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Feedback control for a class of second order hyperbolic distributed parameter systems
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DOI：10.1007/s11432-016-5554-4.png)
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Abstract
En 中文
This paper deals with the problem of state feedback control for a class of the distributed parameter systems with the disturbance term. And the considered distributed parameter systems are composed of the second order hyperbolic partial differential equations. Two different classes of restrictions on the disturbance term are given, one is that the disturbance term satisfies the linear growth constraint condition to the state variables of the system, and the other is that the disturbance term obeys the bound constraint under the significance of L-2. Based on a variable structure method, the state feedback controllers are obtained by means of constructing appropriate Lyapunov functional. The closed-loop systems are globally asymptotically stable on W-1,W-2(0,W- 1) x L-2(0, 1) space under the effect of the state feedback control laws. Simulation results illustrate the effectiveness of the proposed method.
Keywords:
feedback
globally asymptotically stable
second order hyperbolic distributed parameter systems
variable structure method
Lyapunov functional
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