Logemann, Hartmut (Univ. of Bath), Coughlan, James Joseph (Univ. of Bath)

Sampled-Data Low-Gain Control of Linear Systems in the Presence of Actuator and Sensor Nonlinearities

Scheduled for presentation during the Mini-Symposium "Distributed Parameter Systems-II: Control of Infinite-Dimensional Systems" (TuA06), Tuesday, July 25, 2006, 10:50−11:15, Room G

17th International Symposium on Mathematical Theory of Networks and Systems, July 24-28, 2006, Kyoto, Japan

This information is tentative and subject to change. Compiled on May 27, 2023

Abstract

Using an input-output approach, a time-varying low-gain sampled-data integral control strategy is presented for tracking of constant reference signals in the context of L²-stable time-invariant linear systems subject to non-decreasing globally Lipschitz actuator nonlinearities. It is shown that applying error feedback using a sampled-data integral controller ensures that the tracking error is asymptotically small in a certain sense, provided that (a) the transfer function of the linear system is holomorphic in a neighbourhood of 0, (b) the steady-state gain is positive, (c) the reference value is feasible in an entirely natural sense, and (d) the positive-valued (time-varying) integrator gain is ultimately sufficiently small, but not summable. Generalized as well as ideal samplers are considered. In the case of ideal sampling sensor nonlinearities can also be included. The input-ouptput results are applied to a general state-space setting wherein the linear component of the plant is a strongly stable well-posed infinite-dimensional system.