Observer-based quantized control for discrete-time switched systems with infinitely distributed delay. Issue 8 (May 2022)

• Record Type: Journal Article
• Authors: Wan, Xiaoxiao; Xu, Yuhua; Wu, Xiaoqun; Xie, Chengwang
• Is Part Of: Journal of the Franklin Institute. Volume 359:Issue 8(2022)
• Page Start: 3597
• Page End: 3613
• Publication Date: 2022-05
• Subjects: Science -- Periodicals; Technology -- Periodicals; Patents -- United States -- Periodicals; 505
• DOI: 10.1016/j.jfranklin.2022.03.012
• Languages: English
• ISSNs: 0016-0032

Abstract

Abstract: This paper studies the globally almost surely exponential stabilization of discrete-time switched systems (DSSs) with infinitely distributed delay. On account of the limitation of communication resources in the actual environment, a novel class of observer-based quantized control scheme is designed that incorporates the quantization of three kinds of signals: the measurement output, the state of observer, and the measurement output of observer. By employing S-procedure and some matrix inequality techniques, an algorithm is given to design the controller parameters. To reduce the conservativeness of the obtained results, new multiple Lyapunov–Krasovskii functionals (LKFs) with negative terms are proposed to deal with the infinitely distributed delay and mode-dependent average dwell time (MDADT) switching based on transition probability (TP) is introduced to study the stabilization of DSSs with both stable and unstable modes. It is worth highlighting that the improved stabilization conditions for DSSs can release the restriction on the length of dwell time (DT) of stable and unstable subsystems. Finally, a simulation example is presented to demonstrate the validity of the proposed method.