ELE 809 Study Guide - Comprehensive Final Exam Guide - Transfer Function, Polynomial, Volkswagen Beetle

• School: Ryerson University
• Department: Electrical Engineering
• Course: ELE 809
• Professor: Xiaoming Nan

Document Summary

Steady-state errors (next chapter: transientresponseandsteady-stateerrorare meaningless for an, this chapter investigates stability for linear time- invariant (lti) unstable system. systems. Introduction: whatisstability, systemtotalresponse, if t cforced (t) results in cnatural (t) c(t) cnatural (t) then the lti system is results incnatural (t) 0 then the lti system is stable. results in natural remaining constant or unstable. c (t) t: if t, if oscillating, then the lti system is marginally stable. Introduction: iftheinputisunbounded,forcedresponsecouldbe unbounded as well, bounded-inputbounded-output(bibo)stability: - a system is stable if (hard to determine the stability) every bounded input yields a bounded output. (stable systems) A system is unstable if every bounded input yields a unbounded output. (marginally stable and unstable systems) Stable systems have closed-loop transfer functions with poles only in the left half-plane. Unstable systems have closed-loop transfer functions with at least one pole in the right half-plane and/or poles of multiplicity greater than 1 on the imaginary axis.