Decentralized guaranteed cost control of a class of interconnected uncertain discrete-time systems
一类关联不确定离散系统的分散保性能控制

This paper focuses on the design problem of decentralized guaranteed cost state feedback controllers for a class of interconnected uncertain discrete-time systems and a given quadratic cost function. By using the linear matrix inequality (LMI) approach, sufficient conditions for the existence of the decentralized controllers are derived, and a parametrized characterization of a set of decentralized guaranteed cost controllers (if they exist) is provided. Furthermore, a convex optimization problem is formulated to select the optimal decentralized guaranteed cost controller which minimizes the upper bound of the closed-loop cost function.