Generation of Optimal Voltage Reference for Digital Control-Based Switching Power Supply

Hashimoto, Seiji; Naka, S.; Sosorhang, U.; Honjo, Nobuyuki

doi:10.1109/appeec.2011.5748885

Cited by 3 publications

(4 citation statements)

References 3 publications

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“…Therefore, E is an invariant set of the system (16). Beside, 2 , which represents a measure of the distance to the limit cycle, is chosen as the Lyapunov function for Theorem 1. Note that H d (0…”

Section: Nominal Control Designmentioning

confidence: 99%

“…Repetitive patterns are demanded behaviors in many practical systems. [1][2][3][4] For example, in a walking robot, the foot motion follows a repetitive pattern. This behavior can be described by an attractive limit cycle in the phase trajectories of the dynamical system [5][6][7][8] The limit cycle is an isolated periodic orbit in the phase plane, which is a very rich dynamical behavior in the nonlinear dynamical systems.…”

Section: Introductionmentioning

confidence: 99%

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Robust Stable Limit Cycle Generation in Multi-Input Mechanical Systems

Binazadeh

Karimi

2021

Robotica

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SUMMARY This paper proposes a robust controller for the generation of stable limit cycles in multi-input mechanical systems subjected to model uncertainties. The proposed idea is based on Port-Controlled Hamiltonian (PCH) model and energy-based control by considering the Hamiltonian function as the Lyapunov function. For this purpose, first, a nominal controller is designed by shaping the energy function of the system according to the structure of the desired limit cycle. Then, an additional robustifying control term is designed based on the integral sliding mode method with the selection of an appropriate sliding surface. Finally, computer simulations for two practical case studies are provided to confirm the effectiveness of the proposed controller in the generation of stable limit cycles in the presence of uncertainties.

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Section: Nominal Control Designmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Robust Stable Limit Cycle Generation in Multi-Input Mechanical Systems

Binazadeh

Karimi

2021

Robotica

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“…Generating the sustained oscillations in nonlinear dynamical systems is one of the most important subjects in control engineering, which has arisen from the necessity and applicability of such behavior in many practical engineering problems, such as buck-boost converters (Pagano et al., 2005), switching power supplies (Biel et al., 2001; Hashimoto et al., 2012), walk cyclic patterns (Hobbelen et al., 2008; Solomon et al., 2010), micro-electromechanical systems (Teplinsky and Feely, 2008) and so on.…”

Section: Introductionmentioning

confidence: 99%

Inducing sustained oscillations in a class of nonlinear discrete time systems

Hakimi

Binazadeh

2016

Journal of Vibration and Control

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Inducing sustained oscillations in a class of nonlinear discrete time systems is studied in this paper. The novelty of this paper is based on the proposed approach in generating stable oscillations according to limit cycle control. The limit cycle control is not formulated for nonlinear discrete time systems of any order and this paper concentrates on this issue. Considering the stable limit cycle as a positive limit set for the dynamical system, a nonlinear control law is designed to create the considered limit cycle in the phase trajectories of the closed-loop nonlinear discrete time system to achieve oscillations with the desirable amplitude and frequency. For this purpose, firstly, the limit cycle control is proposed for second-order nonlinear discrete time systems. The stability analysis of the generated limit cycle is done via a suitable Lyapunov function. Also, the domain of attraction of the created limit cycle is calculated. The proposed method is then extended for nonlinear discrete time systems of any order via the backstepping technique. Finally, computer simulations are performed for a practical example to demonstrate the ability of the designed controller in generating stable oscillations.

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“…A method for increasing the effective analogue-to-digital (A/D) resolution, and therefore, reducing quantization effects for a current-mode controlled buck converter is presented in [27], although once again the limit cycles are only reduced in amplitude. In [28], the authors present a method for adjusting the value of reference voltage such that the limit cycle oscillation is at a minimum. The effect of the various approaches shown in these papers is only to reduce the amplitude of limit cycles, rather than guaranteeing their removal from the system.…”

Section: Introductionmentioning

confidence: 99%

Control of limit cycle oscillations in a multiple‐sampled digitally controlled buck converter

Bradley

Alarcón

Feely

2013

Circuit Theory & Apps

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SUMMARYDigital control in switching power converters has been proposed and researched in recent years. However, one of the problems which arise in these circuits is that of quantization-induced limit cycle oscillations, which are generally considered to be undesirable. In this work, we investigate the addition of new control terms in the feedback loop of the system, in order to actively prevent these limit cycles from occurring. Firstly, the addition of a sinusoidal signal is considered, and then a more complicated signal which focuses on interrupting how the system switches between duty cycle levels is presented. The methods are effective in removing the limit cycle oscillations which arise in the system.

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Generation of Optimal Voltage Reference for Digital Control-Based Switching Power Supply

Cited by 3 publications

References 3 publications

Robust Stable Limit Cycle Generation in Multi-Input Mechanical Systems

Robust Stable Limit Cycle Generation in Multi-Input Mechanical Systems

Inducing sustained oscillations in a class of nonlinear discrete time systems

Control of limit cycle oscillations in a multiple‐sampled digitally controlled buck converter

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