Affiliation:
1. Tecnológico Nacional de México, IT Tuxtla Gutiérrez TURIX‐Dynamics Diagnosis and Control Group Tuxtla Gutiérrez Mexico
2. Dept. of Electrical and Electronics Engineering Sonora Institute of Technology Cd. Obregon Mexico
3. Tecnológico Nacional de México IT Hermosillo Hermosillo Mexico
Abstract
AbstractThis paper introduces a technique for simultaneous estimation of additive and multiplicative faults in the actuators of nonlinear systems represented by quasi‐linear parameter varying (qLPV) models based on a proportional‐integral unknown input observer. The qLPV model, structured with a tensor product, allows for optimized flexibility of the observer gain. A distinguishing aspect of our method is the novel approach to nonlinearity, which is not only recast as a convex sum but also in the input vector. The study comprehensively analyses the robustness and convergence conditions through Lyapunov stability evaluation. A robust performance criterion is incorporated to minimize the influence of measurement noise and disturbances. As a result, a set of linear matrix inequalities are obtained. Two examples are examined to demonstrate the practical applicability and efficacy of the proposed method, highlighting the observer's performance under the actuator faults.
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