Introduction to Control, 5 cr

Core content

• Introduction to control engineering systems. Specifications. Open loop, feedforward, 1DOF (error feedback) control. Block diagrams. PID control. Filtering. Alternate implementations and modifications of PI, PD and PID controllers. Boss knowledge: i.e. why/what/how should be done for success in the business.
• Mathematical Modelling. Equilibrium. Linearization. (LTI) Linear Time Invariant. Sensitivity. Standard form of a linear state space model. Laplace transform. Polynomial and transfer function models. Simplification of block diagrams. Simulink simulation. Use of Control System Toolbox and Symbolic Math Toolbox of Matlab for modelling and simulation.
  
• Controllability and observability. Minimum realization. Eigenvalues, poles, zeros. Internal and external stability. Inverse of a rational Laplace Transform. On convergence and boundedness of the signals. Reduced Routh Test.
  
• Periodic phenomena and their frequency response analysis. Analysis of nominal and robust stability and performance concerning asymptotic accuracy, speed and damping. Frequency Response Design of Stability and Dynamics.
• Derivation, tuning and implementation of compensator and controller structures with functional blocks.
• Use of Matlab commands, Control System Toolbox and Symbolic Math Toolbox for analysis of stability, accuracy and dynamics.
  
• Seminars deal with (1) Root Locus and (2) Nyquist Stability Theorem. They will not imply exam questions.
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Complementary knowledge

• Bilateral Laplace Transform. Transfer functions of Eigenfunctions. Operator transfer functions.

Specialist knowledge

• Analog electronics implementation of filters, compensators and controllers.