Abstract
Understanding critical situations and risks while driving ensures a safe drive, this will only be achieved by vehicle dynamic behavior and a good knowledge of road attributes, an unknown inputs functional observer is developed and presented in this study to estimate the vehicle’s unmeasured states in real-time and the unknown input, it is mainly about the road bank angle and it is based on a measured output and a known input. The design conditions for functional observer proposed are expressed by Lyapunov-Krasovskii stability theory using convergence conditions and solving linear matrix inequalities (LMIs). The solutions to these LMIs are used to determine the observer parameters.
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