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In this paper, the idle speed control problem is addressed via maximal safe set computation. A hybrid model of the engine in idle mode is used. The solution is based on the transformation of the continuous dynamics from the time-domain to the crank-angle domain and on the linearization and discretization of these dynamics. A ‡exible and portable algorithm in the discrete-time domain is proposed for the determination of the maximal safe set. Simulation results show the e¢ciency of the proposed approach.

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Idle speed control of a spark ignition engine is studied via a control invariant approach. A hybrid system describes torque generation at cycle-level. The continuous-time dynamics is reset at prescribed crankshaft angles. Timediscretization allows to handle delays in the control loop and constraints on state and control variables in a simple form by means of a control invariant technique. The synchronization problem is solved by a robust extension of the same technique. Controller implements a piecewise-linear state-feedback law. Copyright c 2005 IFAC.

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