Abstract
This paper designs interval observers for polynomial fuzzy singular systems, in which the external disturbances and unknown parameters are included in the systems. The polynomial fuzzy modelings are proposed, which are more practical than Takagi–Sugeno fuzzy modelings. Then, the interval observers are designed for nonnegative and generic systems. The stability conditions are proposed by sum-of-squares (SOS) approach via SOSTOOLS. Compared to the linear matrix inequality-based approaches, the SOS approach is more relaxed and general. Estimation accuracy is analyzed via ${L_{1}/L_{2}}$ framework. The efficiency of the interval observers are demonstrated through two simulation examples.
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