Interval Observers Design for Polynomial Fuzzy Singular Systems by Utilizing Sum-of-Squares Program
针对含外部干扰和未知参数的多项式模糊奇异系统，设计了区间观测器，并用平方和规划方法给出稳定性条件，比传统线性矩阵不等式方法更宽松通用。
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 <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">1</sub> /L <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sub> framework. The efficiency of the interval observers are demonstrated through two simulation examples.