Abstract
The model reference adaptive control (MRAC) problems for lumped parameter systems have been actively investigated. For distributed parameter systems, the MRAC problems have been recently studied by some reserchers, who used infinite dimensional compensators to solve those problems. Hence, their methods are not useful for practical applications. Afterwards, the finite dimensional adaptive controllers for distributed parameter systems were proposed. In one of them, the nonlinear control laws and the adaptive laws with dead-zones were used, and the uniformly bounded adaptive control systems were proposed for distributed parameter systems of parabolic type.
In the present paper, we apply that method to distributed parameter systems of hyperbolic type, and construct adaptive control systems by finite dimensional controllers. It is shown that the resulting control systems are uniformly bounded for any bounded reference signals which the output of the process must follow, and that the tracking error converges to a small residual set whose magnitude can be determined freely. Finally, some simulation results show the effectiveness and simplicity of the proposed method.
