- 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 theLyapunov function V. Consider the system:dot{x} = f(t,x)+G(t,x) [u+delta(t, x, u)]
where x in R^n is the state vector and u in R^p is the vector of inputs. The functions f, G, and delta are defined for t, x, u) in [0, inf) imes D imes R^p, where D subset R^n is a domain that contains the origin. A nominal model for this system can be written as
:dot{x} = f(t,x)+G(t,x)u
and the control law
:u = phi(t, x)+v
stabilizes the system. The design of v is called "Lyapunov redesign".
References
* H. K. Khalil, "Nonlinear Systems," third edition, Prentice Hall, Upper Saddle River, New Jersey, 2002.
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