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In fault isolation, it is often necessary to first make a decision on which class of fault has occurred. Such a decision requires isolating the occurred fault class amongst different possible fault classes. We shall refer to this problem as fault class isolation (FCI), and this problem is the subject of this paper. In order to address the FCI problem, a general methodology is proposed. As an application...
An approach for nonlinear unknown input observer (NUIO) design for nonlinear systems representable by a Takagi-Sugeno (TS) fuzzy system. The proposed NUIO design for TS fuzzy systems is carried out for two cases: 1) the premise variables do not depend on the unmeasured state variables; and 2) the premise variables depend on the unmeasured state variables. Sufficient conditions for the existence of...
An adaptive sensor fault detection and isolation approach in linear multi-input multi-output (MIMO) systems with unknown system parameters is presented. The proposed diagnostic approach abandons the idea of designing adaptive observers to estimate the system's state, and rather employs the design of adaptive output estimators for estimating only the outputs. First, a MIMO system is decomposed into...
This paper considers fault detection, isolation and estimation problems for a class of systems with unknown inputs which may not satisfy certain matching conditions. Such conditions are often required for existence of sliding mode observers (SMO). In cases when the unmatched unknown inputs are present, no SMO could be designed such that the state estimation error is invariant to all the unknown inputs,...
A full order nonlinear unknown input observer (NUIO) for a class of Lipschitz nonlinear systems with unknown inputs is designed. A sufficient NUIO existence condition which requires solving a nonlinear matrix inequality is derived. To avoid solving the nonlinear matrix inequality directly, the existence condition is then reformulated as a new sufficient existence condition in terms of an LMI. An important...
With an emphasis on fault isolation and by treating fault detection as a byproduct of fault isolation, both actuator and sensor fault detection and isolation (FDI) problems for a class of uncertain Lipschitz nonlinear systems are studied using an unknown input observer (UIO) design technique. To solve the actuator fault detection and isolation problem, we develop a particular system structure by regrouping...
Sliding mode observers designed for systems with matched uncertainty require an upper bound to be known exactly. To remove this requirement, two novel sliding mode observers are proposed by modifying Walcott-Zak observer and Edwards-Spurgeon observer. Their novelty lies in the mechanism introduced to update the sliding mode observer gain for counteracting uncertainty. Due to this, the knowledge of...
Full and reduced order observers for a class of linear switched control systems (LSCS) are studied in this paper. A "sub-observer" is first designed for the i-th subsystem. Then, a switching observer for an LSCS is constructed by simply picking the i-th sub-observer whenever the i-th subsystem is active. In the case of a full order observer, when subsystems are detectable, the state estimation...
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