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|Title:||Asymptotic stabilization of dynamically quantized nonlinear systems in feedforward form|
|Source:||Ling, Q.,Lemmon, M.D.,Lin, H. (2010-01). Asymptotic stabilization of dynamically quantized nonlinear systems in feedforward form. Journal of Control Theory and Applications 8 (1) : 27-33. ScholarBank@NUS Repository. https://doi.org/10.1007/s11768-010-9186-8|
|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. © South China University of Technology and Academy of Mathematics and Systems Science, CAS and Springer-Verlag Berlin Heidelberg 2010.|
|Source Title:||Journal of Control Theory and Applications|
|Appears in Collections:||Staff Publications|
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