In the spirit of the recent articles in [5], featuring Classical Controls Revisited, a Phase-Lock Loop concept is applied to an automotive air-fuel ratio closed-loop control system. This classical solution is analyzed, simulated, and experimentally implemented in a vehicle. The results demonstrate that the automobile engine air-fuel ratio system can be controlled to robustly meet emissions and driving performance requirements by using a simple classical control methodology with feedback from the common switching oxygen sensor.
IntroductionA comprehensive survey of automotive engine control systems is available as a tutorial from 2005, [14]. In particular, the tutorial exemplifies air-fuel ratio (A/F) control with torque control, reviewing a number of approaches used by different researchers. Due to the plethora of linear model-based control techniques, a good number of references from [14] and elsewhere, choose to employ wide-range oxygen sensors for the feedback measurement. For example, [11] facilitates the use of an H ∞ control law design by linearizing the system model and closing the loop with the linear wide-range oxygen sensor; [2] first demonstrates successful transient air-fuel ratio control with an estimator built in event space, using linear feedback measurements; [4] produced an impressively robust predictive observer air-fuel ratio control system requiring the linear oxygen sensor for feedback information; and [9] uses the linear oxygen sensor to venture into constructing semi-positive definite control lyapunov functions to nonlinearly control both the fuel and air such that torque and air-fuel ratio specifications can be met. There are potentially a variety of alternatives to the wide-range oxygen sensor measurement for closing the loop on the air-fuel ratio system, such as using individual cylinder pressure sensors to provide peak pressure and its associated crank angle per firing to sustain engine air-fuel ratio operations that may not be stoichiometric. But for gasoline automotive engines