Abstract
This paper proposes a design method of a single-input single-output model reference adaptive control system with desired rate of exponential convergence. The design scheme is based on the concept of an adjusting law used in an adaptive observer with an exponential rate of convergence developed by authors. State variable filters are used in the estimation procedure of the output error between the plant and the model. Additional filters are also included in the adaptive scheme in order to avoid the use of derivatives of output signals. The control input signal is determined by equations making the estimated output error go to zero with an exponential rate. In addition, the augmented error vanishes exponentially. Therefore, the output error decreases with an exponential rate of convergence. The convergence rate is specified arbitrarily.
The effect of the design scheme is confirmed by applying it to a second order thermal experimental system.
