Can control theory be used to synthesize an analog electrical circuit or mechanical system?

Can control theory be used to synthesize an analog electrical circuit or mechanical system? I was thinking about Karnaugh maps and electronic design automation today, and somehow I started wondering if control theory can be used to mathematically derive an analog electrical circuit or a mechanical system? Any thoughts?|||Actually a better answer to this question is yes, you can use control theory to model electrical and mechanical systems. A inductor-resistor-capacitor (LRC) electrical system can be modeled using the dynamic equation of a LRC circuit by using the current equation Ldi/dt + Ri + C Si dt = 0. A spring-mass-damper (SMD) mechanical system can be modeled using the dynamic equation of a SMD diagram by using the velocity equation Mdv/dt + Bv + K Sv dt = 0. These two equations can be modeled in a control feedback loop where an applied current or velocity can be input. A PID is not necessary to model a system. It is only used as a method for stabilizing an unstable system. Other methods also exist for such linear systems as P, I, PI, PD.|||Control Systems can be used to mathematically model an electrical systems response to external inputs.





A good example is a feedback control loop for a motor. You set the values of your PID controller (electrically this is LRC circuit) that controls the speed based on readings from an encoder.





If you apply a load to the motor the PID controller will up the power to return the motor to it's designed speed.





The math used in controls is also used in dynamics and vibrations to model mechanical like a spring-mass-damper system.|||Yes and Yes. Read the Control Systems Engineering book by Ogata. He is "the man" in controls. He has worked through examples on the subject. He uses controls for mechanical, hydraulic and pneumatic, and for electrical circuits.