This paper investigates the design of robust guaranteed cost observer for a class of lineardescriptor time-delay systems with jumping parameters. The system under study involves time de-lays, jumping parameters and un...This paper investigates the design of robust guaranteed cost observer for a class of lineardescriptor time-delay systems with jumping parameters. The system under study involves time de-lays, jumping parameters and uncertainties. The transition of the jumping parameters in systems isgoverned by a finite-state Markov process. The objective is to design linear memoryless observers suchthat for all uncertainties, the resulting augmented system is regular, impulse free, robust stochasti-cally stable independent of delays and satisfies the proposed guaranteed cost performance. Based onstability theory in stochastic differential equations, a sufficient condition on the existence of robustguaranteed cost observers is derived. Robust guaranteed cost observers are designed in terms of linearmatrix inequalities. A convex optimization problem with LMI constraints is formulated to design thesuboptimal guaranteed cost filters.展开更多
A robust anti-swing control method based on the error transformation function is proposed,and the problem is handled for the unmanned helicopter slung-load system(HSLS)deviating from the equilibrium state due to the d...A robust anti-swing control method based on the error transformation function is proposed,and the problem is handled for the unmanned helicopter slung-load system(HSLS)deviating from the equilibrium state due to the disturbances in the lifting process.First,the nonlinear model of unmanned HSLS is established.Second,the errors of swing angles are constructed by using the two ideal swing angle values and the actual swing angle values for the unmanned HSLS under flat flight,and the error transformation functions are investigated to guarantee that the errors of swing angles satisfy the prescribed performance.Third,the nonlinear disturbance observers are introduced to estimate the bounded disturbances,and the robust controllers of the unmanned HSLS,the velocity and the attitude subsystems are designed based on the prescribed performance method,the output of disturbance observer and the sliding mode backstepping strategy,respectively.Fourth,the Lyapunov function is developed to prove the stability of the closed-loop system.Finally,the simulation studies are shown to demonstrate the effectiveness of the control strategy.展开更多
基金Outstanding Youth Science Foundation of P.R.China
文摘This paper investigates the design of robust guaranteed cost observer for a class of lineardescriptor time-delay systems with jumping parameters. The system under study involves time de-lays, jumping parameters and uncertainties. The transition of the jumping parameters in systems isgoverned by a finite-state Markov process. The objective is to design linear memoryless observers suchthat for all uncertainties, the resulting augmented system is regular, impulse free, robust stochasti-cally stable independent of delays and satisfies the proposed guaranteed cost performance. Based onstability theory in stochastic differential equations, a sufficient condition on the existence of robustguaranteed cost observers is derived. Robust guaranteed cost observers are designed in terms of linearmatrix inequalities. A convex optimization problem with LMI constraints is formulated to design thesuboptimal guaranteed cost filters.
基金This work was supported in part by the National Natural Science Foundation of China(No.62003163)the National Science Fund for the Key R&D projects(Social Development)in Jiangsu Province of China(No.BE2020704)+3 种基金the Aeronautical Science Foundation of China(Nos.201957052001,20200007052001)the Jiangsu Province“333”project(No.BRA2019051)the Postdoctoral Research Foundation of Jiangsu Province(No.2020Z112)the Natural Science Foundation of Jiangsu Province for Young Scholars(No.BK20200415)。
文摘A robust anti-swing control method based on the error transformation function is proposed,and the problem is handled for the unmanned helicopter slung-load system(HSLS)deviating from the equilibrium state due to the disturbances in the lifting process.First,the nonlinear model of unmanned HSLS is established.Second,the errors of swing angles are constructed by using the two ideal swing angle values and the actual swing angle values for the unmanned HSLS under flat flight,and the error transformation functions are investigated to guarantee that the errors of swing angles satisfy the prescribed performance.Third,the nonlinear disturbance observers are introduced to estimate the bounded disturbances,and the robust controllers of the unmanned HSLS,the velocity and the attitude subsystems are designed based on the prescribed performance method,the output of disturbance observer and the sliding mode backstepping strategy,respectively.Fourth,the Lyapunov function is developed to prove the stability of the closed-loop system.Finally,the simulation studies are shown to demonstrate the effectiveness of the control strategy.
