A state‐dependent switching controller design approach for linear systems under control constraints

In the present work, a state-dependent switching controller design approach for controlled systems under control constraints is proposed. First, system with gain parameters converted into single-degree-of-freedom vibration by using an invertible transform. Second, based on physical significance of linear systems, two pairs are properly chosen to obtain subsystems sufficiently small equivalent negative-damping coefficients and large stiffness coefficient difference. Third, introducing identical transform, form simultaneously. As such, it reasonable compare corresponding energy functions directly. Fourth, lines maximum minimum ratio between derived construct law. Combining selected parameters, then designed stabilizing original constraints. end, effectiveness robustness developed illustrated three numerical examples.