This paper focuses on the robust adaptive control problems for a class of interval time-delay systems and a class of large-scale interconnected systems. The nonlinear uncertainties of the systems under study are bound...This paper focuses on the robust adaptive control problems for a class of interval time-delay systems and a class of large-scale interconnected systems. The nonlinear uncertainties of the systems under study are bounded by high- order polynomial functions with unknown gains. Firstly, the adaptive feedback controller which can guarantee the stability of the closed-loop system in the sense of uniform ultimate boundedness is proposed. Then the proposed adaptive idea is extended to robust stabilizing designing method for a class of large-scale interconnected systems. Here, another problem we address is to design a decentralized feedback adaptive controller such that the closed-loop system is stable in the sense of uniform ultimate boundedness for all admissible uncertainties and time-delay. Finally, an illustrative example is given to show the validity of the proposed approach.展开更多
We consider the neutral functional differential equation(NFDE)with infinite delayd/dt D_x_t=f(t,x_t) and the neutral Volterra integro-differential equation ■ where x∈R^n, f: R×B→R^n is continuous, B is a given...We consider the neutral functional differential equation(NFDE)with infinite delayd/dt D_x_t=f(t,x_t) and the neutral Volterra integro-differential equation ■ where x∈R^n, f: R×B→R^n is continuous, B is a given phase space, D: B→R^n is a linear and continuous function, A, C, E are continuous functions.展开更多
We consider a system of neutral equations with unbounded delay, and derive conditions on Liapunov functionals to ensure that the solutions are uniformly bounded and uniformly ultimately bounded.
基金This work was supported by the National Natural Science Foundation of China (No. 60325311, 60274017).
文摘This paper focuses on the robust adaptive control problems for a class of interval time-delay systems and a class of large-scale interconnected systems. The nonlinear uncertainties of the systems under study are bounded by high- order polynomial functions with unknown gains. Firstly, the adaptive feedback controller which can guarantee the stability of the closed-loop system in the sense of uniform ultimate boundedness is proposed. Then the proposed adaptive idea is extended to robust stabilizing designing method for a class of large-scale interconnected systems. Here, another problem we address is to design a decentralized feedback adaptive controller such that the closed-loop system is stable in the sense of uniform ultimate boundedness for all admissible uncertainties and time-delay. Finally, an illustrative example is given to show the validity of the proposed approach.
文摘We consider the neutral functional differential equation(NFDE)with infinite delayd/dt D_x_t=f(t,x_t) and the neutral Volterra integro-differential equation ■ where x∈R^n, f: R×B→R^n is continuous, B is a given phase space, D: B→R^n is a linear and continuous function, A, C, E are continuous functions.
文摘We consider a system of neutral equations with unbounded delay, and derive conditions on Liapunov functionals to ensure that the solutions are uniformly bounded and uniformly ultimately bounded.
