학술논문

Adaptive Control of Feedback Linearizable Systems with Finite-time Convergence
Document Type
Conference
Source
2022 Australian & New Zealand Control Conference (ANZCC) Control Conference (ANZCC), 2022 Australian & New Zealand. :75-80 Nov, 2022
Subject
Aerospace
Bioengineering
Communication, Networking and Broadcast Technologies
Computing and Processing
General Topics for Engineers
Power, Energy and Industry Applications
Robotics and Control Systems
Signal Processing and Analysis
Transportation
Transient response
Uncertainty
Estimation
Observers
Manipulators
Feedback linearization
Nonlinear dynamical systems
Adaptive control
Excitation condition
Nonlinear system
Parameter estimation
Language
ISSN
2767-7257
Abstract
Adaptive control enables the online adjustment of system parameters that are subject to variations and uncertainties to achieve the desired level of performance. The feedback linearization combines an appropriate transformation with a proper control law to linearize the input-output nonlinear system dynamics (NSD). Substantial parametric variations result in the improper cancellation of nonlinear terms in the control law, resulting in an erroneous linear plant. A comprehensive framework of adaptive control is thus proposed using Dynamic Regression Extension and Mixing (DREM) without any prior knowledge of the system’s parameters, simplifications, and assumptions. The proposed DREM-based MRAC and feedback linearization scheme demonstrates the global parameter convergence with improved transient response under a condition strictly weaker than the Persistence of Excitation (PE) of the regressor. Furthermore, in adaptive control, the system states are estimated using the High gain Observer (HGO), and the issues associated with HGO are resolved by the LMI observer. The usefulness of the proposed methodology is validated using MATLAB/simulation on a joint manipulator.