The aim of this paper is to propose a new algorithm for multilevel stabilization of large scale systems.In two-level stabilization method,a set of local stabilizers for the individual subsystems in a completely decent...The aim of this paper is to propose a new algorithm for multilevel stabilization of large scale systems.In two-level stabilization method,a set of local stabilizers for the individual subsystems in a completely decentralized environment is designed.The solution of the control problem involves designing of a global controller on a higher hierarchical level that provides corrective signals to account for interconnections effect.The principle feature of this paper is to reduce conservativeness in global controller design.Here,the key point is to reduce the effect of interactions instead of neutralizing them.In fact,unlike prior methods,our idea does not ignore the possible beneficial aspects of the interactions and does not try to neutralize them.展开更多
Our comments point out some mistakes in the main theorem given by Yang and Qi in Ref. [1] concerning the equivalent passivity method to design a nonlinear controller for the stabilizing fractional order unified chaoti...Our comments point out some mistakes in the main theorem given by Yang and Qi in Ref. [1] concerning the equivalent passivity method to design a nonlinear controller for the stabilizing fractional order unified chaotic system. The proof of this theorem is not reliable, since the mathematical basis of the fractional order calculus is not considered. Moreover, there are some algebraic mistakes in the inequalities used, thus making the proof invalid. We propose a proper Lyapunov function and the stability of Yang and Qi＇s Controller is investigated based on the fractional order Lyapunov theorem.展开更多
文摘The aim of this paper is to propose a new algorithm for multilevel stabilization of large scale systems.In two-level stabilization method,a set of local stabilizers for the individual subsystems in a completely decentralized environment is designed.The solution of the control problem involves designing of a global controller on a higher hierarchical level that provides corrective signals to account for interconnections effect.The principle feature of this paper is to reduce conservativeness in global controller design.Here,the key point is to reduce the effect of interactions instead of neutralizing them.In fact,unlike prior methods,our idea does not ignore the possible beneficial aspects of the interactions and does not try to neutralize them.
文摘Our comments point out some mistakes in the main theorem given by Yang and Qi in Ref. [1] concerning the equivalent passivity method to design a nonlinear controller for the stabilizing fractional order unified chaotic system. The proof of this theorem is not reliable, since the mathematical basis of the fractional order calculus is not considered. Moreover, there are some algebraic mistakes in the inequalities used, thus making the proof invalid. We propose a proper Lyapunov function and the stability of Yang and Qi＇s Controller is investigated based on the fractional order Lyapunov theorem.
