In this paper,local stability and performance analysis of fractional-order linear systems with saturating elements are shown,which lead to less conservative information and data on the region of stability and the dist...In this paper,local stability and performance analysis of fractional-order linear systems with saturating elements are shown,which lead to less conservative information and data on the region of stability and the disturbance rejection.Then,a standard performance analysis and global stability by using Lyapunov’s second method are addressed,and the introduction of Lyapunov’s function candidate whose sub-level set provide stability region and performance with a restricted state space origin is also addressed.The results include both single and multiple saturation elements and can be extended to fractional-order linear systems with any nonlinear elements and nonlinear noise that satisfy Lipschitz condition.A noticeable application of these techniques is analysis of control fractional-order linear systems with saturation control inputs.展开更多
In this paper,the problem of guaranteed cost control and anti-windup design is studied for a class of switched systems with actuator saturation.The switching strategy and anti-windup compensator are designed to ensure...In this paper,the problem of guaranteed cost control and anti-windup design is studied for a class of switched systems with actuator saturation.The switching strategy and anti-windup compensator are designed to ensure the asymptotic stability of the closed-loop system and to obtain the minimum upper bound of the cost function.Some sufficient conditions for the existence of an anti-windup compensator of guaranteed cost are given by using the multiple Lyapunov functions method.On this basis,the minimum upper bound of the cost function is determined by solving the optimisation problem under the constraint of linear matrix inequality(LMI).Finally,a numerical example is given to verify the effectiveness of the proposed method.展开更多
文摘In this paper,local stability and performance analysis of fractional-order linear systems with saturating elements are shown,which lead to less conservative information and data on the region of stability and the disturbance rejection.Then,a standard performance analysis and global stability by using Lyapunov’s second method are addressed,and the introduction of Lyapunov’s function candidate whose sub-level set provide stability region and performance with a restricted state space origin is also addressed.The results include both single and multiple saturation elements and can be extended to fractional-order linear systems with any nonlinear elements and nonlinear noise that satisfy Lipschitz condition.A noticeable application of these techniques is analysis of control fractional-order linear systems with saturation control inputs.
基金the Natural Science Foundation of Liaoning Province of China[grant numbers 2020-MS-283 and 20180551014]the Scientific Research Fund of Education Department of Liaoning Province of China[grant number L2019016].
文摘In this paper,the problem of guaranteed cost control and anti-windup design is studied for a class of switched systems with actuator saturation.The switching strategy and anti-windup compensator are designed to ensure the asymptotic stability of the closed-loop system and to obtain the minimum upper bound of the cost function.Some sufficient conditions for the existence of an anti-windup compensator of guaranteed cost are given by using the multiple Lyapunov functions method.On this basis,the minimum upper bound of the cost function is determined by solving the optimisation problem under the constraint of linear matrix inequality(LMI).Finally,a numerical example is given to verify the effectiveness of the proposed method.
