Course overview
This course will build the students' foundation in linear control theory, and develop their skills in model-based analysis and design of controllers with the use of industry-standard tools. This includes: Mathematical modeling of the dynamics of linear electrical and mechanical systems in time domain (differential equations, state-space equations) and frequency domain (Laplace transform, z-transform, frequency response) -- both analytical and empirical. Analysis of linear time-invariant systems in terms of their stability, transient response, and steady-state response. Model-based design of proportional-integral-derivative (PID) controllers and lag-lead compensators in simple to advanced feedback configurations using classical control methods, e.g., root locus. Model-based design of state-feedback controllers by pole placement. Multidomain modeling and simulation, control system design and analysis using industry-standard tools. Case studies on electromechanical systems including those exhibiting vibrations, e.g., active suspension systems.
Course learning outcomes
- Model simple electrical and mechanical systems analytically and empirically. (PLO 1, 4, 5) (EA 1.1-1.3, 2.1-2.3)
- Analyse the stability, transient response and steady-state error of a linear time-invariant system, whether it is a simple feedback loop or a more complex configuration. (PLO 1, 4, 5) (EA 1.1-1.3, 2.1-2.3)
- Design controllers using root locus and pole placement. (PLO 1, 4, 5) (EA 1.1-1.3, 2.1-2.3)
- Fine-tune and troubleshoot a PID controller based on a clear understanding of the proportional, integral and derivative actions of a PID controller. (PLO 1, 4, 5) (EA 1.1-1.3, 2.1-2.3)
- Perform multidomain modeling and simulation, control system design and analysis using industry-standard tools. (PLO 1, 2, 4, 5) (EA 1.1-1.4, 2.1-2.3, 3.4)
- Discuss the mathematical theory and recent trends in control. (PLO 1, 2, 7, 9) (EA 1.1-1.5, 3.2, 3.4)