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Digital Control and Digital Filters

by: Sarina Wintheiser

Digital Control and Digital Filters ECE 412

Sarina Wintheiser
GPA 3.8


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About this Document

Class Notes
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This 1 page Class Notes was uploaded by Sarina Wintheiser on Tuesday September 22, 2015. The Class Notes belongs to ECE 412 at Colorado State University taught by Staff in Fall. Since its upload, it has received 26 views. For similar materials see /class/210300/ece-412-colorado-state-university in ELECTRICAL AND COMPUTER ENGINEERING at Colorado State University.


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Date Created: 09/22/15
ECE 412 D IN Transform Methods r Can analyze causal signals via onesided Z Transform forward and inverse using tables Understand properties of Z Transform especially timedomain convolution versus frequency domain multiplication AND nal value theorem for steady state analysis Understand use and properties ofDiscreteTime Fourier Transform for frequency content of digital signals particularly time domain convolution versus frequency domain multiplication Understand concept of aliasing for discretetime frequency response Linear Systems an manipulate and solve ordinary difference equations ODEs Can compute via pulse transfer functions Can compute time domain convolu ion Can switch between the above system representation ODE transfer function and convolution representation via impulse response Control Systems Understand NyquistBode and Root Locus plots and their relation to stability analysis Can analyze system stability and compute stability margins gain and phase an analyze closedloop system steady state and transient response using classical tools RouthNyquistBodeRoot LocusFinal Value Theorem Can design Lag Lead LagLead PI PD PID controllers Can formulate and solve state space systems and switch to other representation transfer function Can utilize Matlab and Simulink for controller analvsis simulation and design Filters I Understand basic ltering concepts Can design standard analog lters Prerequisites a ECE411 As of 12908 Co n ce pts Sampling and reconstruction for signals and systems Nyquist sampling rate and aliasing Sampled data control systems Zero order hold equivalence Nyquist Stability Criterion Stability Margins Gain and Phase and their relation to Nyquist and Bode plots PoleZero Location and the Effects of Feedback root locus plots Controller Design via classical methods Integral action and PID controllers State Space approaches Bilinear an impulse i variant transformations 11R and FIR digital lters Applications Stability and performance analysis for open and closed loop digital and sampleddata systems Digital feedback controller design Numerical approximation and mappings from continuous to discretetime Digital lter design Tools Complex Algebra and Analysis Ordinary Difference Equations Series and sequences Z Transform and starred transform and Discrete Time Fourier Transform Matlab and Simulink plus Toolboxes control signal processing symbolic Graphical Techniques Bode plots Nyquist plots root locus plots igital Control and Digital Filters OUT Classical ClosedLoop Analysis V Can compute zero order hold equivalent system Can compute steady state performance for closedloop systems via nal value theorem Can compute transient performance parameters Can compute stability margins via NyquistBode analysis Can check stability via RouthJury test NyquistBode plots andor root locus plot State Space Representation a Can switch between state space system representatio and ODE pulse transfer function pulse response Can construct state and simulation diagrams for implementation Can solve system of state space equations Controller Design a Can design lag lead and laglead controllers PIP and PID controllers Can design controllers using NyquistBode root locus and analytic approaches Can design controllers via mapping from continuous e tim Can design controllers via direct digital design Filter Design a Can design Butterworth Chebyshev Elliptic and Bessel lters Can design low pass high pass band pass and band stop lters Can design lters via mapping from continuous time Understand basic concepts of HR FIR lters Understand basic approaches to direct digital design Computer Aided Tools Can perform all calculations above by hand for simif e systems Can perform all above calculations in Matlab Can develop Simulink models for analysis and s irnulation


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