scispace - formally typeset
Journal ArticleDOI

Nonlinear network structures for feedback control

Frank L. Lewis
- 22 Oct 2008 - 
- Vol. 1, Iss: 4, pp 205-228
TLDR
A framework is given for controller design using Nonlinear Network Structures, which include both neural networks and fuzzy logic systems, and extensions are discussed to force control, backstepping control, and output feedback control, where dynamic nonlinear nets are required.
Abstract
A framework is given for controller design using Nonlinear Network Structures, which include both neural networks and fuzzy logic systems. These structures possess a universal approximation property that allows them to be used in feedback control of unknown systems without requirements for linearity in the system parameters or finding a regression matrix. Nonlinear nets can be linear or nonlinear in the tunable weight parameters. In the latter case weight tuning algorithms are not straightforward to obtain. Feedback control topologies and weight tuning algorithms are given here that guarantee closed-loop stability and bounded weights. Extensions are discussed to force control, backstepping control, and output feedback control, where dynamic nonlinear nets are required.

read more

Citations
More filters
Journal ArticleDOI

Adaptive output feedback control of nonlinear systems using neural networks

TL;DR: A direct adaptive output feedback control design procedure is developed for highly uncertain nonlinear systems, that does not rely on state estimation, and extends the universal function approximation property of linearly parameterized neural networks to model unknown system dynamics from input/output data.
Journal ArticleDOI

Adaptive Trajectory Control for Autonomous Helicopters

TL;DR: In this paper, pseudocontrol hedging (PCH) was used to protect the adaptation process from actuator limits and dynamics, thus, minimizing the effects of model error in all six degrees of freedom and leading to more accurate position tracking.
Proceedings ArticleDOI

Concurrent learning for convergence in adaptive control without persistency of excitation

TL;DR: It is shown that for an adaptive controller that uses recorded and instantaneous data concurrently for adaptation, a verifiable condition on linear independence of the recorded data is sufficient to guarantee exponential tracking error and parameter error convergence.
Journal ArticleDOI

Asymptotic Tracking for Uncertain Dynamic Systems Via a Multilayer Neural Network Feedforward and RISE Feedback Control Structure

TL;DR: How a recently developed continuous robust integral of the sign of the error (RISE) feedback term can be incorporated with a NN-based feedforward term to achieve semi-global asymptotic tracking is described.
Journal ArticleDOI

Limited authority adaptive flight control for reusable launch vehicles

TL;DR: In this article, a method is introduced that allows an adaptive law to be designed for the system without these input characteristics and then to be applied to the system with these characteristics, without affecting adaptation.
References
More filters
Journal ArticleDOI

Multilayer feedforward networks are universal approximators

TL;DR: It is rigorously established that standard multilayer feedforward networks with as few as one hidden layer using arbitrary squashing functions are capable of approximating any Borel measurable function from one finite dimensional space to another to any desired degree of accuracy, provided sufficiently many hidden units are available.
Book

Applied Nonlinear Control

TL;DR: Covers in a progressive fashion a number of analysis tools and design techniques directly applicable to nonlinear control problems in high performance systems (in aerospace, robotics and automotive areas).
Book

Adaptive Control

TL;DR: Benefiting from the feedback of users who are familiar with the first edition, the material has been reorganized and rewritten, giving a more balanced and teachable presentation of fundamentals and applications.
Book

Adaptive filtering prediction and control

TL;DR: This unified survey focuses on linear discrete-time systems and explores the natural extensions to nonlinear systems and summarizes the theoretical and practical aspects of a large class of adaptive algorithms.
Book

Robot dynamics and control

Mark W. Spong
TL;DR: This self-contained introduction to practical robot kinematics and dynamics includes a comprehensive treatment of robot control, providing background material on terminology and linear transformations and examples illustrating all aspects of the theory and problems.
Related Papers (5)