In this paper, author obtain sufficient condition for the boundedness of solutions of the second order nonlinear differential systemdxdt=y-φ(x), dydt=-yf(x)-g(x).(E)The result can be applied to the Liénard-type ...In this paper, author obtain sufficient condition for the boundedness of solutions of the second order nonlinear differential systemdxdt=y-φ(x), dydt=-yf(x)-g(x).(E)The result can be applied to the Liénard-type system, which substantially extends and imporves some important results associated with the same problems in the literatures [1—10] et al..展开更多
This paper is focused on the H_(∞) control problem for linear systems with interval timevarying delays.By employing a reciprocally convex combination approach and a delay decomposition approach,some new delay-depende...This paper is focused on the H_(∞) control problem for linear systems with interval timevarying delays.By employing a reciprocally convex combination approach and a delay decomposition approach,some new delay-dependent bounded real lemmas(BRLs) are derived such that the closedloop system is asymptotically stable with a prescribed H_(∞) level.The BRLs are then used to solve the H_(∞) controller design by incorporating with the cone complementary approach.Three numerical examples are finally given to show the validity of the proposed method.展开更多
A 3DOF (three degrees of freedom) helicopter attitude control system with multi-operationpoints is described as a MIMO time-varying uncertain nonlinear system with unknown constant param-eters,bounded disturbance and ...A 3DOF (three degrees of freedom) helicopter attitude control system with multi-operationpoints is described as a MIMO time-varying uncertain nonlinear system with unknown constant param-eters,bounded disturbance and nonlinear uncertainty,and a robust output feedback control methodbased on signal compensation is proposed.A controller designed by this method consists of a nominalcontroller and a robust compensator.The controller is linear time-invariant and can be realized easily.Robust attitude tracking property of closed-loop system is proven and experimental results show thatthe designed control system can guarantee high precision robust attitude control under multi-operationpoints.展开更多
文摘In this paper, author obtain sufficient condition for the boundedness of solutions of the second order nonlinear differential systemdxdt=y-φ(x), dydt=-yf(x)-g(x).(E)The result can be applied to the Liénard-type system, which substantially extends and imporves some important results associated with the same problems in the literatures [1—10] et al..
基金supported by the National Nature Science Foundation of China under Grant No.61203136the Natural Science Foundation of Hunan Province of China Grant Nos.2015JJ5021 and 2015JJ3064the Construct Program of the Key Discipline in Hunan Province
文摘This paper is focused on the H_(∞) control problem for linear systems with interval timevarying delays.By employing a reciprocally convex combination approach and a delay decomposition approach,some new delay-dependent bounded real lemmas(BRLs) are derived such that the closedloop system is asymptotically stable with a prescribed H_(∞) level.The BRLs are then used to solve the H_(∞) controller design by incorporating with the cone complementary approach.Three numerical examples are finally given to show the validity of the proposed method.
基金supported by the National Natural Science Foundation of China under Grant Nos. 60674017 and 60736024
文摘A 3DOF (three degrees of freedom) helicopter attitude control system with multi-operationpoints is described as a MIMO time-varying uncertain nonlinear system with unknown constant param-eters,bounded disturbance and nonlinear uncertainty,and a robust output feedback control methodbased on signal compensation is proposed.A controller designed by this method consists of a nominalcontroller and a robust compensator.The controller is linear time-invariant and can be realized easily.Robust attitude tracking property of closed-loop system is proven and experimental results show thatthe designed control system can guarantee high precision robust attitude control under multi-operationpoints.