AE 308 Control Theory     2 1 0 6                                                                                                                              March 11, 2008

Prerequisite: Exposure to AE xxx Modeling and Simulation Lab

Introduction: Control objectives and tasks, open- and closed-loop control structures, negative and positive feedback

System response: Impulse response, convolution integral,
response of higher order systems to arbitrary and standard inputs in Laplace and time domains,
qualitative dependence on poles and zeros, dominant poles.

Stability: Asymptotic and bounded-input-bounded-output stability, characteristic equation and its roots,  role of characteristic roots in stability, Routh's criterion, relative and absolute stability,
impact of positive feedback on stability.

Root locus analysis: Closed-loop stability analysis using root locus, impact of open-loop poles and zeros on the root locus,
root locus for positive feedback systems, effect of gain in the feedback path, root loci for multiple parameters.

Frequency response: Magnitude and phase, frequency response of higher order systems, Bode, polar and Nichols plots, bandwidth, Nyquist
stability criterion, gain and phase margins.

Standard control actions: Proportional control, steady state error constants, system type, tracking control and integral control, lag compensator,
transient response improvement and derivative control, lead compensators.

Control design: Closed-loop performance specifications, gain and phase margins as design specifications, use of root locus, Bode plots in design
design rules for lag and lead compensators.

Special Topics: Non-minimum phase systems, PID Controllers and lag-lead
compensators, controllers in the feedback path, closed-loop robustness.

Text:
K. Ogata, Modern Control Engineering, 4th ed. Prentice Hall India, 2006.
B. C. Kuo and F. Golnaraghi, Automatic Control Systems, 8th ed., John Wiley & Sons, 2003.

References:
J. J. D'Azzo and C. H. Houpis, Linear Control Systems Analysis & Design - Conventional and Modern, 4th ed., McGraw-Hill, 1995.



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Control objectives; Review of Laplace transforms, transfer functions, impulse response;
Poles and transient response, transient response specifications;
Concept of stability; Open- and closed-loop systems, characteristic
equation, Routh's criterion;
Root locus analysis;
Tracking control objective and concept of Proportional
and integral control action, Transient response and derivative control action;
Non-minimum phase systems; Steady state response analysis, position,
velocity and acceleration error coefficients; Design of PI, PD & PID Controllers using root locus;
Frequency response concept & its representation in Bode' & polar plots,
Nyquist stability criterion, concept of gain and phase margins,
Design of controllers using frequency response, Concept of Lag, Lead &
Lag-Lead Compensators.