Haar wavelet-based robust optimal control for vibration reduction of vehicle engine-body system

This paper deals with the modeling and robust control of bounce and pitch vibration for the engine-body vibration structure using Haar wavelets. The authors' attention is focused on the development of the Haar wavelet-based robust optimal control for vibration reduction of the engine-body system computationally that guarantees desired L ₂ gain performance. The properties of Haar wavelet are introduced and utilized to find the trajectories and robust optimal control approximately, by solving only algebraic equations instead of solving the Riccati differential equation. Numerical results are presented to illustrate the advantage of the approach.