Optimization of gear ratio with the objectives of fuel consumption reduction and vehicle longitudinal performance improvement\r\nhas been the subject of many studies for years. Finding a strategy for changing gears with specific control objectives, especially in\r\nthe design of vehicles equipped with Continuously Variable Transition system (CVT), which has advantage of arbitrary selection\r\nof gear ratio, has been the aim of some recent researches. Optimal control theory has rarely been used in the previous control\r\napproaches applied to such systems due to the limitations in the use of fast computational systems. The aim of this study is to\r\ndesign the aforementioned gear ratio change strategy and related control rules on the basis of optimal control. A driver model is\r\nalso designed for the simulation of driving cycle usingMATLAB Simulink Toolbar. Results of implementing optimal control rules\r\nin vehicle longitudinal movement simulation with the aim of fuel consumption reduction are finally represented. The presented\r\nmethod has the remarkable advantage of considerable fuel consumption reduction in comparison to other proposed approaches\r\nfor gear ratio change strategies.
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