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| DOI：10.1007/s11768-010-9186-8 |
| Received:September 07, 2009Revised:September 07, 2009 |
| 基金项目:the National Natural Science Foundation of China (No.60904012), the Natural Science Foundation of Anhui Province(No.090412050) and the Talent Development Program of Anhui Province (No.2008Z012). |
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| Asymptotic stabilization of dynamically quantized nonlinear systems in feedforward form |
| Qiang LING,Michael D. LEMMON,Hai LIN |
| (University of Science and Technology of China;University of Notre Dame;National University of Singapore) |
| Abstract: |
| This paper studies the stabilizability of an n-dimensional quantized feedforward nonlinear system. The
state of that system is first quantized into a finite number of bits, and then sent through a digital network to the controller.
We want to minimize the number of transmitted bits subject to maintaining asymptotic stability. In the prior literature,
n bits are used to stabilize the n-dimensional system by assigning one bit to each state variable (dimension). Under the
stronger assumption of global Lipschitz continuity, this paper extends that result by stabilizing the system with a single
bit. Its key contribution is a dynamic quantization policy which dynamically assigns the single bit to the most “important”
state variable. Under this policy, the quantization error exponentially converges to 0 and the stability of the system can,
therefore, be guaranteed. Because 1 is the minimum number of quantization bits (per sampling step), the proposed dynamic
quantization policy achieves the minimum stabilizable bit number for that n-dimensional feedforward nonlinear system. |
| Key words: Quantization Stability Nonlinear Feedforward. |
