Fundamental concepts and problem areas. Representation of dynamic systems: Differential equation models. Transfer functions. Analysis of feedback control systems: Stability. Root-locus. Nyquist and Bode diagrams. Accuracy. Speed of response. Robustness and sensitivity. Synthesis of simple control systems: Specifications. PID-controllers. Lead-lag compensation. State space models. State feedback. Pole placement. Observers. Digitally implemented controllers.
Intended learning outcomes *
After the course the student should be able to describe and explain how feedback mechanisms affect system properties such as stability, speed of response, precision, sensitivity and robustness. Furthermore, the student should be able to analyze and design feedback systems with respect to these properties.
In particular, after the course the student should be able to:
Describe and explain basic concepts and problems within control theory, such as block diagrams, inputs and outputs, transfer functions, poles, zeros, impulse response, step response, frequency response, stability feedback control, and feed forward control.
Based on a model in terms of nonlinear differential equations, derive linear system descriptions in the form of transfer functions, frequency responses and state space models.
Analyze a linear system description with respect to dynamic properties, such as stability, damping, speed of response, precision, disturbance sensitivity, robustness.
Analyze how a given feedback control law affects the above mentioned properties.
Design a feedback control law that provides desired dynamic properties based on compensation in the frequency domain, pole placement and feedback from observed states.
Give examples on applications of control systems in different technical areas.
Use control terminology in Swedish and English.
No information inserted
Literature and preparations
Specific prerequisites *
SF1683 Differential equations and transforms, or EQ1110 Continuous time signals and systems, or equivalent