NobleBlocks

Research indexBook chapter

Analysis Methods

Stefani, Wolovich

15 Jan 2019

NobleIDark:/48914/w1/20260524/E575C580DOI10.1201/9781315214030-8

Paywalled

The full text is at the publisher

You can read the abstract here, or open it at the publisher.

Read at the publisher

Abstract

The division of the total response into zero-state and zero input components is a rather natural and logical division because these zero-input responses can easily be obtained empirically by setting either the initial conditions or the input to zero and then obtaining each response. The forced response cannot be obtained separately in most cases, so the division into forced and natural components is more mathematical than practical. Many systems are describable by a second-order linear differential equation with constant coefficients while many other higherorder systems have complex conjugate dominant roots that cause the response to be nearly second order. Thus, the study of second- order response characteristics is important in understanding system behavior. Most physical systems are designed so that the control input does affect the complete system and, as a consequence, an appropriate controller does exist. The ultimate objective of any control system is to improve and often to optimize the performance of a given dynamical system.

Discussion

Topics

More

Suggest a correction or report