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The opportunities offered by fuzzy logic to build maps for robot navigation are investigated. Characteristics of points of the space (occupied, free, uncertain, etc.) are easily expressed through set theoretical operations. Real-world experiments validate the approach. The experimental set-up is based on modified Polaroid ultrasonic sensors; however, the approach can be easily extended to incorporate...
A new stability test method for linguistic fuzzy state space models is proposed in this paper. This method allows the determination of stability of fuzzy models by applying the Lyapunov function to each rule. A gradient-based algorithm is suggested to simplify the stability tests. Using this algorithm, the Lyapunov equation can be updated towards the direction where the stability can be determined...
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