Sampled-Data Stabilization; A PBC Approach

Abstract

Two sampled-data design procedures ensuring stabilization of passive systems are described in the general framework of passivity-based control (PBC) strategies. The first one makes reference to some modified output with respect to which passivity under sampling can be preserved. The second one can be interpreted as the sampled-data equivalent to the celebrated continuous-time stabilizing and damping L(g)V-controller. A simulated example illustrates the performances

Synchronization of isolated microgrids with a communication infrastructure using energy storage systems

“…Now, we introduce the following definitions adapted from [45], that will help to illustrate the stability of the power network independent of sampling-period based on the concept of passivity for systems with direct input-output links (i.e., output depends directly on the input).…”

“…It is evident the fact that the discrete-time output equivalent in the right-hand depends on the input u à c ðkÞ at each instant k. Hence, the following definition adapted from [45] is derived. Lemma 3.2.…”

Observers and output feedback stabilising controllers for nonlinear strict-feedback systems with sampled observation

“…Recently, they have been extended to (parameterised) discretetime and sampled-data strict-feedback systems (Nešić & Loría, 2004;Nešić & Teel, 2006;Postoyan, AhmedAli, & Lamnabhi-Lagarrigue, 2009) by using the framework to design sampled-data control systems on the basis of approximate discrete-time models (Laila, Nešić, & Astolfi, 2005;Nesic, Teel, & Kokotovic, 1999;Nešić, Teel, & Sontag, 1999) where a sampled-data system is a continuous-time system with sampled observation and control input realised through a zero-order hold. In the proposed framework, other stability analysis and several design methods of state feedback stabilising laws have been also given for the general sampled-data system (Monaco, Normand-Cyrot, & Tiefensee, 2011;Nešić & Grune, 2005Nešić & Laila, 2002).…”

Uniform global asymptotic stability for nonlinear systems under input delays and sampling of the controls

“…Sampling in controllers is a well known problem, having been studied in several contributions [9], [18], [19], [20], [21], [25]. Time delay problems have also been studied for many years, and the last two decades have seen much research on nonlinear systems with delay [1], [12], [15], [22], [23], [24], [27].…”