Abstract
Currently, three methods are used to construct low-gain feedback laws, i.e., an eigenstructure assignment approach, a parametric Riccati equation -based approach, and a parametric Lyapunov equation-based approach. According to eigenstructure assignment algorithms, exponential feedback gains have been constructed for continuous-time and discrete-time systems in [75] and [76], respectively. An approach to the low-gain feedback law has been developed in [77] and [131]. An alternative approach based on solutions of a parametric Lyapunov equation to the low-gain feedback law has been proposed in [198] and [202]. In [176], a semi-global leader-following consensus problem has been investigated for multi-agent systems in the presence of both position saturation and bounded rate disturbances.
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Yang, H., Xia, Y., Geng, Q. (2019). Low-Gain Feedback via Parametric Riccati Equations. 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_13
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DOI: https://doi.org/10.1007/978-981-13-3660-7_13
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