Lyapunov redesign
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.
