Design of feedback control laws for switching regulators based on the bilinear large signal model

Fen, Chen; Cai, Xuan

doi:10.1109/63.53161

Cited by 40 publications

(13 citation statements)

References 5 publications

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“…For the sake of comparison, the same example as in [1] and [6] is used here: a boost regulator operating in continuous conduction mode (Fig. 2) The condition (11) can be solved graphically; the roots of the above equations are inside the unit circle, with , negative, if ( , ) are inside the surface ( ) in Fig.…”

Section: Example and Discussionmentioning

confidence: 99%

“…Equation (7) is valid for the nonsaturated region of the PWM. Using (7) and perturbing the discrete-time equation in (5) according to (6), one gets the nonlinear model of variation of the state vector for the closed-loop converter …”

Section: Outline Of the Methodsmentioning

confidence: 99%

“…If and intersect in more than one point, it means that more real equilibrium points , for different real , occur, implying instability. Let's note that solutions larger than or smaller than - do not create troubles, as they give nonreal values for , in (6). This is equivalent to the saturation of the PWM: the duty cycle is limited to the range [0 1].…”

Section: Second Design Constraint On Feedback Gain Vector For Globmentioning

confidence: 97%

“…An iterative way for a global-stability-oriented design of the feedback gain matrix is given in [6], where the Lyapunov criterion is applied to a system derived from the averaged model of the regulator. 1057-7122/97$10.00 © 1997 IEEE The purpose of this paper is to present a new method for finding the boundaries of the feedback gains that define the region inside which global stability is ensured.…”

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confidence: 99%

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Design of feedback gain vector of two-state basic PWM multifeedback regulators for large-signal stability

Chung

Ioinovici

1997

IEEE Trans. Circuits Syst. I

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A method for determining boundaries on the feedback gains in a switching regulator with multiple feedback, in order to ensure stability for large changes in the load values, is developed. Using an original approach for time-domain analysis, a large-signal, nonlinear, discrete-time model of the closed-loop converter is obtained; the model's equations are expressed in disturbances of the state variables due to disturbance in the load. The first step toward a global stability design is to find the constraint that ensures local stability around the operating point: the nonlinear terms (products of disturbances) are neglected in the model, the z-transform is applied to the linearized equations, and the condition that the eigenvalues are situated inside the unit circle is imposed. The nonlinear model, including the nonlinearity of the pulsewidth modulation (PWM), due to possible saturation, is then considered. A new constraint in terms of feedback gains is found in order to ensure that one and only one real equilibrium point (i.e., the quiescent operating point) exists. Putting together the constraints, boundaries on the feedback gains are found. The method is developed for converters containing two reactive elements, operating in continuous conduction mode. An example of a boost converter with inductor current and output voltage feedback is presented in detail. The large-signal stability of the design is checked by using the state-plane portrait and timedomain simulation.Index Terms-Large signal stability design, modeling technique, power electronics.

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Section: Example and Discussionmentioning

confidence: 99%

Section: Outline Of the Methodsmentioning

confidence: 99%

Section: Second Design Constraint On Feedback Gain Vector For Globmentioning

confidence: 97%

mentioning

confidence: 99%

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Design of feedback gain vector of two-state basic PWM multifeedback regulators for large-signal stability

Chung

Ioinovici

1997

IEEE Trans. Circuits Syst. I

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“…Designs are valid so-called small-signal mode. If otherwise, a largesignal model is required for proper analysis and synthesis (e.g., Chen and Cai, 1990;Sira -Ramirez and co-authors, 1997). Based on a similar study for boost converter by Grasa (2000), Serafimovski (2001) carried out a large-signal design has been elaborated for the buck-boost topology.…”

Section: Timely Research While Teaching Advanced Controlsmentioning

confidence: 99%

Knowledge and Technology Transfer: Novel Results While Teaching Advanced Courses

Dimirovski

Serafimovski

et al. 2005

IFAC Proceedings Volumes

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Graduate studies in fields of Engineering typically include advanced control theory. In turn, these courses enhance both academic and applied research, hence contributing to combined knowledge and technology transfer, in particular if supported by industry as well. This paper reports on such fruitful experiences at our universities through the math-analytical back-stepping and state-feedback control design methodologies. Computer simulation and laboratory experiments have demonstrated these controller designs possess quality performances, which are comparable with the other designs for the same applications.

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Some Results on Nonlinear Control in Power Elecfronics Applications

Bacha

Duby²,

Oyarbide

et al. 1997

IFAC Proceedings Volumes

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Design of feedback control laws for switching regulators based on the bilinear large signal model

Cited by 40 publications

References 5 publications

Design of feedback gain vector of two-state basic PWM multifeedback regulators for large-signal stability

Design of feedback gain vector of two-state basic PWM multifeedback regulators for large-signal stability

Knowledge and Technology Transfer: Novel Results While Teaching Advanced Courses

Some Results on Nonlinear Control in Power Elecfronics Applications

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