No abstract

No abstract

In this article, a robust color-edge feature extraction method based on the Quaternion Hardy filter is proposed. The Quaternion Hardy filter is an emerging edge detection theory. It is along with the Poisson and conjugate Poisson smoothing kernels to handle various types of noise. Combining with the Quaternion Hardy filter, Jin's color gradient operator and Hough transform, the color-edge feature detection algorithm is proposed and applied to the lane marking detection. Experiments are presented to demonstrate the validity of the proposed algorithm. The results are accurate and robust with respect to the complex environment lane markings.

The fault-tolerant control (FTC) problem for fractional-order (FO) non-linear systems with unmodelled dynamics and actuator faults is studied. First, the author uses neural networks (NNs) to identify unknown non-linear functions and apply a FO dynamic signal to control unmodelled dynamics. Then, fractional-order dynamic surface control (FODSC) is introduced in the design process of the adaptive backstepping control algorithm to avoid complex explosion problems. In addition, an adaptive NNs FTC algorithm using the FO Lyapunov stability criterion is designed. Importantly, the author shows that the proposed system is stable, and the tracking error could be converged to a small neighbourhood of zero. Finally, a simulation example is used to verify the effectiveness of the proposed control scheme.

In this work, the biquaternion Z transformation method is proposed to solve a class of biquaternion recurrence relations. Biqueternion Z transform is an natural extension of the complex Z transform. In the design process, special norm presentation is employed to analyze the region of convergence of the biquaternion geometry sequence. In addition, some useful properties have been given. It is shown that the proposed properties is helpful to understand the biquaternion Z transform. Finally, several examples have been given to illustrate the effectiveness of the proposed design method.

No abstract

No abstract