Robust Linear Quadratic Regulation Over Polytopic Time-Inhomogeneous Markovian Channels Under Generalized Packet Dropout Compensation

Abstract

This letter addresses a fundamental issue of time-varying parametric uncertainty affecting unreliable communication links that convey the control commands to actuators in wireless networked control systems. It introduces the polytopic time-inhomogeneous finite-state Markov channel model to account for significant changes in possible propagation channel characteristics and analytically solves the linear quadratic regulation problem under the generalized packet dropout compensation. An example validating the results is presented.