Measurement of Continuous-Time Linear System Parameters Via Walsh Functions

The parameters of a continuous-time linear system are identified by use of an integral equation representation of plant-dynamics. Walsh functions are used to express the integral functions in terms of measured periodic output data. A simple method for numerical evaluation of the integral functions using matrices is given. Emphasis is placed on reducing computational requirements and in developing compact programs so that implementation on a 16-bit microprocessor is feasible. Computer simulations and experimental results obtained with a Texas Instrument 9900 microprocessor are used to discuss truncation errors, correction factors, and estimation accuracies.