Article: Design of a model predictive-based fault estimator for faulty nonlinear switched dynamics with guaranteed recursive feasibility Journal: International Journal of Automation and Control (IJAAC) 2025 Vol.19 No.7 pp.1 - 22 Abstract: This research presents a defect estimation framework employing a model predictive approach for switched nonlinear systems. The method integrates system states and failure signals into an augmented state-space model. The squared Euclidean norm of the estimation error over the prediction horizon serves as the performance metric, minimised through a set of linear matrix inequality constraints to ensure asymptotic stability. The estimator design enforces constrained estimation error to remain within a defined threshold, enhancing robustness. Recursive feasibility is analytically demonstrated at each time step. The approach is validated on a continuous stirred tank reactor, a key component in the petrochemical industry. In fault-free conditions, with estimation error maintained below 0.05. The estimator effectively detects and quantifies both constant and time-varying faults. The system's energy function consistently decreases, confirming the asymptotic stability of the estimation error dynamics and supporting its application in fault-tolerant control. Inderscience Publishers - linking academia, business and industry through research

Title: Design of a model predictive-based fault estimator for faulty nonlinear switched dynamics with guaranteed recursive feasibility

Authors: Li Wang

Addresses: School of Mechanical Engineering, Chongqing Industry Polytechnic University, Chongqing, 400020, China

Abstract: This research presents a defect estimation framework employing a model predictive approach for switched nonlinear systems. The method integrates system states and failure signals into an augmented state-space model. The squared Euclidean norm of the estimation error over the prediction horizon serves as the performance metric, minimised through a set of linear matrix inequality constraints to ensure asymptotic stability. The estimator design enforces constrained estimation error to remain within a defined threshold, enhancing robustness. Recursive feasibility is analytically demonstrated at each time step. The approach is validated on a continuous stirred tank reactor, a key component in the petrochemical industry. In fault-free conditions, with estimation error maintained below 0.05. The estimator effectively detects and quantifies both constant and time-varying faults. The system's energy function consistently decreases, confirming the asymptotic stability of the estimation error dynamics and supporting its application in fault-tolerant control.

Keywords: fault estimation; switched nonlinear systems; model predictive control; augmented state-space model; linear matrix inequality; recursive feasibility; asymptotic stability; continuous stirred tank reactor.

DOI: 10.1504/IJAAC.2025.149327

International Journal of Automation and Control, 2025 Vol.19 No.7, pp.1 - 22

Received: 30 Apr 2025
Accepted: 20 Aug 2025
Published online: 24 Oct 2025 *

Title: Design of a model predictive-based fault estimator for faulty nonlinear switched dynamics with guaranteed recursive feasibility

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