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The problem of interval state observer design is addressed for time-invariant discrete-time systems. Two solutions are proposed: the first one is based on a similarity transformation synthesis, which connects a constant matrix with its nonnegative representation ensuring the observation error positivity. The second contribution shows that in the discrete-time case the estimation error dynamics always...
In this paper an interval observer for Linear-Parameter-Varying (LPV) Systems is proposed. Usually, the design of such observers is based on monotone systems theory and the observation error should have a cooperative dynamics. In many cases, such a property is hard to satisfy. In this paper, a time-varying change of coordinates is used to overcome this limitation. Two sufficient conditions, according...
The goal of this technical note is to design interval observers for a class of nonlinear continuous-time systems. The first part of this work shows that it is usually possible to design an interval observer for linear systems by means of linear time-invariant changes of coordinates even if the system is not cooperative. This result is extended to a class of nonlinear systems using partial exact linearisations...
This paper deals with fault detection problem for nonlinear continuous-time systems transformed to a LPV form. Adaptive set observers techniques are applied for joint state and parameter estimation in order to avoid the exponential complexity obstruction usually met in set-membership nonlinear estimation. The obtained estimates on the sets of admissible values for the parameters and the state are...
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