Inverse Dynamic Simulation of Non-Quadratic MIMO Powertrain Models -Application to Hybrid Vehicles

The method for stable inversion of nonlinear systems has earlier been demonstrated as an efficient tool in inverse dynamic vehicle propulsion simulation. However, that method is restricted to quadratic systems, i.e. systems with equally many inputs and outputs. Here that restriction is relaxed for typical vehicle propulsion simulation where the number of inputs, e.g. accelerator pedal and brake pedal, are greater than the number of outputs, e.g. vehicle speed. Also restrictions to states and inputs resulting in time varying system order and relative degree is discussed. A model of a parallel hybrid vehicle is used for demonstration