Heaviside Based Optimal Control for Ride Comfort and Actuation Energy Optimisation in Half-Car Suspension Systems

Synthesis of energy­efficient acceleration control law of automobile

“…Papers [1,2] consider choosing rational motion speed under condition of high dynamic indicators of vehicle. Authors of [3] established the relationship between the power of the engine used to accelerate the vehicle, motion speed, and recommended acceleration…”

“…Acceleration of the vehicle from speed V a to speed V a +ΔV a will last before a new equilibrium is reached (the traction balance [3]). In papers [1,2], authors derived an equation that determines the condition for establishing the following equilibrium at a higher speed of the vehicle equal to V a +ΔV a ( ) ( )…”

“…Authors of articles [1,2] derived from equation (3), with respect to relations (1) and (4), a cubic algebraic equation relative to parameter ΔV a (5) The task solved in papers [1,2] implied determining a function ΔV a (V a ) to be followed by obtaining rational speed (V a ), which ensures (ΔV a ) max . The authors of scientific studies [1,2], rather than solving equation (5) using the Cardano's expression, applied approximate and numerical solutions.…”

“…The authors of scientific studies [1,2], rather than solving equation (5) using the Cardano's expression, applied approximate and numerical solutions. Fig.…”

“…Fig. 1 shows dependences ΔV a (V a ), constructed in papers [1,2] employing the approximate and numerical methods without an accurate analytical solution to equation (5).…”