A unified Lyapunov characterization for finite time control and prescribed time control
Yongduan Song, Jie Su
Abstract
Abstract This work presents a novel approach to unifying finite time control and prescribed time control. The main idea is to establish a new Lyapunov differential inequality that allows finite time and prescribed time stability to be addressed uniformly. It is shown that the derived control algorithm is able to achieve prescribed time convergence with bounded control gain and bounded control action, completely solving for the first time the long‐lasting issue of infinite gain associated with current notion of prescribed time control. Numerical simulations also confirmed the effectiveness of the developed approach.
Topics & Concepts
Bounded functionConvergence (economics)Control theory (sociology)Lyapunov functionMathematicsControl (management)Stability (learning theory)Lyapunov stabilityApplied mathematicsComputer scienceMathematical optimizationNonlinear systemMathematical analysisPhysicsQuantum mechanicsEconomicsEconomic growthArtificial intelligenceMachine learningAdaptive Control of Nonlinear SystemsStability and Control of Uncertain SystemsAdvanced Control Systems Optimization