Decentralized design of interconnected H∞ feedback control systems with quantized signals

Abstract

In this paper, we consider the design of interconnected H∞ feedback control systems with quantized signals. We assume that a decentralized dynamic output feedback has been designed for an interconnected continuous-time LTI system so that the closed-loop system is stable and a desired H∞ disturbance attenuation level is achieved, and that the subsystem measurement outputs are quantized before they are passed to the local controllers. We propose a local-output-dependent strategy for updating the parameters of the quantizers, so that the overall closed-loop system is asymptotically stable and achieves the same H∞ disturbance attenuation level. Both the pre-designed controllers and the parameters of the quantizers are constructed in a decentralized manner, depending on local measurement outputs.

On distributed symbolic control of interconnected systems under persistency specifications

“…* Corresponding author Despite considerable progress in symbolic control techniques, the curse of dimensionality still yields restrictions: Indeed, the number of symbolic states (respectively inputs) increases exponentially with respect to the state-space (respectively input-space) dimension. Distributed control approaches have been proposed in the literature to improve the scalability (Zhai et al, 2013;Ge et al, 2017;Borri et al, 2019;Jabri et al, 2020), as well as compositional methods for symbolic controller synthesis (Mayer and Dimarogonas, 2017;Saoud et al, 2018;Coënt et al, 2016;Meyer et al, 2018;Pola et al, 2018;Kim et al, 2015;Nilsson and Ozay, 2020).…”