Biological Automatic Control

Aim

After completing this course students should be able to describe the basic requirements for and limitations of automatic control. Students should also be able to perform analysis and systematic construction of feedback control systems. This means that students will be expected to be able to do the following after completing this course:

• Define basic concepts in the area of automatic control.
• Transform mathematical models of linear dynamic systems between time domain input/output form, transfer function form, and state space form.
• Analyse models of linear dynamic systems that are given in the forms above with respect to stability, pole placement, rise time, damping, controllability and observability.
• Demonstrate the connections between the system properties of stability, rise time and damping in time and frequency domains.
• Derive input/output signal relationships in feedback control systems using block diagram calculations.
• Perform stability analysis of feedback control systems using Bode diagrams.
• Construct regulators in PID-form, lead-lag form, state space form, and feedforward form based on given specifications.
• Perform stability and robustness analysis of feedback control systems using the root locus method and robustness criteria respectively.
• Formulate the specifications for a feedback control system for a lab-process, then model, construct and verify that system. The work should be documented in writing.

Content

Dynamical systems. The feed-back principle. Differential equations, transfer functions, stability, error constants. PID control, relationships between dynamical properties and pole location. Root locus. Frequency response, Bode diagram, Nyquist diagram, stability analysis using Bode and Nyquist diagrams, phase and ampitude margin. Specifications in the frequency domain, lead-lag compensation, sensitivity and robustness. State space models. State feedback, observers. Implementation.