Robust stabilization of uncertain large-scale control systems

Abstract

The robust stabilization problem of large-scale time-invariant control systems with uncertain parameters is investigated. By using the method of weighted sum type of Lyapunov functions, the boundary regions of interconnecting parameters of robust stabilization are obtained for n-order uncertain linear and nonlinear large-scale control systems. At the same time, the optimization of boundary regions of interconnecting parameters for robust stabilization has been realized on the second-order uncertain composite linear control system, and the optimal boundary region of interconnecting parameters is obtained.