Control system design from inverse closed loop specification

In this effort a new approach to linear control system design is taken. Rather than use conventional methods, such as bode plots or root locus, we solve for the return ratio (negative open loop gain) from the closed loop transfer function specification, assuming a single feedback loop configuration. The resulting return ratio is then visualized as an actuator and a cascade controller that can be realized to meet required performance. The work here is restricted to continuous systems with type 1 and 2 controllers, but can be extended to higher order systems if desired. However, this restriction covers both position and velocity control, which prevails among the industry. The method is exact and is easily verified with such software tools as MATLAB or VISSIM.