Engine EGR Valve Modeling and Switched LPV Control Considering Nonlinear Dry Friction

Exhaust gas recirculation valves used in internal combustion engines are highly nonlinear due to its nonlinear mechanism and dry friction dominated at low valve speed that could lead to large steady-state displacement errors. A multiple friction factor model is adopted in this article using a switch...

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Bibliographic Details
Published in:IEEE/ASME transactions on mechatronics 2020-06, Vol.25 (3), p.1668-1678
Main Authors: Qu, Shen, He, Tianyi, Zhu, Guoming G.
Format: Article
Language:English
Subjects:
Closed loop systems
Coefficient of friction
Computer simulation
Controllers
Convexity
Dry friction
Dry friction model
Engine valves
Exhaust gases
Force
Friction
Friction factor
Gain scheduling
Internal combustion engines
Linear matrix inequalities
linear parameter-varying (LPV) control
Mathematical models
mechatronics
Modelling
Nonlinear control
Optimization
Parameter varying control
Proportional integral derivative
switched LPV control
Switches
Torque
valve control
Valves
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Summary:Exhaust gas recirculation valves used in internal combustion engines are highly nonlinear due to its nonlinear mechanism and dry friction dominated at low valve speed that could lead to large steady-state displacement errors. A multiple friction factor model is adopted in this article using a switched linear parameter-varying (LPV) modeling approach, where the scheduling parameter is the friction coefficient as a function of valve speed. Switched gain-scheduling LPV controllers are designed based on the hysteresis switching logic with guaranteed {\mathscr{H}}_{\infty } performance, where parameterized linear matrix inequality (LMI) conditions are relaxed to a set of LMI conditions for synthesizing the switched LPV controllers by convex optimization. The LPV control performance is compared with that of proportional-integral-derivative controllers through both simulation and experimental studies, showing a notable improvement in the system response performance and robustness.
ISSN:1083-4435
1941-014X
DOI:10.1109/TMECH.2020.2982315