Design of Interval Set-Membership Based Fault Detection Filter

2022 
where, \(x_k \in \mathbb {R}^n\) is the state vector of the system, \(u_k \in \mathbb {R}^p\) and \(y_k \in \mathbb {R}^q\) are the input and output vector of the system, respectively, \(w_k \in \mathbb {R}^s\) and \(v_k\in \mathbb {R}^l\) are unknown but bounded disturbance and noise, respectively, \(f_k \in \mathbb {R}^m\) is actuator fault of any form. A, B, C, D, E and F are constant matrices with appropriate dimensions.
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