Low-Gain Feedback via Parametric Riccati Equations
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  and , respectively. An approach to the low-gain feedback law has been developed in  and . An alternative approach based on solutions of a parametric Lyapunov equation to the low-gain feedback law has been proposed in  and . In , 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.