A robustly stable output feedback saturated controller for the boost DC-to-DC converter

Rodríguez, H.; Ortega, Roméo; Escobar, G.; Barabanov, Nikita

doi:10.1016/s0167-6911(99)00113-9

Cited by 110 publications

(57 citation statements)

References 4 publications

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“…Theorem 3 [10] If φ n (t) is such that G n (t) > 0, ∀t ≥ 0, then equation (19) has one and only one T -periodic solution z 2n (t) in R + , which is asymptotically stable.…”

Section: Indirect Output Tracking Controlmentioning

confidence: 99%

“…Finally, let {z 2n } denote the sequence of output responses derived from the use of the elements of {φ n } in (19). Then: 2.…”

Section: Indirect Output Tracking Controlmentioning

confidence: 99%

“…However, efforts with nonlinear converters boost and buck-boost, which are candidates to carry out step-up conversion tasks, are handicapped by its well-known nonminimum phase character when direct control over the output voltage is exerted. Indeed, direct control methodologies that have been successfully used for regulation purposes [19,28] have otherwise reported no results on tracking tasks. This has usually led research to stable inversion control schemes that propound an indirect control of the output voltage via the input current [2].…”

Section: Introductionmentioning

confidence: 99%

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A functional iterative approach to the tracking control of nonminimum phase switched power converters

Fossas

Olm

2009

Math. Control Signals Syst.

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In this article, we introduce a methodology that, under appropriate assumptions, provides exact output voltage tracking of smooth periodic references in a class of nonminimum phase, single-input, basic DC-to-DC nonlinear switched power converters by means of a stable inversion approach. Firstly, a C 1 periodic (thus bounded) reference for the nonminimum phase variable that solves the corresponding stable inversion problem, rather than being numerically obtained, is approximated using a Banach's fixed-point theorem-based iterative procedure that produces an L ∞ norm convergent sequence of C 1 periodic functions that are analytically computable in the closed form. Any element of the sequence may then be used as a reference profile for the nonminimum phase variable in an indirect, state feedback control action that includes exact tracking and stabilizing components as well. In turn, the tracking dynamics of the system yields a sequence of periodic and asymptotically stable output signals that converges in the L ∞ norm to the original output voltage profile. Furthermore, the explicit dependence of the approximate indirect references on the system parameters may provide robustness to piecewise constant disturbances by means of online dynamic compensation. The technique is exemplified on a buck-boost converter and validated through simulation results.

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“…Theorem 3 [10] If φ n (t) is such that G n (t) > 0, ∀t ≥ 0, then equation (19) has one and only one T -periodic solution z 2n (t) in R + , which is asymptotically stable.…”

Section: Indirect Output Tracking Controlmentioning

confidence: 99%

“…Finally, let {z 2n } denote the sequence of output responses derived from the use of the elements of {φ n } in (19). Then: 2.…”

Section: Indirect Output Tracking Controlmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A functional iterative approach to the tracking control of nonminimum phase switched power converters

Fossas

Olm

2009

Math. Control Signals Syst.

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“…A more advanced technique, namely the interconnection and damping assignment passivity-based technique (IDA-PBC), overcomes these problems and can be effectively applied. The method ensures stability and closed-loop robustness since it is independent from the system parameters [5]. Nowadays, this control method is the most advanced and effective control method for boost converters.…”

Section: Introductionmentioning

confidence: 99%

“…Figure 1 shows a dc/dc boost converter connected to a single resistor. The average model of the system is given by [4], [5]:…”

Section: Introductionmentioning

confidence: 99%

A new nonlinear dynamic output voltage controller for power dc/dc boost converters

Konstantopoulos¹,

Alexandridis²

2010

7th Mediterranean Conference and Exhibition on Power Generation, Transmission, Distribution and Energy Conversion (MedPower 201

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A new nonlinear control scheme suitable for dc/dc power boost converters is presented. As shown in the paper, the proposed controller is capable of regulating the converter output at the desired level independently from the kind of the load. It is proven that in both cases, i.e. of a pure resistance load and a resistance-inductance load, the controller preserves the passivity property which is a fundamental property of the open-loop system guaranteeing a satisfactory response. This is the main advantage of the proposed controller against other advanced standard techniques, such as the IDA-PBC design which may fail in cases where resistanceinductance load appears. Simulation results that include comparisons with the IDA-PBC controller performance, demonstrate the superiority of the proposed approach.

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Optimal control of a single‐phase H‐bridge DC–AC inverter

Miladi

Feki

Derbel

2015

Circuit Theory & Apps

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The control of switched power converters has been mostly accomplished using pulse width modulation (PWM). Under this type of control, it has been shown in literature that DC-AC current mode singlephase inverter may exhibit chaotic behavior if the proportional controller of the PWM modulator is badly tuned. In this work, we present a novel method to control the inverter using an optimal control approach. Our method consists in defining the switching instances in order to achieve the reference current with minimum error. To illustrate the efficiency of our proposed method, numerical simulations and comparison with the proportional and integral controller as well as to the proportional and resonant controller are presented.

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A robustly stable output feedback saturated controller for the boost DC-to-DC converter

Cited by 110 publications

References 4 publications

A functional iterative approach to the tracking control of nonminimum phase switched power converters

A functional iterative approach to the tracking control of nonminimum phase switched power converters

A new nonlinear dynamic output voltage controller for power dc/dc boost converters

Optimal control of a single‐phase H‐bridge DC–AC inverter

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