Stabilization of networked multi-input systems with channel resource allocation

—In this paper, we study the problem of stabilizing a linear time-invariant discrete-time system with information constraints in the input channels. The information constraint in each input channel is modeled as a sector uncertainty. Equivalently, the transmission error of an input channel is modeled as an additive system uncertainty with a bound in the induced norm. We attempt to find the least information required, or equivalently the largest allowable uncertainty bound, in each input channel which renders the stabilization possible. The solution for the single-input case, which gives a typical H∞ optimal control problem, is available in the literature and is given analytically in terms of the Mahler measure or topological entropy of the plant. The main purpose of this paper is to address the multi-input case. In the multi-input case, if the information constraint in each input channel is given a priori, then our stabilization problem turns out to be a so-called μ synthesis pro...

• Type: Conference
• Year: 2008
• Where: ICARCV
• Authors: Guoxiang Gu, Li Qiu
• Keywords: ICARCV 2008, Information Constraints, Input Channels, Multi-input Case, Robotics