ME369 Modeling,Analysis and System Control-A --Lecture 141020 Week 6# Oct.20(M) Quiz 1 Ch5.1, Transient,first order systems 5.2 Oct.22(W) Transient,second order systems Ch5.3 Week 7# Oct.27(M) Transient,second order system, Ch5.3~5. spec. 6 Transient,higher order system Ch5.45. 0ct.29(W) HW4 Stability,Routh Criterion 7
ME369 Modeling, Analysis and System Control-A --Lecture_141020 Week 6# Oct.20(M) Quiz 1 Transient, first order systems Ch5.1, 5.2 Oct.22(W) Transient, second order systems Ch5.3 Week 7# Oct.27(M) Transient, second order system, spec. Ch5.3~5. 6 Oct.29(W) Transient, higher order system Stability, Routh Criterion Ch5.4~5. 7 HW4
Outline of today's PPT file Transient Response of First-Order Systems 一阶系统的瞬态响应 Step response (阶跃响应) Ramp response (斜坡响应) Impulse response (脉冲响应) Transient Response of Second-Order Systems 二阶系统的瞬态响应 -Step response Ramp response
Outline of today’s PPT file • Transient Response of First-Order Systems 一阶系统的瞬态响应 – Step response (阶跃响应 ) – Ramp response (斜坡响应 ) – Impulse response (脉冲响应 ) • Transient Response of Second-Order Systems 二阶系统的瞬态响应 – Step response – Ramp response
Time Response Step Response 1.6 . Given the dy 1.4 domain resp Transient-state 12Transient-response solved by co are known. Solving the r意 0.8 Steady state. o response or output analytically g 0.6 0.4 Commonly u 0.2 solutions incl sinusoidal sig 10 15 20 25 30 Time (sec) Input signals Control System Time Response Time Domain
Time Response • Given the dynamic model (TF or SS), the time domain response under arbitrary inputs can be solved by computers, if proper initial conditions are known. • Solving the response under simple input analytically gives important insight. • Commonly used input signals for analytical solutions include step, impulse, ramp, and sinusoidal signals. Time Response Time Domain Input signals Step Response Time (sec) Amplitude 0 5 10 15 20 25 30 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 Transient-state Transient-response Steady state response or output
Outline of today's PPT file Transient Response of First-Order Systems √Step response (阶跃响应) Ramp response Impulse response Transient Response of Second-Order Systems - Step response - Ramp response
Outline of today’s PPT file Transient Response of First-Order Systems Step response (阶跃响应 ) – Ramp response – Impulse response • Transient Response of Second-Order Systems – Step response – Ramp response
Example of First-Order System U。-(t) R R u(t) M0=己Jd 0-i0=。-0 dt R RC du(=Uo dt U(s) 1 1 U.(s) RCs+1 Ts+1
Example of First-Order System 0 ( ) ( ) U ut i t R 0 () () ( ) du t U u t C it dt R 0 ( ) ( ) du t RC u t U dt U0 u t( ) R C i t( ) 1 u t i t dt () () C 0 () 1 1 () 1 1 U s U s RCs Ts