Lyapunov redesign

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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

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