The robust absolute stability of general Lurie interval direct control system with multiple nonlinearities, with respect to model variations, is considered. Some sufficient conditions of absolute stability for the sys...The robust absolute stability of general Lurie interval direct control system with multiple nonlinearities, with respect to model variations, is considered. Some sufficient conditions of absolute stability for the system are obtained, which generalize and improve the previous results.展开更多
Necessary and suffcient conditions for the existence of a Lyapunov function in the Lur ’ e form to guarantee the absolute stability of Lur’ e control systems with multiple non-linearities are discussed in this paper...Necessary and suffcient conditions for the existence of a Lyapunov function in the Lur ’ e form to guarantee the absolute stability of Lur’ e control systems with multiple non-linearities are discussed in this paper. It simplifies the existence problem to one of solving a set of linear matrix inequalities (LMIs). If those LMIs are feasible, free parameters in the Lyapunov function, such as the positive definite matrix and the coefficients of the integral terms, are given by the solution of the LMIs. Otherwise, this Lyapunov function does not exist. Some sufficient conditions are also obtained for the robust absolute stability of uncertain systems. A numerical example is provided to demonstrate the effectiveness of the proposed method.展开更多
文摘The robust absolute stability of general Lurie interval direct control system with multiple nonlinearities, with respect to model variations, is considered. Some sufficient conditions of absolute stability for the system are obtained, which generalize and improve the previous results.
基金This work was supported by the Doctor Subject Foundation of China (No. 2000053303)
文摘Necessary and suffcient conditions for the existence of a Lyapunov function in the Lur ’ e form to guarantee the absolute stability of Lur’ e control systems with multiple non-linearities are discussed in this paper. It simplifies the existence problem to one of solving a set of linear matrix inequalities (LMIs). If those LMIs are feasible, free parameters in the Lyapunov function, such as the positive definite matrix and the coefficients of the integral terms, are given by the solution of the LMIs. Otherwise, this Lyapunov function does not exist. Some sufficient conditions are also obtained for the robust absolute stability of uncertain systems. A numerical example is provided to demonstrate the effectiveness of the proposed method.
