Computing stabilising output-feedback gains for continuous-time linear time-varying systems through discrete-time periodic models

Sliding Mode Control of the Vehicle Speed System Based on LMIs

“…In order to improve the accuracy of the system, some scholars have studied different control methods to control different systems. A methodology for the synthesis of time-varying static output-feedback gains, capable of stabilising continuous-time linear time-varying systems, was proposed in [22]. In [23], the state feedback nonlinear model predictive control law was approximated offline by the smooth function of the state.…”

Finite‐time bounded stabilisation for linear systems with finite‐time H 2 ‐gain constraint

“…In [24, 25], both the state and output stability of discrete systems based on a Lyapunov‐like function are discussed, and the control design method for synthesising and stabilising the system state is deduced. In [26], a feedback controller design method based on the discrete‐time periodic model is proposed for the FTS of the system state. In [27], new linear matrix inequality (LMI) conditions to the observer‐based control design problem for the periodic discrete‐time system are derived, which replaces the traditional Lyapunov‐based method.…”