LMI based robust control design for multi-input–single-output DC/DC converter

Mahmoudi, Mohsen; Safari, Amin

doi:10.1007/s40435-018-0449-4

Cited by 9 publications

(2 citation statements)

References 21 publications

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“…Furthermore, undesirable inputs, such as disturbances, should be considered; Oh et al [35] focused on reducing the impact of disturbances on specific applications in this manner. In [36][37][38][39], the authors focused on the design of robust controllers for linear systems with uncertainty and disturbance. These controllers considered stabilizing the plant for all conceivable parameter uncertainties, as well as providing a preferred reduction level for uncontrollable external disturbances.…”

Section: Introductionmentioning

confidence: 99%

H∞ Robust LMI-Based Nonlinear State Feedback Controller of Uncertain Nonlinear Systems with External Disturbances

Chatavi

Mobayen

et al. 2022

Mathematics

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In this paper, we propose a nonlinear state feedback controller based on linear matrix inequality (LMI) for a class of nonlinear systems with parametric uncertainties and external disturbances. The primary goals of the proposed controller are to guarantee system stability and performance in the presence of system uncertainties and time-dependent disturbances. To meet the specified objectives, the LMI form is calculated as a hierarchical control structure. Using the Lyapunov stability function, the asymptotic stability of the nominal system obtained from the nonlinear state feedback is proven, and the LMI condition is attained. After applying the nonlinear state feedback controller, asymptotic stability conditions for the nominal system are constructed using the Lyapunov function, and the nonlinear state-feedback control mechanism is determined accordingly. Considering the external disturbance as input, the terms of the state matrices are substituted in the obtained LMI, and the LMI condition for a nominal system is achieved in the presence of disturbances. The asymptotic stability condition of the uncertain system in the presence of external disturbances is determined by adding uncertainties to the system. The proposed approach yields a simple control mechanism representing an independent of system order. The performance of the proposed approach was assessed using a simulation study of a ball and beam system.

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Section: Introductionmentioning

confidence: 99%

H∞ Robust LMI-Based Nonlinear State Feedback Controller of Uncertain Nonlinear Systems with External Disturbances

Chatavi

Mobayen

et al. 2022

Mathematics

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“…Studies on LMI-based synthesis of robust controllers applied to single-port DC-DC converters have also been published by Costa et al (2017), Olalla et al (2011), Olalla et al (2010), and Montagner et al (2011), where uncertainties of the converter model were taken into account in the design. In Mahmoudi and Safari (2019), a H ' robust controller for a multi-input-single-output DC-DC converter is proposed. However, the load is not isolated and the uncertainties in the input sources were not considered.…”

Section: Introductionmentioning

confidence: 99%

Robust control of a DC-DC three-port isolated converter

Rios

Nogueira

Torrico

et al. 2021

Transactions of the Institute of Measurement and Control

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This work presents the design of state-feedback robust control law for a DC-DC three-port isolated converter, which interfaces a photovoltaic panel, a rechargeable battery, and an isolated output DC bus. First, the converter is represented through a state-space model that considers disturbances in both the photovoltaic and bidirectional (battery) input ports. The system is linearized around an average operational point, such that robust control techniques can be applied. Due to varying solar irradiation, battery charge, and load levels, the converter is subjected to step-like disturbances. The proposed controller is designed to maintain stabilization and voltage tracking performance in the presence of these disturbances. This approach is different from multiport control strategies usually employed in the literature, which are based on decentralized controllers that require the use of decoupling techniques that can lead to control problems. To ensure robustness, stabilization, and voltage tracking, an [Formula: see text] approach with pole placement restrictions and based on linear matrix inequality (LMI) constraints is formulated and solved. Finally, the performance of the proposed controller has been verified via hardware-in-the-loop (HIL) experiments and compared with a decentralized control strategy.

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Robust versus optimal control for the radius of spherical bubble in a perfect incompressible liquid, LMI optimization approach

Badfar

Ardestani

2019

Int. J. Dynam. Control

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LMI based robust control design for multi-input–single-output DC/DC converter

Cited by 9 publications

References 21 publications

H∞ Robust LMI-Based Nonlinear State Feedback Controller of Uncertain Nonlinear Systems with External Disturbances

H∞ Robust LMI-Based Nonlinear State Feedback Controller of Uncertain Nonlinear Systems with External Disturbances

Robust control of a DC-DC three-port isolated converter

Robust versus optimal control for the radius of spherical bubble in a perfect incompressible liquid, LMI optimization approach

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