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Control Systems

by: Sarina Wintheiser

Control Systems ECE 411

Sarina Wintheiser
GPA 3.8


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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 411 at Colorado State University taught by Staff in Fall. Since its upload, it has received 69 views. For similar materials see /class/210307/ece-411-colorado-state-university in ELECTRICAL AND COMPUTER ENGINEERING at Colorado State University.

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Date Created: 09/22/15
ECE 411 Control IN Signals and Systems a Understand basic signals impulses steps sinusoids exponentia s Understand both real and complex valued signals particularly exponentials Can perform basic signal manipulations scaling translation re ection time s 39 Can decompose signals into basic elements steps ramps etc Understand basic concepts of Linear TimeInvariant LTI SingleInputSingleOutput SISO systems Can apply principle of superposition Transform Methods a Can analyze signals via Fourier Transform forward and inverse using tables for frequency content Understand properties of Fourier Transform especially timedomain convolution versus frequency domain multiplication Can analyze causal signals via onesided Laplace Transform forward and inverse tables Understand properties of Laplace Transform especially timedomain convolution versus frequency domain multiplication AND nal value eorem for steady state analysis Linear Systems a Understand basic concepts for SISO LTI systems including linearity timeinvariance memory causality stability Can manipulate and solve ordinary differential equations ODEs Can swrtch ween ve representations ODE tran convolution representation via impuls e resp ons e Prereguisites Concepts Open and ClosedLoop Systems Performance in both Time and Frequency Domain Transient and Steady State Response Connections between TimeDomain Frequency Domain and PoleZero Location in both Open and ClosedLoop 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 p o s Controller Design via classical methods Integral action and PID controllers State Space approaches Applications Stability and performance analysis for open and closed loop systems Feedback controller design Tools Complex Algebra and Analysis Ordinary Differential Equations Laplace and Fourier Transforms MatLab and Simulink plus Toolboxes control signal processing symbolic Graphical Techniques Bode plots Nyquist plots root locus plots ECE312 As of 12908 Systems OUT Classical ClosedLoop Analysis Can compute steady state performance for closeloo systems via nal value theorem Understand concept and utility of integral action Understand concepts of timeconstant damping ratio and natural frequency mpute transient response parameters overshoot rise time settle time impulses step and ramp response an compute stability margins via NyquistBode analysis Can check stability via Routh test Can check for stability via NyquistBode plots Can check for stability via root locus plot Understand connection between open and closed loop Understand connections between TimeDomain Frequency Domain and Pol Zero Location State Space Representation a Can switch between state space system representatio and ODE transfer function impulse res onse Can construct state and simulation diagrams for implementation Can solve systems of state space equations Understand connection between system poles and state matrix eigenvalues Controller Design a Can design lag lead and laglead controllers Can design PI PD and PID controllers Can design controllers using NyquistBode plots and root locus approaches Can design controllers using analytic approach Computer Aided Tools Can perform all calculations above by hand for sim e systems Canperform all calculations above in Matlab including commandline and GUI based tools Itiview sisotool Can write custom m les for controller analysis and design Can develop Simulink models for analysis and simulation


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