Local stabilization for continuous-time Takagi-sugeno fuzzy model: A bounded control method

For stability analysis we only need estimate the bound of |∂w^k₀/∂z_k x_q| such as [19], however, for stabilization, the new problem is to design the controller and determine the bound of |∂w^k₀/∂z_k u_v| besides |∂w^k₀/∂z_k x_q|. To solve this problem, we design the bounded non-parallel distributed compensation law, then, some linear matrices inequalities are obtained to ensure that the trajectories starting from a local region will be driven to the origin as time goes by. In the end, an example shows the effectiveness of our conclusions.