On robustness of constrained discrete-time systems to state measurement errors

In this note we show that robustness with respect to additive disturbances implies robustness with respect to state measurement errors and additive disturbances for a class of discrete-time closed-loop nonlinear systems. The main result is formulated in terms of input-to-state stability and includes the possible presence of input and state constraints. Moreover, the state feedback controllers are allowed to be discontinuous and set-valued and thus the result also applies to model predictive control laws. 2007 Elsevier Ltd. All rights reserved.

• Type: Journal
• Year: 2008
• Where: AUTOMATICA
• Authors: B. J. P. Roset, W. P. M. H. Heemels, Mircea Lazar, Henk Nijmeijer
• Keywords: Additive Disturbances, AUTOMATICA 2008, Closed-loop Nonlinear Systems, State Feedback Controllers