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Adaptive Fixed-Time Tracking Control for Nonlinear Systems Based on Finite-Time Command-Filtered Backstepping

Ming Chen, LI Ying-sen, Huanqing Wang, Kaixiang Peng, Li‐Bing Wu

2022IEEE Transactions on Fuzzy Systems70 citationsDOI

Abstract

This article takes into account the problem of adaptive fixed-time control for nonlinear systems in a strict form via finite-time command-filtered backstepping. Our presented control scheme gives consideration to rapidity by using fixed-time control and finite-time command filter, and its prime control objective is to ensure that the system output can be guided from any initial conditions to go after an ideal variable. Meanwhile, this control strategy makes sure that all the system states and other signals are bounded at finite time, and its convergence time does not have any connection with the system initial conditions and is determined by the design parameters. At every step in the design process, a fuzzy logic system is introduced to approximate the unknown part, and a finite-time command filter is also utilized so as to avoid the issue of derivation of virtual control laws and complex calculation. At last, we verify that the presented scheme is viable through a simulation example.

Topics & Concepts

BacksteppingControl theory (sociology)Convergence (economics)Nonlinear systemBounded functionFilter (signal processing)Adaptive controlComputer scienceMathematicsController (irrigation)Process (computing)Control (management)EconomicsPhysicsOperating systemArtificial intelligenceAgronomyQuantum mechanicsComputer visionMathematical analysisEconomic growthBiologyAdaptive Control of Nonlinear SystemsAdaptive Dynamic Programming ControlControl and Dynamics of Mobile Robots
Adaptive Fixed-Time Tracking Control for Nonlinear Systems Based on Finite-Time Command-Filtered Backstepping | Litcius