Analog circuit analysis based on state variable approach via Matlab

摘要

An improving efficient algorithm for generation of the state equations in full symbolic, partly symbolic or numeric normal-form is presented. This algorithm has been implemented in a program — called SYSEG — SYmbolic State Equation Generation. The program allows the formulation of symbolic state equations without any inverse of a symbolic matrix, and, by cancellation and simplification of the expressions it offers a symbolic compact form. SYSEG program identifies, as type and number, any kind of excess elements, ant it can analyze and design both linear and nonlinear analog circuits. The state equations can be integrated with Matlab routines. Using the state equations in operational form (for the linear and/or piecewise-linear nonlinear analog circuits) the transfer functions in full symbolic, partly symbolic or numeric form are generated. An illustrative example is given to prove that SYSEG program is a very useful tool for symbolic analysis and design of linear and/or nonlinear time-invariant analog circuits.