Observer for non‐linear systems with sampled measurements: Application to the friction factor estimation of a pipeline

Abstract

Abstract This paper presents a new approach of the continuous‐discrete observer design for a class of uncertain state‐affine non‐linear systems. A high‐gain observer redesign is developed and analysed under insightful conditions. The proposed observer estimates the state vector by using system output measurements with long sampling times. This result is achieved by considering a persistent excitation condition that can be validated online. The performance of the proposed algorithm is evaluated under time‐varying sampled measurements to estimate the friction factor of a pipeline where the case of noisy sampled output measurements is also considered.

Keywords

• Simulation, modelling and identification
• Algebra
• Other topics in statistics
• Linear control systems
• Control system analysis and synthesis methods
• Stability in control theory