Abstract
We consider the problem of stabilizing an uncertain/nonlinear system when the norm of the control input is bounded by a prespecified constant. We treat continuous-time dynamical systems whose nominal part is linear and whose uncertain/nonlinear part is norm-bounded by a known affine function of the norm of the system state and the norm of the control input. Given a prespecified rate of convergence and a ball containing the origin of the state space, we present controllers which guarantee that, for all allowable uncertainties and nonlinearities, there is a region of attraction from which all solutions converge to the given ball with the prespecified convergence rate.
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References
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© 1994 Springer Science+Business Media New York
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Corless, M., Leitmann, G. (1994). Robust Exponential Convergence with Bounded Controllers. In: Guttalu, R.S. (eds) Mechanics and Control. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-2425-0_3
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DOI: https://doi.org/10.1007/978-1-4615-2425-0_3
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