在電腦模擬中，使用了平方和方法檢測穩定性條件，並設計出切換式靜態輸出回授控制器。;In this paper, we study switching static output feedback control problem for both continuous- and discrete-time polynomial fuzzy systems. The stabilization of the systems is proved with minimum-type piecewise Lyapunov functions, which have the form V(x)=\min_{1\leq l \leq N}\big\{V_l(x)\big\}. Switching mechanism of the controllers is also based on piecewise Lyapunov functions. In continuous-time systems, in order to remove non-convex term \dot P(x), via Euler′s theorem for homogeneous functions we establish piecewise functions as follows. V_l(x)=x^TP_l(x)x=\frac{1}{g(g-1)}x^T\nabla_{xx}V_l(x)x In discrete-time systems, the piecewise functions are defined as V_l(x)=x^TP_l^{-1}(\tilde x)x$ to prevent problems where \tilde x is the set of states whose corresponding row in B_i(x) are empty. Further details are described in the text.
In numerical examples, stability conditions and controller synthesis are tested and solved via sum-of-squares approach.
