Abstract
This paper is concerned with the design of a discrete time adaptive observer having exponentially converging properties to estimate state variables and identify parameters of an unknown linear time-invariant single-input single-output discrete time system. The observer structure is based on Kreisselmeier type parametrized representation of the system, but in this study parameter adjusting law is obtained by a new scheme. The adjusting law is determined by equations forcing an evaluation of errors into decreasing exponentially. That is, the adaptive observer is designed with an exponential rate of convergence in respect to parameter mismatches. The convergence rate is related on small number of design parameters of the observer and a high rate of convergence can be obtained. A sufficient condition for this property is obtained. An example of the thirdorder system is given to show the effectiveness of this design scheme.
