Input-output triggered control using Lp-stability over finite horizons

Abstract

Author(s): Tolic, D; Sanfelice, RG; Fierro, R | Abstract: This paper investigates stability of nonlinear control systems under intermittent information. Following recent results in the literature, we replace the traditional periodic paradigm, where the up-to-date information is transmitted and control laws are executed in a periodic fashion, with the event-triggered paradigm. Building on the small gain theorem, we develop input-output triggered control algorithms yielding stable closed-loop systems. In other words, based on the currently available (but outdated) measurements of the outputs and external inputs of a plant, a mechanism triggering when to obtain new measurements and update the control inputs is provided. Depending on the noise in the environment, the developed algorithm yields stable, asymptotically stable, and Lp-stable (with bias) closed-loop systems. Control loops are modeled as interconnections of hybrid systems for which novel results on Lp-stability are presented. The prediction of a triggering event is achieved by employing Lp-gains over a finite horizon. By resorting to convex programming, a method to compute Lp-gains over a finite horizon is devised. Finally, our approach is successfully applied to a trajectory tracking problem for unicycles. © 2014 John Wiley a Sons, Ltd.