Abstract
The problem on semi-globally stabilization has been addressed on a null controllable region for a linear system with saturating actuators [20]. A technique for estimating the DoA has been proposed for discrete-time and continuous-time systems subject to actuator saturation [47]. Semi-global stabilization has been shown to design a feedback law such that the DoA includes a priori given subset on the null controllable region [128]. A stabilizing feedback law has been constructed for semi-global stabilization of the DoA with actuator saturation [73]. It is well known that asymptotic null controllability with bounded controls is equivalent to a usual notion of linear stability plus an added condition that open-loop eigenvalues have nonpositive real parts.
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Yang, H., Xia, Y., Geng, Q. (2019). Semi-global Stabilization with Regional Performance. In: Analysis and Synthesis of Delta Operator Systems with Actuator Saturation. Studies in Systems, Decision and Control, vol 193. Springer, Singapore. https://doi.org/10.1007/978-981-13-3660-7_10
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DOI: https://doi.org/10.1007/978-981-13-3660-7_10
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