Honestly, I wish folks would stop recommending PID as the go-to tool for control design. Like some others have said, it is never the right answer in any non-trivial system. The problem with newcomers blindly incorporating it into their design for quick satisfaction is that they have just done so at the expense of making someone else's job harder down the line. In a system where many things are interconnected or nested, introducing artificial dynamics via feedback in one part often leads to unpredictable and undesired behaviour in another. Then the next junior engineer comes along and thinks the weird behaviour can be solved with more PID loops, repeating the process until you end up with a un-tuneable mess with a precariously narrow operating region.
If you are working in this field, no you don't need a PhD, but for the love of god invest some time into learning more appropriate techniques for the work. Start with learning to work with MIMO systems in state-space, then learn to use LQR (literally a one-liner in MATLAB) and reduced-order observers, then some nonlinear techniques like Lyapunov functions and integrator backstepping for those tricky nested loops. I'm happy to suggest resources for anyone interested.
> Start with learning to work with MIMO systems in state-space, then learn to use LQR (literally a one-liner in MATLAB) and reduced-order observers, then some nonlinear techniques like Lyapunov functions and integrator backstepping for those tricky nested loops
In my experience, there are a lot of applications that are "trivial" enough that PID works fine. I'm reasonably comfortable with state space modeling for systems with more variables. But
OK, I'll bite - always open to picking up something new. What resources would you suggest for someone who wants to learn more about nonlinear controls?
Without knowing any specifics I would say the most universally useful tool to have in your nonlinear controls belt is Lyapunov control design and its extensions (if you're familiar with Lyapunov equations in linear systems that's where the connection starts). It leads to useful methods that are applicable to many systems, and allows you to handle some particularly tricky situations. Wikipedia's articles on these topics are surprisingly decent:
https://en.wikipedia.org/wiki/Control-Lyapunov_functionhttps://en.wikipedia.org/wiki/Backstepping
as well as Stanford's lecture notes:
https://web.stanford.edu/class/ee363/lectures/lyap.pdf
Check out Robust Nonlinear Control Design by Freeman and Kokotovic for more on this.
Compared to linear control theory, nonlinear controls is much more fractured and domain-specific. No concept is as widely applicable as ones from linear controls. Khalil's Nonlinear Systems book is generally considered a top reference, but it does start to get into the PhD-level stuff and I don't recommend it to a non-specialist unless you are really into this stuff. I can give more specific recommendations if you have a particular industry or application in mind.
If you are working in this field, no you don't need a PhD, but for the love of god invest some time into learning more appropriate techniques for the work. Start with learning to work with MIMO systems in state-space, then learn to use LQR (literally a one-liner in MATLAB) and reduced-order observers, then some nonlinear techniques like Lyapunov functions and integrator backstepping for those tricky nested loops. I'm happy to suggest resources for anyone interested.