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In this paper, an embedded zerotree wavelet transform (EZWT) based technique is employed for the data denoising and compression in the smart grid (SG). The EZWT is a simple but effective data compression algorithm. This technique does not need any training, pre-stored tables or codebooks, and prior knowledge of the data source. In this paper, the analysis and subsequent compression and denoising properties of the EZWT are examined for power system signals in SG. The proposed approach is evaluated using phasor measurement unit (PMU) and power system data. Experimental results demonstrate that the presented method both compresses the signal and depresses the noise contained in the signal. Comparative compression and noise removal results are presented with the wavelet transform (WT).

g v m -A b s t r a e A n adaptive backstepping controller is designed to stabilize an inverted pendulum that is mounted on a moveable cart. Tbe adaptive backstepping control synthesis technique results in the design of a controller for non-linear state differential equations with unknown parameters.The powerful adaptive backstepping technique provides a systematic iterative construction of a Lyapunov function and control law for this problem. The adaptive back-stepping technique is used to generate a control law for this system with measured states. The controller design is evaluated for performance, complexity of implementation, and the impact of the system non-hear characteristics on the system stability. The advantages and disadvantages of the control strategy are summarized.

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