This paper deals with the simultaneous estimation of states and unknown inputs for a class of Lipschitz nonlinear systems using only the measured outputs. The system is assumed to have bounded uncertainties that appea...This paper deals with the simultaneous estimation of states and unknown inputs for a class of Lipschitz nonlinear systems using only the measured outputs. The system is assumed to have bounded uncertainties that appear on both the state and output matrices. The observer design problem is formulated as a set of linear constraints which can be easily solved using linear matrix inequalities (LMI) technique. An application based on manipulator arm actuated by a direct current (DC) motor is presented to evaluate the performance of the proposed observer. The observer is applied to estimate both state and faults.展开更多
The aim of this paper is to study synchronization control for a class of chaotic systems whose nonlinear components are subject to Lipschitz condition.By using Lyapunov function and linear matrix inequality technique,...The aim of this paper is to study synchronization control for a class of chaotic systems whose nonlinear components are subject to Lipschitz condition.By using Lyapunov function and linear matrix inequality technique,a self-adaptive synchronization controller is constructed for the class of chaotic systems.Numerical simulations of Chen chaotic systems show the effectiveness of the method.Furthermore,this method can be applied to other chaotic systems,such as Lorenz system,Chua system and R?ssler system,et al.展开更多
文摘This paper deals with the simultaneous estimation of states and unknown inputs for a class of Lipschitz nonlinear systems using only the measured outputs. The system is assumed to have bounded uncertainties that appear on both the state and output matrices. The observer design problem is formulated as a set of linear constraints which can be easily solved using linear matrix inequalities (LMI) technique. An application based on manipulator arm actuated by a direct current (DC) motor is presented to evaluate the performance of the proposed observer. The observer is applied to estimate both state and faults.
文摘The aim of this paper is to study synchronization control for a class of chaotic systems whose nonlinear components are subject to Lipschitz condition.By using Lyapunov function and linear matrix inequality technique,a self-adaptive synchronization controller is constructed for the class of chaotic systems.Numerical simulations of Chen chaotic systems show the effectiveness of the method.Furthermore,this method can be applied to other chaotic systems,such as Lorenz system,Chua system and R?ssler system,et al.
