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Feedback linearization

About: Feedback linearization is a(n) research topic. Over the lifetime, 8654 publication(s) have been published within this topic receiving 163686 citation(s). more


Open accessBook
01 Jan 1985-
Abstract: : The principal goal of this three years research effort was to enhance the research base which would support efforts to systematically control, or take advantage of, dominant nonlinear or distributed parameter effects in the evolution of complex dynamical systems. Such an enhancement is intended to support the development of flight controllers for increasing the high angle of attack or high agility capabilities of existing and future generations of aircraft and missiles. The principal investigating team has succeeded in the development of a systematic methodology for designing feedback control laws solving the problems of asymptotic tracking and disturbance rejection for nonlinear systems with unknown, or uncertain, real parameters. Another successful research project was the development of a systematic feedback design theory for solving the problems of asymptotic tracking and disturbance rejection for linear distributed parameter systems. The technical details which needed to be overcome are discussed more fully in this final report. more

Topics: Nonlinear control (57%), Feedback linearization (55%), Control theory (54%) more

8,498 Citations

Open accessBook
Henk Nijmeijer1, Arjan van der Schaft1Institutions (1)
06 Apr 1990-
Abstract: Contents: Introduction.- Manifolds, Vectorfields, Lie Brackets, Distributions.- Controllability and Observability, Local Decompositions.- Input-Output Representations.- State Space Transformation and Feedback.- Feedback Linearization of Nonlinear Systems.- Controlled Invariant Distribution and the Disturbance Decoupling Problem.- The Input-Output Decoupling Problem: Geometric Considerations.- Local Stability and Stabilization of Nonlinear Systems.- Controlled Invariant Submanifolds and Nonlinear Zero Dynamics.- Mechanical Nonlinear Control Systems.- Controlled Invariance and Decoupling for General Nonlinear Systems.- Discrete-Time Nonlinear Control Systems.- Subject Index. more

Topics: Feedback linearization (63%), Nonlinear control (60%), Nonlinear system (57%) more

2,477 Citations

Open accessBook
22 Jun 1999-
Abstract: 1 Linear vs. Nonlinear.- 2 Planar Dynamical Systems.- 3 Mathematical Background.- 4 Input-Output Analysis.- 5 Lyapunov Stability Theory.- 6 Applications of Lyapunov Theory.- 7 Dynamical Systems and Bifurcations.- 8 Basics of Differential Geometry.- 9 Linearization by State Feedback.- 10 Design Examples Using Linearization.- 11 Geometric Nonlinear Control.- 12 Exterior Differential Systems in Control.- 13 New Vistas: Multi-Agent Hybrid Systems.- References. more

Topics: Linearization (65%), Lyapunov function (64%), Feedback linearization (63%) more

1,827 Citations

Open accessBook
24 Apr 1986-
Abstract: Contents: Local Decompositions of Control Systems.- Global Decompositions of Control Systems.- Input-Output Maps and Realization Theory.- Elementary Theory of Nonlinear Feedback for Single-Input Single-Output Systems.- Elementary Theory of Nonlinear Feedback for Multi-Input Multi-Output Systems.- Geometric Theory of State Feedback: Tools.- Geometric Theory of State Feedback: Applications.- Appendix A.- Appendix B.- Bibliographical Notes.- References.- Subject Index. more

Topics: Nonlinear control (60%), Feedback linearization (57%), Realization (systems) (53%) more

1,614 Citations

Journal ArticleDOI: 10.1016/0167-6911(83)90037-3
Arthur J. Krener1, Alberto IsidoriInstitutions (1)
Abstract: Observers can easily be constructed for those nonlinear systems which can be transformed into a linear system by change of state variables and output injection. Necessary and sufficient conditions for the existence of such a transformation are given. more

Topics: Feedback linearization (61%), Linearization (58%), Linear system (56%) more

1,346 Citations

No. of papers in the topic in previous years

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Topic's top 5 most impactful authors

Ülle Kotta

24 papers, 464 citations

Claude H. Moog

24 papers, 925 citations

Miroslav Krstic

18 papers, 981 citations

Daizhan Cheng

18 papers, 344 citations

Alberto Isidori

18 papers, 815 citations

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