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Difference Inequalities and BIBO Stability of Approximate NARX Models

Dzieliński A.

Bulletin of the Polish Academy of Sciences. Technical Sciences

2002

Vol. 50, Nr 4

295--311

This paper introduces a novel approach to BIBO stability of NARX control systems. The approach is based on difference inequalities and assumes availability of an approximate NARX model and the system order. Sufficient conditions for modelling error are derived ensuring boundedness of the error between model's and plant's outputs for the same inputs. For this class of bounded inputs sufficient conditions for BIBO stability are given and shown practicable. They also allow designing a controller using the model, leading to BIBO stable closed-loop system.