Some new results on closed-loop stability in the presence of control saturation
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Some new sufficient conditions for determining global asymptotic stability of an equilibrium point under control saturation are presented. For an open-loop stable system, we show that there exists a class of linear time invariant state feedback matrices which globally stablizes an equilibrium under control saturation. In addition, we show that for open-loop unstable plants, an equilibrium can never be globally stabilized using a certain class of saturated linear time invariant state feedback. Finally, we extend the stability results to nonlinear systems whose nonlinearities are globally Lipschitz.
[1] H. Horisberger,et al. Regulators for linear, time invariant plants with uncertain parameters , 1976 .
[2] Charles R. Johnson,et al. Matrix analysis , 1985, Statistical Inference for Engineers and Data Scientists.
[3] Stephen P. Boyd,et al. Structured and Simultaneous Lyapunov Functions for System Stability Problems , 1989 .
[4] Eduardo Sontag,et al. Nonlinear output feedback design for linear systems with saturating controls , 1990, 29th IEEE Conference on Decision and Control.