A sector bound approach to feedback control of nonlinear systems with state quantization

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• 作者：Tengfei Liu^a ; ¹ ; ^{tengfei.liu@anu.edu.au}  ; [Author Vitae] ; Zhong-Ping Jiang^b ; ^{zjiang@poly.edu}  ; [Author Vitae] ; David J. Hill^c ; ^{djhill@sydney.edu.au}  ; [Author Vitae]
• 关键词：Sector bound ; State quantization ; Nonlinear systems ; Input-to-state stability (ISS) ; Small-gain
• 刊名：Automatica
• 出版年：2012
• 出版时间：January, 2012
• 年：2012
• 卷：48
• 期：1
• 页码：145-152
• 全文大小：525 K

文摘

This paper studies the feedback control problem of nonlinear systems in strict-feedback form with state quantizers, which are static and bounded by sectors. Through a novel set-valued map based recursive control design approach, the quantized control system is transformed into an interconnection of several input-to-state stable (ISS) subsystems. The ISS property of the closed-loop system is guaranteed by the recently developed cyclic-small-gain theorem. With an appropriately designed quantized controller, the output of the quantized control system can be steered to within a neighborhood of the origin with its size slightly larger than the quantization error near the origin.