Abstract
In this chapter, based on a new method through defining new equilibrium points, the relationship criterion among equilibrium points is discussed for linear system with saturated inputs. The asymptotic stability of the origin of the linear system in the presence of a single saturation input is analyzed, and the existence equations of closed trajectory is also considered for the same control systems. Finally, characteristics of commutative matrices of MIMO linear systems are considered. And at the same time, we present the simple criterion equations of asymptotic stability of second-order control systems with single-saturated input when \(ABK=BKA\).
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This work is Supported by National Key Research and Development Program of China (2017YFF0207400).
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Guo, S., Han, L. (2018). Stability and Closed Trajectory for Second-Order Control Systems with Single-Saturated Input. In: Stability and Control of Nonlinear Time-varying Systems. Springer, Singapore. https://doi.org/10.1007/978-981-10-8908-4_3
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DOI: https://doi.org/10.1007/978-981-10-8908-4_3
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