Symbolic CAD system for algebraic approach on MATLAB-Symbolic Control Toolbox

This paper has dealt with the prototype symbolic manipulation CAD system-Symbolic Control Toolbox-running on MATLAB. The functions are implemented in the conventional numerical CAD system. Compared with numerical CAD our system has the following advantages: there exists no roundoff or truncated error; the adopted algorithms are so systematic and well-defined that functions are implemented easily over various rings corresponding to control theories by using the symbolic computation; and the results of the system can be extended easily to n-dimensional system theories.