Classical Control Systems Design

Establishes the theoretical basis of control system design and analysis. Topics covered are - system characteristics; use of Laplace transforms, transfer functions, first order systems, leads, lags & time delays, second order systems & damping, response time, block diagram algebra, open & closed loop transfer functions, final value theorem, higher order system approximation, characteristic equation, stability: frequency response techniques: Bode diagram and stability criteria; gain & phase margin, polar plots, open & closed loop responses: root locus; Evans rules, pole zero cancellation, design of controllers, lead-lag compensators: non-linear systems; types of non-linearity, describing functions, phase plane techniques, limit cycles, gain scheduling: signal processing; amplitude characterisation, probability distributions, auto & cross-correlation techniques, frequency characterisation, Fourier transforms, spectral density.

Practical work consists of exercises involving these techniques using the MATLAB and SIMULINK packages. [details]