Linear parameter-varying control for air/fuel ratio in SI engines with parameter dependent time delay

Schulz, Erik; Schultalbers, Matthias; Werner, Herbert

doi:10.1109/acc.2016.7525425

Cited by 2 publications

(2 citation statements)

References 15 publications

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“…The main challenge associated with the MAP regulation problem stems from the physiological and pharmacological variations of the considered system as well as its large varying time-delay, that restrict the application of conventional and timeinvariant control techniques. Robust control methods treat the variations in the plant dynamics as uncertainties and employ time-invariant methods which leads to considerably conservative results [13,14]. Early gain-scheduling control design approaches were based on interpolation, and despite their time-varying nature which adjusts for the system variations, they fail to provide any guarantee for asymptotic stability and/or performance of the time-varying closed-loop system.…”

Section: Introductionmentioning

confidence: 99%

Delay-Dependent Output-Feedback Control for Blood Pressure Regulation Using LPV Techniques

Tasoujian

Grigoriadis

Franchek

2019

Volume 3, Rapid Fire Interactive Presentations: Advances in Control Systems; Advances in Robotics and Mechatronics; Automotive

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This paper presents a delay-dependent parameter-varying control design approach to address the automated blood pressure regulation problem in the critical patient resuscitation using closed-loop administration of vasopressors. The mean arterial pressure (MAP) response of a patient subject to the intravenous vasoactive drug treatment is modeled as a linear parametervarying (LPV) model, where varying model parameters and varying time-delay are considered as scheduling parameters of the system. Parameter-dependent Lyapunov-Krasovskii functionals are used to design an output-feedback dynamic controller to satisfy the closed-loop stability and reference MAP tracking requirements. The synthesis conditions are formulated in terms of Linear Matrix Inequalities (LMIs) that characterize the induced L 2 -norm performance specification of the closed-loop system. The main objectives of the proposed control method in the presence of limitations posed by the time-varying model parameters and the large time-varying delay are to track the MAP reference command and maintain the blood pressure within the permissible range of commanded set-point, avoid undesirable overshoot and slow response, and to provide a smooth drug injection. Finally, to evaluate the performance of the proposed LPV blood pressure regulation approach, closed-loop simulations are conducted and the results confirm the effectiveness of the proposed control method against various simulated scenarios.

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Section: Introductionmentioning

confidence: 99%

Delay-Dependent Output-Feedback Control for Blood Pressure Regulation Using LPV Techniques

Tasoujian

Grigoriadis

Franchek

2019

Volume 3, Rapid Fire Interactive Presentations: Advances in Control Systems; Advances in Robotics and Mechatronics; Automotive

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“…The LMIs are derived under the assumption that the delay rate is upper‐bounded by one. Mixed‐sensitivity design for an LPV AFR controller has been proposed in the work of Schulz et al Padé approximation is used for the delay and a parameter‐dependent weight is considered. Zhao and Nagamune have investigated the problem of optimal switching surfaces in the switching LPV controller design problem and its application to AFR control of an SI engine where the time delay is treated via the Padé approximation.…”

Section: Introductionmentioning

confidence: 99%

Reciprocal convex approach to output‐feedback control of uncertain LPV systems with fast‐varying input delay

Salavati

Grigoriadis

Franchek

2019

Intl J Robust & Nonlinear

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Summary Robust control of parameter‐dependent input delay linear parameter‐varying (LPV) systems via gain‐scheduled dynamic output‐feedback control is considered in this paper. The controller is designed to provide disturbance rejection in the context of the induced scriptL2‐norm or the scriptL2−scriptL∞ norm of the closed‐loop system in the presence of uncertainty and disturbances. A reciprocally convex approach is employed to bound the Lyapunov‐Krasovskii functional derivative and extract sufficient conditions for the controller characterization in terms of linear matrix inequalities (LMIs). The approach does not require the rate of the delay to be bounded, hence encompasses a broader family of input‐delay LPV systems with fast‐varying delays. The method is then applied to the air‐fuel ratio (AFR) control in spark ignition (SI) engines where the delay and the plant parameters are functions of the engine speed and mass air flow. The objectives are to track the commanded AFR signal and to optimize the performance of the three‐way catalytic converter (TWC) through the precise AFR control and oxygen level regulation, resulting in improved fuel efficiency and reduced emissions. The designed AFR controller seeks to provide canister purge disturbance rejection over the full operating envelope of the SI engine in the presence of uncertainties. Closed‐loop simulation results are presented to validate the controller performance and robustness while meeting AFR tracking and disturbance rejection requirements.

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Linear parameter-varying control for air/fuel ratio in SI engines with parameter dependent time delay

Cited by 2 publications

References 15 publications

Delay-Dependent Output-Feedback Control for Blood Pressure Regulation Using LPV Techniques

Delay-Dependent Output-Feedback Control for Blood Pressure Regulation Using LPV Techniques

Reciprocal convex approach to output‐feedback control of uncertain LPV systems with fast‐varying input delay

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