Control Theory, from transfer functions to state-space
Stability, frequency response, state-space methods and feedback design — one-to-one and online, for engineering and applied maths degrees.
What this covers in detail
Transfer functions & stability
Laplace transforms, block diagrams, poles and zeros, Routh–Hurwitz, root locus, Bode and Nyquist plots, gain and phase margins.
State-space methods
State-space models, controllability and observability, pole placement, observers and an introduction to LQR.
Feedback & PID design
Steady-state error, PID tuning, lead–lag compensation and designing a controller to a specification.
Control Theory brings together Laplace transforms, linear algebra and differential equations at once — and a gap in any one of them shows up as a control problem that will not come out. These lessons fix the maths underneath and then build the control ideas on top of it.
What this covers
The maths underneath, fixed first
Laplace transforms, eigenvalues and ODEs are reviewed as they come up, so the control step is the only new thing on the page.
See the system respond
Step responses, root loci and Bode plots drawn by hand and checked in MATLAB/Simulink or Python.
Design to a specification
Exams ask you to meet an overshoot or settling-time target. That design loop is practised until it is routine.
Pricing
Choose the support that fits.
One-to-one tutoring, from a single session to consistent weekly progress.
Your first 30 minutes are free.
Start with a free 30-minute assessment. We will understand what the student needs and recommend the right plan.
Every plan includes live one-to-one lessons.
The Noktua practice platform is free with every account — even if you have not booked a lesson yet.
Lessons at the student's home carry an extra charge of €10/hour.
Common questions
Which courses is this for?
Control and systems modules in electrical, mechanical, aerospace and chemical engineering, and in applied maths degrees.
Do you use MATLAB?
Yes, or Python (python-control), whichever your course uses — alongside hand calculation, which is what the exam will ask for.
Book your free 30-minute assessment
Tell us the year group and where it is going wrong. You will have a reply within 24 hours with a time.
Not ready to book? Create a free account and try the practice platform.