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|Title:||Stabilize an n-dimensional quantized nonlinear feedforward system with 1 bit|
|Source:||Ling, Q., Lemmon, M.D., Lin, H. (2009). Stabilize an n-dimensional quantized nonlinear feedforward system with 1 bit. Proceedings of the IEEE Conference on Decision and Control : 1986-1991. ScholarBank@NUS Repository. https://doi.org/10.1109/CDC.2009.5400795|
|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, then sent through a digital network to the controller. In order to save network bandwidth, people pursue as less quantization bits as possible to maintain stability of such a system. In DePersis' paper , n bits are used to stabilize the n-dimensional system by assigning one bit for each state variable (dimension). This paper extends that result by stabilizing the whole system with a single bit under the same assumptions. 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 asymptotic stability of the system can, therefore, be guaranteed. Because 1 bit is the smallest bit number in each packet, the new policy achieves the minimum stabilizable bit number for that n-dimensional feedforward nonlinear system. ©2009 IEEE.|
|Source Title:||Proceedings of the IEEE Conference on Decision and Control|
|Appears in Collections:||Staff Publications|
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