling a boost converter connected to a load via a transmission line. The governing equations form a system coupling the telegraph partial differential equation with the ordinary differential equations modeling the converter. The coupling is given by the boundary conditions and the nonlinear controller we introduce. We design a nonlinear saturating control law using a Lyapunov function for the averaged model of the system. The main results give the well-posedness and stability properties of the obtained closed loop system.

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Section: Introduction and Main Resultsmentioning

confidence: 99%

Nonlinear control of a coupled PDE/ODE system modeling a switched power converter with a transmission line

Daafouz

Tucsnak

Valein

2014

Systems & Control Letters

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“…However, this is usually not the case in practice; the nominal estimates are only approximations of the true model parameters. Thus, inspired by the work in [21][22][23][24][25][26], we consider the following measure of system sensitivity with respect to the uncertain model parameters:…”

Section: Optimal Control Versus Robust Control: a Trade-offmentioning

confidence: 99%

“…The dynamic model contains 9 uncertain model parameters, and the influence that these parameters exert on the final 1,3-PD yield needs to be minimized. Thus, inspired by the work in [21][22][23][24][25][26], we propose an optimal control formulation that incorporates a non-standard sensitivity term to measure the sensitivity of the 1,3-PD yield with respect to the uncertain parameters. The trade-off in the objective function between process sensitivity and process yield is governed by a non-negative weight factor.…”

Section: Introductionmentioning

confidence: 99%

Robust Optimal Control of a Microbial Batch Culture Process

Cheng

Wang

Loxton

et al. 2014

J Optim Theory Appl

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This paper considers the microbial batch culture process for producing 1,3-propanediol (1,3-PD) via glycerol fermentation. Our goal was to design an optimal control scheme for this process, with the aim of balancing two (perhaps competing) objectives: (i) the process should yield a sufficiently high concentration of 1,3-PD at the terminal time and (ii) the process should be robust with respect to changes in various uncertain system parameters. Accordingly, we pose an optimal control problem, in which both process yield and process sensitivity are considered in the objective function. The control variables in this problem are the terminal time of the batch culture process and the initial concentrations of biomass and glycerol in the batch reactor. By performing a time-scaling transformation and introducing an auxiliary dynamic system to calculate process sensitivity, we obtain an equivalent optimal control problem Communicated by Mimmo Iannelli. 123J Optim Theory Appl in standard form. We then develop a particle swarm optimization algorithm for solving this equivalent problem. Finally, we explore the trade-off between process efficiency and process robustness via numerical simulations.

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“…The switching signal selects an active mode at every instant of time, that is, the system from the family that is currently being followed. As a special class of hybrid systems, switched systems arise in a variety of applications, such as biological systems [1], automobiles and locomotives with different gears [2], DC-DC converters [3], manufacturing processes [4], and shrimp harvesting mode [5]. Many interesting results for switched systems have been reported in the literature [6][7][8][9].…”

Section: Introductionmentioning

confidence: 99%

Input‐to‐State Stability of Nonlinear Switched Systems via Lyapunov Method Involving Indefinite Derivative

Peng

Cao

2018

Complexity

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This paper studies the input-to-state stability (ISS) of nonlinear switched systems. By using Lyapunov method involving indefinite derivative and average dwell-time (ADT) method, some sufficient conditions for ISS are obtained. In our approach, the timederivative of the Lyapunov function is not necessarily negative definite and that allows wider applications than existing results in the literature. Examples are provided to illustrate the applications and advantages of our general results and the proposed approach.

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Optimal switching instants for a switched-capacitor DC/DC power converter

Cited by 106 publications

References 17 publications

Nonlinear control of a coupled PDE/ODE system modeling a switched power converter with a transmission line

Nonlinear control of a coupled PDE/ODE system modeling a switched power converter with a transmission line

Robust Optimal Control of a Microbial Batch Culture Process

Input‐to‐State Stability of Nonlinear Switched Systems via Lyapunov Method Involving Indefinite Derivative

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