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This lecture covers digital controller design, focusing on discrete-time models, RST controller, and the pole placement technique. It explains the desired closed-loop poles, regulation using the Diophantine Equation, and tracking. Related design methods include Internal Model Control (IMC) and Model Reference Control (MRC). The lecture also discusses difference operator models, backward shift operators, and the advantages of RST controllers. It delves into the computation of R and S in regulation, the concept of dominant and auxiliary poles, and the computation of desired closed-loop polynomials. The lecture concludes with examples and the computation of R and S fixed terms in the regulator.