Extended Quadratic Controller Normal Form and Dynamic State Feedback Linearization of Nonlinear Systems

Wei Kang; Arthur J. Krener

doi:10.1137/0330070

Extended Quadratic Controller Normal Form and Dynamic State Feedback Linearization of Nonlinear Systems

SIAM Journal on Control and Optimization ◽

10.1137/0330070 ◽

1992 ◽

Vol 30 (6) ◽

pp. 1319-1337 ◽

Cited By ~ 124

Author(s):

Wei Kang ◽

Arthur J. Krener

Keyword(s):

Nonlinear Systems ◽

Normal Form ◽

Feedback Linearization ◽

State Feedback ◽

Dynamic State

Stabilisation of nonlinear systems by discontinuous dynamic state feedback

Nonlinear control in the year 2000 volume 2 - Lecture Notes in Control and Information Sciences ◽

10.1007/bfb0110293 ◽

2007 ◽

pp. 81-93

Author(s):

Nicolas Marchand ◽

Mazen Alamir ◽

Iyad Balloul

Keyword(s):

Nonlinear Systems ◽

State Feedback ◽

Dynamic State

State Feedback Linearization of Discrete-Time Nonlinear Systems via T-S Fuzzy Model

Journal of Korean institute of intelligent systems ◽

10.5391/jkiis.2009.19.6.865 ◽

2009 ◽

Vol 19 (6) ◽

pp. 865-871

Author(s):

Tae-Kue Kim ◽

Fa-Guang Wang ◽

Seung-Kyu Park ◽

Tae-Sung Yoon ◽

Ho-Kyun Ahn ◽

...

Keyword(s):

Nonlinear Systems ◽

Discrete Time ◽

Feedback Linearization ◽

State Feedback ◽

Fuzzy Model

Static and dynamic state feedback linearization

Nonlinear Systems ◽

10.1007/978-1-4615-6395-2_5 ◽

1997 ◽

pp. 93-126 ◽

Cited By ~ 1

Author(s):

J. Lévine

Keyword(s):

Feedback Linearization ◽

State Feedback ◽

Dynamic State

Semi-global stabilization of minimum phase nonlinear systems in special normal form via linear high-and-low-gain state feedback

[1992] Proceedings of the 31st IEEE Conference on Decision and Control ◽

10.1109/cdc.1992.371080 ◽

2005 ◽

Cited By ~ 1

Author(s):

Z. Lin ◽

A. Saberi

Keyword(s):

Nonlinear Systems ◽

Normal Form ◽

State Feedback ◽

Global Stabilization ◽

Minimum Phase

Sufficient Conditions for Dynamic State Feedback Linearization

SIAM Journal on Control and Optimization ◽

10.1137/0329002 ◽

1991 ◽

Vol 29 (1) ◽

pp. 38-57 ◽

Cited By ~ 138

Author(s):

B. Charlet ◽

J. Lévine ◽

R. Marino

Keyword(s):

Feedback Linearization ◽

State Feedback ◽

Sufficient Conditions ◽

Dynamic State

Equivalence of nonlinear systems under dynamic state feedback

[1991] Proceedings of the 30th IEEE Conference on Decision and Control ◽

10.1109/cdc.1991.261330 ◽

2002 ◽

Cited By ~ 1

Author(s):

M.D. Di Benedetto ◽

A. Glumineau ◽

C.H. Moog

Keyword(s):

Nonlinear Systems ◽

State Feedback ◽

Dynamic State

Semi-global stabilization of minimum phase nonlinear systems in special normal form via linear high-and-low-gain state feedback

International Journal of Robust and Nonlinear Control ◽

10.1002/rnc.4590040303 ◽

1994 ◽

Vol 4 (3) ◽

pp. 353-362 ◽

Cited By ~ 10

Author(s):

Zongli Lin ◽

Ali Saberi

Keyword(s):

Nonlinear Systems ◽

Normal Form ◽

State Feedback ◽

Global Stabilization ◽

Minimum Phase

Singularity in dynamic state feedback linearization

Proceedings of the 36th IEEE Conference on Decision and Control ◽

10.1109/cdc.1997.650580 ◽

2002 ◽

Cited By ~ 1

Author(s):

T. Baumann ◽

B. Srinivasan ◽

R. Longchamp

Keyword(s):

Feedback Linearization ◽

State Feedback ◽

Dynamic State

Nonsmooth control of time-delay nonlinear systems by dynamic state feedback

2015 54th IEEE Conference on Decision and Control (CDC) ◽

10.1109/cdc.2015.7403439 ◽

2015 ◽

Cited By ~ 3

Author(s):

Xu Zhang ◽

Wei Lin ◽

Yan Lin

Keyword(s):

Time Delay ◽

Nonlinear Systems ◽

State Feedback ◽

Dynamic State

Robustness analysis of nonlinear systems subject to state feedback linearization

Sba Controle & Automação Sociedade Brasileira de Automatica ◽

10.1590/s0103-17592009000400003 ◽

2009 ◽

Vol 20 (4) ◽

pp. 482-489 ◽

Cited By ~ 7

Author(s):

Eduardo Rath Rohr ◽

Luís Fernando Alves Pereira ◽

Daniel Ferreira Coutinho

Keyword(s):

Nonlinear Systems ◽

Feedback Linearization ◽

State Feedback ◽

Robustness Analysis ◽

Linear Matrix ◽

Single Input Single Output ◽

Single Output ◽

Robust Stability Analysis ◽

Single Input ◽

The Stability

This paper presents a methodology to the robust stability analysis of a class of single-input/single-output nonlinear systems subject to state feedback linearization. The proposed approach allows the analysis of systems whose nonlinearities can be represented in the rational (and polynomial) form. Through a suitable system representation, the stability conditions are described in terms of linear matrix inequalities, which is known to have a convex (numerical) solution. The method is illustrated via a numerical example.