词条 | Strict-feedback form |
释义 |
In control theory, dynamical systems are in strict-feedback form when they can be expressed as where
Here, strict feedback refers to the fact that the nonlinear functions and in the equation only depend on states that are fed back to that subsystem.[1] That is, the system has a kind of lower triangular form. Stabilization{{main|Backstepping}} Systems in strict-feedback form can be stabilized by recursive application of backstepping.[1] That is,
This process is known as backstepping because it starts with the requirements on some internal subsystem for stability and progressively steps back out of the system, maintaining stability at each step. Because
then the resulting system has an equilibrium at the origin (i.e., where , , , ... , , and ) that is globally asymptotically stable. See also
References1. ^1 {{cite book | last = Khalil | first = Hassan K. | authorlink = Hassan K. Khalil | year = 2002 | edition = 3rd | url = http://www.egr.msu.edu/~khalil/NonlinearSystems/ | isbn = 0-13-067389-7 | title = Nonlinear Systems | publisher = Prentice Hall | location = Upper Saddle River, NJ}} 1 : Nonlinear control |
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