Output is simply the mass position, x(t).
The output equation in this state-space model assumes the system In this manner, the CCF form of the system becomes: As you learned in lecture, thisĬonversion is done using the following state definitions:
Īn easy state-space form to convert this system into is theĬontrollability canonical form (CCF). The differential equation for this simple system is. To begin, consider the same spring-mass-damper system from model creation using ss(), ssdata(), rss() Ssdata - extraction of state-space data from a SYS modelĬanon - canonical state-space realizationsĪ.
Of linear systems tools, a number of specialized state-space designĪnd analysis tools are available through the Control Systems Toolbox. In addition to MatLab's standard selection State space modeling of dynamic LTI systems allows the control systemĭesigner to bring the vast array of tools from linear system theory Lab 4 : MATLAB for controls - state space analysis Studio 4 : MATLAB for controls - state space analysis