Performance of FCS2018 mk

Nguyễn Công Phương CONTROL SYSTEM DESIGN The Performance of Feedback Control Systems Contents I Introduction II Mathematical Models of Systems III State Variable Models IV Feedback Control System Characteristics V The Performance of Feedback Control Systems VI The Stability of Linear Feedback Systems VII The Root Locus Method VIII.Frequency Response Methods IX Stability in the Frequency Domain X The Design of Feedback Control Systems XI The Design of State Variable Feedback Systems XII Robust Control Systems XIII.Digital Control Systems s i tes.google.com/site/ncpdhbkhn The Performance of Feedback Control Systems Introduction Test Input Signals Performance of Second – Order Systems Effects of a Third Pole & a Zero on the Second – Order System Response The s – Plane Root Location & the Transient Response The Steady – State Error of Feedback Control Systems Performance Indices The Simplification of Linear Systems System Performance Using Control Design Software s i tes.google.com/site/ncpdhbkhn Introduction Performance measure, M1 Performance measure, M2 pmin Parameter, p s i tes.google.com/site/ncpdhbkhn The Performance of Feedback Control Systems Introduction Test Input Signals Performance of Second – Order Systems Effects of a Third Pole & a Zero on the Second – Order System Response The s – Plane Root Location & the Transient Response The Steady – State Error of Feedback Control Systems Performance Indices The Simplification of Linear Systems System Performance Using Control Design Software s i tes.google.com/site/ncpdhbkhn Test Input Signals (1) • If the system is stable, the response to a specific input signal will provide several measures of the performance • But because the actual input signal of a system is usually unknown, a standard test input signal is normally chosen • Using a standard input allows the designer to compare several competing designs • Many control systems experience input signals that are very similar to the standard test signals • types: – Unit impulse, – Step, – Ramp, – Parabolic s i tes.google.com/site/ncpdhbkhn Test Input Signals (2) r(t ) − r ( t) ε ε 2 1  , r(t ) =  ε 0, ε A t ε ≤t≤ , ε →0 ; R ( s) = 2 otherwise Unit impulse − t Ramp  A, t > A r(t ) =  ; R( s) = s 0, t < Step Parabolic r ( t) r ( t) A t  At, t > A r(t ) =  ; R (s) = t 2A r(t ) =  ; R ( s) = t