Title :
Using time moments to determine system response
Author :
Holder, Morris E. ; Thomason, Virgil A.
Author_Institution :
Sch. of Eng., Tennessee Univ., Chattanooga, TN, USA
fDate :
9/1/1988 12:00:00 AM
Abstract :
Through the evaluation of the convolution of the impulse response of a system with a given forcing function, the response of the system to that forcing function can be determined. Two novel methods of obtaining the system response are presented using the time-moments of the individual elements acting on the system to determine the response of the system. Both methods presented use a Taylor series expansion of one of the two functions being convolved under the integral to obtain the response for a first-order system. In each case an algorithm is developed which shows the system response as the summation of a series of moment/derivative products. The response of higher-order systems can be obtained using these methods by decomposing them into coupled first-order systems. These two methods are easily programmed on a digital computer. A practical example is presented, and the results are compared with those obtained using the classical Laplace transform technique
Keywords :
dynamic response; series (mathematics); system theory; time-domain analysis; Taylor series expansion; convolution; coupled first-order systems; forcing function; higher-order systems; impulse response; moment/derivative products; system-response determination; time moments; Circuits and systems; Convolution; Laplace equations; Mathematical model; Nonlinear equations; Polynomials; Taylor series;
Journal_Title :
Circuits and Systems, IEEE Transactions on