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.
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© 2009 Birkhäuser Boston
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Krstic, M. (2009). Nonlinear Predictor Feedback. In: Delay Compensation for Nonlinear, Adaptive, and PDE Systems. Systems & Control: Foundations & Applications. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4877-0_10
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DOI: https://doi.org/10.1007/978-0-8176-4877-0_10
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