Mixed <i>L</i>₁/<i>L</i>_- Fault Detection Observer for Continuous 2-D Positive Systems

초록

This brief concerns the design of a fault detection observer for positive two-dimensional (2D) continuous systems. First, an approach is provided to calculate accurate values of the L-1-gain and L--index for positive 2D systems, indicating the robustness and fault sensitivity, respectively. Necessary and sufficient conditions are developed such that the positive 2D systems are asymptotically stable with the L-1/L- performance. Second, sufficient conditions for a mixed L-1/L- observer are established. An iterative algorithm is formulated to address the multiobjective optimization problem. Finally, the validity and feasibility of the proposed design approach and algorithm are illustrated using a numerical example.

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