Lecture Control system design: The performance of feedback control systems - Nguyễn Công Phương

This chapter presents the following content: 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.
Nội dung trích xuất từ tài liệu:
Lecture Control system design: The performance of feedback control systems - Nguyễn Công Phương Nguyễn Công PhươngCONTROL SYSTEM DESIGN The Performance of Feedback Control Systems ContentsI. IntroductionII. Mathematical Models of SystemsIII. State Variable ModelsIV. Feedback Control System CharacteristicsV. The Performance of Feedback Control SystemsVI. The Stability of Linear Feedback SystemsVII. The Root Locus MethodVIII.Frequency Response MethodsIX. Stability in the Frequency DomainX. The Design of Feedback Control SystemsXI. The Design of State Variable Feedback SystemsXII. Robust Control SystemsXIII.Digital Control Systems sites.google.com/site/ncpdhbkhn 2 The Performance of Feedback Control Systems1. Introduction2. Test Input Signals3. Performance of Second – Order Systems4. Effects of a Third Pole & a Zero on the Second – Order System Response5. The s – Plane Root Location & the Transient Response6. The Steady – State Error of Feedback Control Systems7. Performance Indices8. The Simplification of Linear Systems9. System Performance Using Control Design Software sites.google.com/site/ncpdhbkhn 3 IntroductionPerformance Performancemeasure, M1 measure, M2 pmin Parameter, p sites.google.com/site/ncpdhbkhn 4 The Performance of Feedback Control Systems1. Introduction2. Test Input Signals3. Performance of Second – Order Systems4. Effects of a Third Pole & a Zero on the Second – Order System Response5. The s – Plane Root Location & the Transient Response6. The Steady – State Error of Feedback Control Systems7. Performance Indices8. The Simplification of Linear Systems9. System Performance Using Control Design Software sites.google.com/site/ncpdhbkhn 5 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.• 4 types: – Unit impulse, – Step, – Ramp, – Parabolic. sites.google.com/site/ncpdhbkhn 6 Test Input Signals (2) r (t ) r (t )   A  2 2 0 t 0 t 1    ,   t  ,  0  A, t  0 Ar (t )    2 2 ; R( s )  1 r (t )   ; R( s )  0, otherwise 0, t  0 s Unit impulse Step Ramp Parabolic r (t ) r (t ) A 0 t 0 t  At , t  0 A  At 2 , t  0 2A r (t )   ; R( s )  2 r (t )   ; R( s )  3 0, t0 s 0, t0 s sites.google.com/site/ncpdhbkhn 7 The Performance of Feedback Control Systems1. Introduction2. Test Input Signals3. Performance of Second – Order Systems4. Effects of a Third Pole & a Zero on the Second – Order System Response5. The s – Plane Root Location & the Transient Response6. The Steady – State Error of Feedback Control Systems7. Performance Indices8. The Simplification of Linear Systems9. System Performance Using Control Design Software sites.google.com/site/ncpdhbkhn 8 Performance of Second – Order Systems (1) R( s) n2 Y ( s) ...