Constructing a reduced-order controller from a high-dimensional plant is commonly necessary. The 'reduce-then-design' approach constructs the controller from a reduced-order plant; 'design-then-reduce' reduces a full-order controller. In both cases, we present sufficient conditions for the full-order plant and reduced-order controller to achieve closed-loop stability or performance. These conditions, motivated primarily by the \nu-gap metric, reveal model reduction orders that guarantee stability or performance. The control of the linearized Ginzburg-Landau system provides validation.
All Science Journal Classification (ASJC) codes
- Control and Systems Engineering
- Computer Science Applications
- Electrical and Electronic Engineering
- Linear time-invariant (LTI)
- normalized coprime stability margin \nu-gap metric