Statistical Consistency of Set-Membership Estimator for Linear Systems

A non-linear set-membership approach for the control of discrete event systems

A variety of problems in non-linear time-evolution systems such as manufacturing plants, operations research, computer networks, etc., can be modelled as min-max-plus systems in which operations of min, max and addition appear simultaneously. It is well know that systems with only maximum (or minimum) constraints can be modelled as max-plus system and handled by max-plus algebra which changes t...

Set-membership Parity Space Approach for Fault Detection in Linear Uncertain Dynamic Systems

In this paper, a set-membership parity space approach for linear uncertain dynamic systems is proposed. First, a set of parity relations derived from the parity space approach is obtained by means of a transformation derived from the system characteristic polynomial. As a result of this transformation, parity relations can be expressed in regressor form. On the one hand, this facilitates the pa...

Set membership identification of switched linear systems with known number of subsystems

This paper addresses the problem of robust identification of a class of discrete-time linear hybrid systems, switched linear models, in a set membership framework. Given a finite collection of noisy input/output data the objective is twofold: (i) establish whether this data was generated by a system that switches amongst an a-priori known number of subsystems, and (ii) in that case identify a s...

Robust fault detection of non-linear systems using set-membership state estimation based on constraint satisfaction

In this paper, the robust fault detection problem for non-linear systems considering both bounded parametric modelling errors and measurement noises is addressed. The non-linear system is monitored by using a state estimator with bounded modelling uncertainty and bounded process and measurement noises. Additionally, time-variant and time-invariant system models are taken into account. Fault det...

Active fault detection and isolation of discrete-time linear time-varying systems: a set-membership approach