Output-Constrained Control of Nonlinear Systems with Time-Varying Power

Abstract Since many practical systems can be modeled as nonlinear systems with time-varying powers, its control problem is a new issue in control theory research. In this paper the output-constrained control problem for a class of nonlinear systems with time-varying power is studied. Firstly, due to the constraint on system output, we construct not a quadratic Lyapunov function, but a log -type barrier Lyapunov function (BLF). Secondly, by skillfully combining the adding a power integrator technique with the log -type BLF, we can develop an output-constrained controller to ensure the boundedness of closed-loop system signals and the convergence of system states. Finally, by a simulation verify the effectiveness of the controller.