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To introduce the students to the design and analysis of computer feedback control systems with an emphasis on the design of digital compensators and implementation issues.
Discrete-data theory Introduction, key features of digital control, some of the problems to be addressed. The theory of sampling, non-ideal and ideal sampling Frequency spectrum of a sampled signal, Nyquist sampling rate, aliasing Data reconstruction - from sampled signal to continuous-time signal, Zero-Order Hold The z-transform, relationship between s-plane and z-plane, Properties of the z-transform - the pulse transfer function & the Jury test The Inverse z-transform - 4 methods - (i) Power series, (ii) Partial fractions, (iii) Residues or Inversion integral, (iv) Difference equations Discrete State Space standard forms control and observer canonical and diagonal. The similarity transform and state transformations
Design of control algorithms Overview of design techniques Direct design in the z-domain Discrete PID Pole placement & Ackermans formula
Implementation considerations Realisation of algorithms using direct, cascade and parallel forms Selection of the sampling time, T Hardware and software considerations, interfacing, hardware options.
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