Robust Adaptive Control of Feedback Linearizable MIMO Nonlinear Systems With Prescribed Performance

By Charalampos P. Bechlioulis, George A. Rovithakis. IEEE Transactions on Automatic Control, 2008

2,246 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/361381b985ef096b4523d1b41e88ce8d12994741

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

In Control and Systems Engineering

Citations in the corpus

Platoon Formation Control With Prescribed Performance Guarantees for USVs (2018, methodology): “Inspired by the hyperbolic-tangent-type function [15], [22], we could take the error transformation function Tji(·) as”
Adaptive Prescribed Performance Motion Control of Servo Mechanisms with Friction Compensation (2014, background): “In (5) and (6), we know that δμ0 defines the upper bound of the maximum overshoot and −δμ0 defines the lower bound of the undershoot, the decreasing rate κ introduces a lower bound on the convergence speed, and μ∞ denotes the allowable steady-state tracking error [22].”
A low-complexity global approximation-free control scheme with prescribed performance for unknown pure feedback systems (2014, methodology): “Working independently, Bechlioulis and Rovithakis proposed an alternative approach, named Prescribed Performance Control (PPC), to succeed the same control objective. Utilizing a transformation function that incorporates the desirable performance characteristics, PPC suggests transforming the origin”
Adaptive Fuzzy Tracking Control Design for SISO Uncertain Nonstrict Feedback Nonlinear Systems (2016, methodology): “In order to achieve a prespecified error, we can employ two effective methods to improve the proposed controllers: one is Barrier Lyapunov function method [37], [38], and the other is prescribed performance method [39], [40].”
Adaptive Neural Network Control of a Robotic Manipulator With Time-Varying Output Constraints (2017, methodology): “[46], [47] utilized approximation based robust adaptive control via NNs to guarantee the prescribed performance of the MIMO nonlinear systems and single-input and single-output (SISO) strict feedback systems, respectively.”
Adaptive output-feedback control design with prescribed performance for switched nonlinear systems (2017, background): “…closed-loop systems can be guaranteed, and the tracking errors can be confined to a small residual set, while the size of the residual sets is often unknown, and the transient and/or steadystate performance cannot be prescribed (Bechlioulis & Rovithakis, 2008; Benchlioulis & Rovithakis, 2009).”
Boundary Control of a Flexible Robotic Manipulator With Output Constraints (2017, background): “3 Performance function To achieve the second objective, a performance function is selected, where a smooth function λ ∶ R+ → R+, originally appeared in [29], will be called a performance function if:”
Fuzzy Adaptive Output Feedback Control of MIMO Nonlinear Systems With Partial Tracking Errors Constrained (2015, methodology): “Another design solution called the error transformation method was proposed in [25] and [26] for a class of feedback linearization nonlinear systems.”
Prescribed Performance Adaptive Control for Multi-Input Multi-Output Affine in the Control Nonlinear Systems (2010, methodology): “For comparison purposes, we consider the planar two-link robotic manipulator described in [10] with the same parameters and initial conditions.”
Prescribed-Time Control and Its Latest Developments (2022, neutral): “In addition, some other studies consider the practical PT tracking control (see [113]), whose basic idea is to introduce a smooth function that can converge to a given value at the prescribed time, and to convert the original constrained system into an unconstrained one by using the idea of coordina”
Leader–Follower Formation Control of USVs With Prescribed Performance and Collision Avoidance (2019, methodology): “Based on the dynamic surface control (DSC) technique [27]–[29], the PPC methodology [21], adaptive control techniques [30]–[32], neural network (NN) approximators [33]– [37], the backstepping procedure, and the Lyapunov synthesis, we propose decentralized leader–follower formation control that guara”
On rolling contact motion by robotic fingers via prescribed performance control (2013, methodology): “The method to be discussed is based on the prescribed performance control methodology initially proposed in [8] which allows the incorporation of time dependent inequality constraints in the control objective via the introduction of a transformed error.”
A DSC Approach to Robust Adaptive NN Tracking Control for Strict-Feedback Nonlinear Systems (2008, background): “Note that this phenomenon is very common in the universal approximator-based adaptive control schemes, such as in [13], [15], [17], [21]–[24], [27], and so on.”
Prescribed Performance Fault-Tolerant Control of Uncertain Nonlinear Systems With Unknown Control Directions (2017, methodology): “Unfortunately, it cannot be derived through the existing approaches [11]–[13], [17]–[19].”