Enhanced Bounded Integral Control of Input-to-State Stable Nonlinear Systems

Konstantopoulos, George C.

doi:10.1016/j.ifacol.2017.08.1257

Cited by 10 publications

(16 citation statements)

References 25 publications

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“…where c represents the integral gain (for more details the reader is referred to [22]). Hence, (4)-(5) represent bounded integral control dynamics without the need of a saturation unit that may lead to instability.…”

Section: Bidirectional Dc/dc Power Converter Modelmentioning

confidence: 99%

“…The proposed controller introduces a constant virtual resistance and a varying voltage based on nonlinear dynamics that aim to accomplish the desired output voltage regulation. Inspired by the enhanced version of the bounded integral controller [22], the voltage dynamics are formulated to satisfy given bounds and can take both positive and negative values enabling the bidirectional power flow, required by the converter application. Based on nonlinear input-to-state stability (ISS) theory, the converter current is rigorously proven to remain limited below a given maximum value that can be provided by the technical requirements of the converter.…”

Section: Introductionmentioning

confidence: 99%

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Bidirectional Dc/Dc Power Converters with Current Limitation Based on Nonlinear Control Design

Konstantopoulos

Alexandridis

2018

2018 26th Mediterranean Conference on Control and Automation (MED)

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A new nonlinear controller for bidirectional dc/dc power converters that guarantees output voltage regulation with an inherent current limitation is proposed in this paper. In contrast to traditional single or cascaded PI controllers with a saturation unit that can lead to integrator windup and instability, the proposed controller is based on a rigorous nonlinear mathematical analysis and, using Lyapunov stability theory, it is proven that the current of the converter is always limited without the need of additional saturation units or limiters. The proposed concept introduces a virtual resistance at the input of the converter and a controllable voltage that can take both positive and negative values leading to bidirectional power flow capability. The dynamics of this voltage are proven to remain bounded and with a suitable choice of the voltage bound and the virtual resistance, the upper limit for the converter current is guaranteed at all times, even during transients. Simulation results for a bidirectional converter equipped with the proposed controller are presented to verify the current-limiting capability and the desired voltage regulation.

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Section: Bidirectional Dc/dc Power Converter Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Bidirectional Dc/Dc Power Converters with Current Limitation Based on Nonlinear Control Design

Konstantopoulos

Alexandridis

2018

2018 26th Mediterranean Conference on Control and Automation (MED)

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“…Differently from [9], [10], [11], in this paper a novel approach for HOSM saturation is proposed. The proposed control architecture is based on the combination of a discontinuous HOSM strategy with the so-called Bounded Integral Control, initially introduced in [13] and then enhanced in [14]. It is worth highlighting that, while in [13], [14], BIC is used to replace classical integral control, in this paper it is instrumental for developing a generic sliding mode control with desaturation properties.…”

Section: Introductionmentioning

confidence: 99%

A Saturated Higher Order Sliding Mode Control Approach for DC/DC Converters

Russo

Incremona

Cavallo

2022

2022 IEEE 17th International Conference on Control &Amp; Automation (ICCA)

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This paper presents a novel approach of designing saturated Higher-Order Sliding Mode (HOSM) controllers for a class of DC/DC converters. Specifically, the proposed controller aims at guaranteeing boundedness and smoothness of the duty cycle feeding the Pulse-Width-Modulator. The novel control architecture consists of the so-called Bounded Integral Control (BIC) combined with a discontinuous HOSM control algorithm. The main strength of the proposed approach is its general applicability to a large class of DC/DC converters. Numerical results testify the effectiveness of the proposed approach.

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“…While the aforementioned approaches offer global or semiglobal stability guarantees, they do not tackle the problem of constraint satisfaction (input or state constraints), which arises from safety requirements and actuator limitations in a real engineering system. Although the output regulation problem with input constraint satisfaction has been well studied and addressed via antiwindup methods or bounded integral control, a state constraint requirement often creates the need for more advanced control methods that change the traditional PID control architecture. Safety of operation and stability guarantees are essential in modern processes such as power networks, motor control applications, and chemical processes.…”

Section: Introductionmentioning

confidence: 99%

State‐limiting PID controller for a class of nonlinear systems with constant uncertainties

Konstantopoulos

Baldivieso‐Monasterios

2019

Intl J Robust & Nonlinear

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Summary Proportional Integral Derivative (PID) controllers still represent the core control method for achieving output regulation of either linear or nonlinear systems in the majority of industrial applications. However, conventional PID control cannot guarantee specific state constraint requirements for the plant, when the system introduces uncertainties. In this paper, a novel nonlinear PID control that achieves output regulation and guarantees a desired state limitation below a given value for a wide class of nonlinear systems with constant uncertainties is proposed. Using nonlinear ultimate boundedness theory, it is shown that the proposed state‐limiting PID (sl‐PID) control maintains a given bound for the desired system states at all times, ie, even during transients, whereas an analytic method for selecting the controller gains is also presented to ensure closed‐loop system stability and convergence at the desired equilibrium. Two nonlinear engineering examples that include an electric motor and a dc/dc converter are investigated using the conventional PID and the proposed sl‐PID to validate the superiority of the proposed controller in achieving the desired output regulation with a given bounded state requirement.

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Enhanced Bounded Integral Control of Input-to-State Stable Nonlinear Systems

Cited by 10 publications

References 25 publications

Bidirectional Dc/Dc Power Converters with Current Limitation Based on Nonlinear Control Design

Bidirectional Dc/Dc Power Converters with Current Limitation Based on Nonlinear Control Design

A Saturated Higher Order Sliding Mode Control Approach for DC/DC Converters

State‐limiting PID controller for a class of nonlinear systems with constant uncertainties

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