A Continuous Multivariable Finite-Time Control Scheme for Double Integrator Systems With Bounded Control Input
Bailing Tian, Zhiyu Li, Qun Zong
Abstract
A multivariable finite-time control algorithm is proposed for double integrator systems with matched disturbances. The remarkable feature of the developed method is to ensure the finite-time stability of the closed-loop system with uniformly bounded control signal with respect to arbitrary initial conditions. The convergence criteria are derived by using the Lyapunov-based techniques, and the upper bound of the control signal can be calculated based on the obtained criteria. Finally, the effectiveness of the proposed algorithm is confirmed by some numerical simulations.
Topics & Concepts
Multivariable calculusControl theory (sociology)IntegratorConvergence (economics)Bounded functionMathematicsSIGNAL (programming language)Double integratorUpper and lower boundsLyapunov functionStability (learning theory)Control systemUniform boundednessComputer scienceControl (management)EngineeringNonlinear systemControl engineeringMathematical analysisEconomic growthComputer networkBandwidth (computing)Artificial intelligenceProgramming languageElectrical engineeringMachine learningQuantum mechanicsPhysicsEconomicsAdaptive Control of Nonlinear SystemsStability and Controllability of Differential EquationsAdvanced Control Systems Design