By Yuanqing Xia, Mengyin Fu, Guo-Ping Liu
Analysis and Synthesis of Networked keep watch over platforms makes a speciality of crucial elements 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 watch over structures have ended in a whole new variety of real-world functions. lately, the options of web of items are constructed swiftly, the examine of networked keep an eye on structures performs a key position in net of items. The publication is self-contained, offering enough mathematical foundations for realizing the contents of every bankruptcy. it is going to be of vital curiosity to scientists and engineers engaged within the box of Networked keep watch over Systems.
Dr. Yuanqing Xia, a professor at Beijing Institute of expertise, has been engaged on regulate thought and its functions for over ten years.
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Extra resources for Analysis and Synthesis of Networked Control Systems
2. 1) has some diﬀerences with the one in . In fact, based on the analysis process of system performance, (M + 12 ) should be changed to (M − 12 ) in the deﬁnition of quantizer in . e. 2) where μ(k) > 0. It is obvious that the following conditions about qμ (·) can be given: III. If |x(k)| ≤ M μ(k), then |qμ (x(k)) − x(k)| ≤ μ(k); IV. If |x(k)| > M μ(k), then |qμ (x(k))| > M μ(k) − μ(k). 3. The role of μ(k) is to simply the analysis. In fact, for the quantizer satisfying the Condition I and II, the process of “zooming-out” stage is increasing M such that |q(x(k))| ≤ M − , then the quantizer does not saturate, that is, |x(k)| ≤ M , according to Condition II.
18). In the above simulations, it is clear that L is an essential factor in the performance of the closed-loop systems. 01, the performance of the closed-loop system with quantized feedback control is almost the same as the one with conventional feedback control (see Fig. 10 and Fig. 11). 5 0 10 20 30 40 50 60 70 80 90 100 90 100 k Fig. 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.
U(k) G x(k ) T (k) M(k ) xˆ(k) K qP (<) Fig. 3 Stabilization via quantized signals with stochastic losses occurred at the both sides. Where qμ (·) and θ(·) are deﬁned as above and xˆ(k) = ϕ(k)x(k), where ϕ(·) is a 0-1 random variable with probability distribution given by P r(ϕ(k) = i) = β, i = 0, 0 ≤ β < 1. 5 Numerical Example 45 When ϕ(k) = 0, the packet dropout occurs and xˆ(k) = 0, otherwise x ˆ(k) = x(k). 3) under control law u(k) = θ(k)Kqμ (ϕ(k)x(k)) is mean square stable. 12. 51) is unstable.