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Nonlinear Predictor Feedback

  • Miroslav Krstic
Chapter
Part of the Systems & Control: Foundations & Applications book series (SCFA)

Abstract

The difference between the two categories of systems is that those in category 1 will lend themselves to global stabilization by predictor feedback in the presence of an arbitrarily long delay, whereas systems in category 2 may suffer finite escape before the control “kicks in” at t=D and for this reason are not globally stabilizable (the achievable region of attraction will depend on D).

The system category 2 is clear–it includes many systems that have high-growth nonlinearities and where the control must act aggressively to prevent explosive instability. Such systems have been studied using the nonlinear “backstepping” design [112] for strict-feedback systems and other approaches.

Keywords

Exponential Stability Nonlinear Integral Equation Nonlinear Control System Escape Time Volterra Series 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Boston 2009

Authors and Affiliations

  1. 1.Department of Mechanical and Aerospace EngineeringUniversity of CaliforniaSan Diego, La JollaUSA

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