Air-Fuel Ratio Control of Spark Ignition Engines Using a Switching LPV Controller

Postma, M.; Nagamune, Ryozo

doi:10.1109/tcst.2011.2163937

Cited by 55 publications

(39 citation statements)

References 22 publications

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“…Nonetheless, the variation of the engine operating condition impacts all of the aforementioned dynamics. Consequently, a simplified time‐varying MVM integrating all dynamics into a single parameter‐varying first‐order plus dead‐time model that captures the predominant characteristics of the response of the UEGO sensor to a change in injector pulse width has been proposed as

τ false(t false) \overset{y}{true} false(t false) + y false(t false) = β false(t false) u ((), t - θ false(t false)),

where the output

y false(t false) = normalΔ λ_{up} = \frac{AFR - {AFR}_{s t o i}}{{AFR}_{s t o i}}

and the input u ( t )=Δ F λ are characterized by the deviation of the upstream AFR and input AFR (which is proportional to the injection pulse duration), respectively, both measured with respect to a reference value or stoichiometric AFR. Other parameters involved are as follows: β ( t )=1 is the steady state gain, τ ( t ) is the time‐varying time constant of the plant, and θ ( t ) is the overall input delay introduced into the engine.…”

Section: Afr Lpv Control Of Internal Combustion Enginementioning

confidence: 99%

“…The input to the system is regarded as the fuel injector pulse width and the output of the plant is the upstream AFR, y = λ up ( t ). As per the internal model principle and in order to improve the tracking behavior, it is assumed that the integral of the error signal is fed to the controller by

x_{2} = \int e (t) d t,

where e ( t )= r ( t )− y ( t ) and r ( t ) denotes the reference AFR. Moreover, we intend to minimize the effect of disturbances, w ( t )=[ r ( t ) d i ( t )] T , on the oxygen level stored in the TWC,

normalΔ m_{O_{2}} false(t false)

, through the feedback signal provided by the UEGO sensor.…”

Section: Afr Lpv Control Of Internal Combustion Enginementioning

confidence: 99%

See 1 more Smart Citation

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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τ false(t false) \overset{y}{true} false(t false) + y false(t false) = β false(t false) u ((), t - θ false(t false)),

where the output

y false(t false) = normalΔ λ_{up} = \frac{AFR - {AFR}_{s t o i}}{{AFR}_{s t o i}}

Section: Afr Lpv Control Of Internal Combustion Enginementioning

confidence: 99%

x_{2} = \int e (t) d t,

normalΔ m_{O_{2}} false(t false)

, through the feedback signal provided by the UEGO sensor.…”

Section: Afr Lpv Control Of Internal Combustion Enginementioning

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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show abstract

“…It is noted that the term (1,1) in (14) and (15) implies that the open-loop plant can be thought as a shifted system with its A matrix changing to A + λi 2 I, so the same for controller A k matrix. Therefore, if the matrix functions R i (ρ) and S i (ρ) can be solved, then the gains of the switching LPV controllers can be constructed by replacing A and A k in the standard formula by A + λi 2 I and A k + λi 2 I.…”

Section: Switching Control Based On Mdadtmentioning

confidence: 99%

“…In Ref. [14], a switching LPV controller is used to regulate the air-fuel ratio of an internal combustion engine, and all of them have improved system performance in certain extent. Meanwhile, for the purpose of improving design performance and transient responses as switching occurs, a smooth switching strategy has also been developed and various successful control applications have been reported [5,6,10].…”

Section: Introductionmentioning

confidence: 99%

Switching LPV control design with MDADT and its application to a morphing aircraft

You¹,

Li²,

Zhang³

et al. 2017

Kybernetika

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“…The method is applied to both engine torque (TRQ) and exhaust airŰfuel ratio (AFR) control. In [9] a robust to delay errors backstepping control approach is followed and applied for the control of the Air-Fuel Ratio in Spark Ignition engines In [10] a switching controller is proposed based on a multiple local models representation of the combustion engine's air-fuel ratio dynamics and on the solution of Linear Matrix Inequalities (LMIs). In [11] an observer-based estimation approach is developed for the air-fuel ratio in combustion engines, and the use of this estimate by a decoupled PI compensator that is designed for each cylinder so as to compensate the cylinder-by-cylinder variations.…”

Section: Introductionmentioning

confidence: 99%

Flatness-based embedded control of air-fuel ratio in combustion engines

Rigatos¹,

Siano²,

Arsie³

2014

AIP Conference Proceedings

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Articles you may be interested inFlatness-based embedded adaptive fuzzy control of spark ignited engines AIP Conf. Proc. 1618, 241 (2014); 10.1063/1.4897720 Flatness-based nonlinear embedded control and filtering for spark-ignited engines AIP Conf. Proc. 1618, 231 (2014); 10.1063/1.4897719Flatness-based embedded adaptive fuzzy control of turbocharged diesel engines AIP Conf.Abstract. A nonlinear controller is designed for air-fuel ratio control in combustion engines, making use of differential flatness theory and of the Derivative-free nonlinear Kalman Filter. It is proven that the air-fuel ratio system is a differentially flat one and admits dynamic feedback linearization. Using a change of variables that is based on differential flatness theory it is shown that the air-fuel ratio system can be transformed to the linear canonical form, for which the design of a state feedback controller is easier. Moreover, to compensate for modeling uncertainties and external disturbances the Derivativefree nonlinear Kalman Filter is designed as a disturbance observer. The estimation of the perturbations that effect the air-fuel systems enables their compensation through the inclusion of an additional term in the feedback control law. The efficiency of the proposed nonlinear feedback control scheme is tested through simulation experiments.

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Air-Fuel Ratio Control of Spark Ignition Engines Using a Switching LPV Controller

Cited by 55 publications

References 22 publications

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

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

Switching LPV control design with MDADT and its application to a morphing aircraft

Flatness-based embedded control of air-fuel ratio in combustion engines

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