By Yuanqing Xia, Mengyin Fu, Guo-Ping Liu
Analysis and Synthesis of Networked keep an eye on platforms makes a speciality of crucial points of this box, together with quantization over networks, information fusion over networks, predictive keep watch over over networks and fault detection over networks. The networked keep an eye on structures have resulted in a whole new diversity of real-world purposes. lately, the strategies of web of items are constructed quickly, the learn of networked regulate structures performs a key function in web of items. The publication is self-contained, delivering adequate mathematical foundations for realizing the contents of every bankruptcy. will probably be of vital curiosity to scientists and engineers engaged within the box of Networked keep an eye on Systems.
Dr. Yuanqing Xia, a professor at Beijing Institute of know-how, has been engaged on keep an eye on idea and its functions for over ten years.
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Additional resources for Analysis and Synthesis of Networked Control Systems (Lecture Notes in Control and Information Sciences)
01. 5 0 10 20 30 40 50 60 70 80 k Fig. 01. P (k), increases (see Fig. 15). While L = 1000, the norm of covariance of estimated error, P (k), increases remarkably (see Fig. 18). It is worth to say that even if L is very large, for example L = 1000, the states of system are bounded although the bound is very large. 01, the error induced by quantization is small, and it is helpful to decrease the bound of estimated state x ˆ(k|k) after quantizing. If L increases, however, the decoder performs is not so well.
14) where i1 , i2 , · · · , in ∈ Z. 12). 16) where m ∈ Z. 17). 3. 1) is said to be stable, if lim x k→∞ constant M > 0 such that P (k) 2 < M. 4 2 Stability Analysis of Quantized Systems over Networks Stability Analysis In this section, a quantization control strategy is given based on quantization strategy presented in previous section and the stability of system is discussed. 20) −D ◦ Q(ˆ x(k|k))) + ω(k) = (A + BK)x(k) − BK(x(k) − xˆ(k|k)) − BKs(k) + ω(k) where s(k) = x ˆ(k|k) − D ◦ Q(ˆ x(k|k)).
E. “zooming-out” and “zooming-in”. In the ﬁrst stage, the range of quantizer is increased to guarantee that the states of system can be adequately measured, at this stage, the system is open-loop. In the second stage, the quantization error is decreased to drive the states to the origin, at this stage, the system is closed-loop. Because the quantization regions in  are rectilinear and the quantization regions with arbitrary shapes are considered in , the uniform quantizer used in this chapter will adopt the one introduced in .