# Lyapunov redesign

Jump to navigation
Jump to search

In nonlinear control, the technique of *Lyapunov redesign* refers to the design where a stabilizing state feedback controller can be constructed with knowledge of the Lyapunov function . Consider the system

where is the state vector and is the vector of inputs. The functions , , and are defined for , where is a domain that contains the origin. A nominal model for this system can be written as

and the control law

stabilizes the system. The design of is called *Lyapunov redesign*.

## Further reading

- {{#invoke:citation/CS1|citation

|CitationClass=book }}