Finite-Time Stabilization and Energy Consumption Estimation for Delayed Nonlinear Systems
Song Zhu, Chongyang Chen, Chunyu Yang, Jun Fu, Zhigang Zeng
Abstract
This article concentrates on finite-time stabilization and energy consumption estimation for nonlinear systems with and without delay. By constructing an appropriate controller and utilizing inequality techniques, sufficient conditions are proposed to guarantee the finite-time stability of the delayed nonlinear system. Furthermore, the energy consumption produced in system controlling is estimated by inequality techniques. Then, we formulate similar results for the delay-free case. Finally, numerical examples are presented to demonstrate the effectiveness of our theoretical results.
Topics & Concepts
Nonlinear systemEnergy consumptionControl theory (sociology)Controller (irrigation)Energy (signal processing)Stability (learning theory)Computer scienceConsumption (sociology)EstimationMathematical optimizationMathematicsControl (management)EngineeringPhysicsBiologyAgronomyStatisticsElectrical engineeringArtificial intelligenceQuantum mechanicsSociologySystems engineeringMachine learningSocial scienceStability and Control of Uncertain SystemsAdaptive Control of Nonlinear SystemsControl and Stability of Dynamical Systems