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This paper presents a sum of squares (SOS, for brevity) approach to polynomial fuzzy observer design for polynomial fuzzy systems. First, we briefly summarize previous results with respect to a polynomial fuzzy system and controller that are more general representation of the well-known Takagi-Sugeno (T-S) fuzzy system and controller, respectively. Secondly, we propose a polynomial fuzzy observer...
Stability of the particle swarm optimization algorithm is analyzed without any simplifying assumptions made in the previous works. To evaluate the convergence speed of the algorithm, the decay rate is introduced, and a method for finding the largest lower bound of the decay rate is presented. Moreover, it is pointed out that the l2 gain of the algorithm can be used to measure exploration ability of...
This paper presents a sum of squares (SOS) approach to stability analysis of polynomial fuzzy systems. Our SOS approach provides two innovative and extensive results for the existing LMI approaches to Takagi-Sugeno fuzzy systems. First, we propose a polynomial fuzzy model that is a more general representation of the well-known Takagi-Sugeno fuzzy model. Second, we derive stability conditions based...
This paper presents switching fuzzy model construction with arbitrary switching planes and controller design based on the switching Lyapunov function. In our previous papers, we proposed the switching fuzzy model with switching planes corresponding to quadrants. However, it is obvious that a switching fuzzy model differs with respect to switching planes and the model construction affects the stability...
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