ECE 456556 System Modeling Mo Yuen Chow North Carolina State University All

Ece 456556 system modeling mo yuen chow north

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ECE 456/556 - System Modeling© Mo-Yuen Chow, North Carolina State University, All Rights Reserved11Different Damping ConditionsUn-damped condition= 0Over-damped condition> 1Critically Damped condition= 1Under-damped condition< 1
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ECE 456/556 - System Modeling© Mo-Yuen Chow, North Carolina State University, All Rights Reserved12Time-Frequency Domainxxn21ns1s2n0s-plane0246810121416182000.20.40.60.811.21.41.61.82t (sec)y (V)T05_step_response_wrt_eta.m
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Typical form of the response of an under-damped second-order system to a step inputRise time, trPeak time, tpOvershoot, MpSettling time, tsECE 456/556 - System Modeling© Mo-Yuen Chow, North Carolina State University, All Rights Reserved13Performance Measures for Second-Order SystemsLink:
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Performance Measures for Second-Order Systems – cont’ECE 456/556 - Control© Mo-Yuen Chow, North Carolina State University, All Rights Reserved14Step ResponseTime (sec)Amplitude024681012141600.20.40.60.811.21.4tsMptrtd0.9 0.5 0.1 Allowabletolerance 2% or 5%
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ECE 456/556 - Control© Mo-Yuen Chow, North Carolina State University, All Rights Reserved15Control modes1 The bang-bang(two-step)mode 2 The proportional mode (P) 3 The derivative mode (D) 4 The integral mode (I)   Pu tK e t  PU sK E s  Dde tu tKdt  DU sK sE s  Iu tKe t dt  IE sUsKs
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ECE 456/556 - Control© Mo-Yuen Chow, North Carolina State University, All Rights Reserved16Combinations of modesProportional plus derivative modes (PD), Proportional plus integral modes (PI), Proportional plus integral plus derivative modes (PID). The term three-term controller is used for PID control. U1PGainKP1sIGainKIdu/dtDGainKDE1
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ECE 456/556 - System Modeling© Mo-Yuen Chow, North Carolina State University, All Rights Reserved17Homework 6 AssignmentDownload from the course Moodle site.Due: Two lectures from today
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Dc Motor ExampleECE 456/556 - Control© Mo-Yuen Chow, North Carolina State University, All Rights Reserved18T05_DcMotorSIM_StateSpace.mdl
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Dc Motor DynamicsECE 456/556 - Control© Mo-Yuen Chow, North Carolina State University, All Rights Reserved19
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Dc Motor ControlsECE 456/556 - Control© Mo-Yuen Chow, North Carolina State University, All Rights Reserved20
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ECE 456/556 - Control© Mo-Yuen Chow, North Carolina State University, All Rights Reserved21Bang-bang control on a dc motor speed control (1st order system)speedONOFFRONOFFR12switch onswitch offw (rad/sec)Te (Nm)
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With Different Deadband ValuesECE 456/556 - Control© Mo-Yuen Chow, North Carolina State University, All Rights Reserved22eps_delta=0.2;eps_max=1;w_mu=0;w_sigma=0;i_case=eps_max/eps_delta; % simulate 5 different deadband valuefori = 1:i_case % i_max different values of epseps=i*eps_delta;eps_u=eps; % symmetric deadbandeps_l=-eps;sim('T05_DcMotorSIM_StateSpace');end
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