Control of Uncertain Nonlinear Systems

Martin Corless

doi:10.1115/1.2899076

Control of Uncertain Nonlinear Systems

Journal of Dynamic Systems Measurement and Control ◽

10.1115/1.2899076 ◽

1993 ◽

Vol 115 (2B) ◽

pp. 362-372 ◽

Cited By ~ 106

Author(s):

Martin Corless

Keyword(s):

Nonlinear Systems ◽

Theoretical Approach ◽

Uncertain Systems ◽

Lyapunov Theory ◽

Uncertain Nonlinear Systems ◽

Aerospace Systems ◽

Nonlinear Uncertain Systems ◽

And Control

This paper describes some of my research in the analysis and control of nonlinear uncertain systems in which the uncertainties are modeled deterministically rather than stochastically. The main applications are to mechanical/aerospace systems, such as robots and spacecraft; the underlying theoretical approach is based on Lyapunov theory.

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ℒ2-Gain analysis and control of uncertain nonlinear systems with bounded disturbance inputs

International Journal of Robust and Nonlinear Control ◽

10.1002/rnc.1207 ◽

2007 ◽

Vol 18 (1) ◽

pp. 88-110 ◽

Cited By ~ 49

Author(s):

D.F. Coutinho ◽

M. Fu ◽

A. Trofino ◽

P. Danès

Keyword(s):

Nonlinear Systems ◽

Uncertain Nonlinear Systems ◽

And Control ◽

Bounded Disturbance

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Finite Horizon Backward Reachability Analysis and Control Synthesis for Uncertain Nonlinear Systems

2019 American Control Conference (ACC) ◽

10.23919/acc.2019.8814444 ◽

2019 ◽

Author(s):

He Yin ◽

Andrew Packard ◽

Murat Arcak ◽

Peter Seiler

Keyword(s):

Nonlinear Systems ◽

Reachability Analysis ◽

Finite Horizon ◽

Control Synthesis ◽

Uncertain Nonlinear Systems ◽

And Control

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Modeling and Control of Uncertain Nonlinear Systems with Fuzzy Equations and Z‐Number

10.1002/9781119491514 ◽

2019 ◽

Cited By ~ 7

Author(s):

Wen Yu ◽

Raheleh Jafari

Keyword(s):

Nonlinear Systems ◽

Uncertain Nonlinear Systems ◽

Modeling And Control ◽

And Control ◽

Fuzzy Equations

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Analysis and control of polytopic uncertain/nonlinear systems in the presence of bounded disturbance inputs

Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334) ◽

10.1109/acc.2000.878804 ◽

2000 ◽

Cited By ~ 11

Author(s):

T. Pancake ◽

M. Corless ◽

M. Brockman

Keyword(s):

Nonlinear Systems ◽

Uncertain Nonlinear Systems ◽

And Control ◽

Bounded Disturbance

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Neural identification and control of uncertain nonlinear systems with time delay

Proceedings of 35th IEEE Conference on Decision and Control ◽

10.1109/cdc.1996.577242 ◽

2002 ◽

Cited By ~ 1

Author(s):

Yiguang Hong ◽

Xuemei Ren ◽

Huashu Qin

Keyword(s):

Time Delay ◽

Nonlinear Systems ◽

Uncertain Nonlinear Systems ◽

And Control

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Intelligent Adaptive Learning and Control for Discrete-Time Nonlinear Uncertain Systems In Multiple Environments

Neurocomputing ◽

10.1016/j.neucom.2021.07.046 ◽

2021 ◽

Author(s):

Jingting Zhang ◽

Chengzhi Yuan ◽

Cong Wang ◽

Wei Zeng ◽

Shi-Lu Dai

Keyword(s):

Discrete Time ◽

Adaptive Learning ◽

Uncertain Systems ◽

Nonlinear Uncertain Systems ◽

Multiple Environments ◽

And Control

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Adaptive fuzzy modelling and control for discrete-time nonlinear uncertain systems

Proceedings of the 2005, American Control Conference, 2005. ◽

10.1109/acc.2005.1470109 ◽

2005 ◽

Cited By ~ 7

Author(s):

Ruiyun Qi ◽

M.A. Brdys

Keyword(s):

Discrete Time ◽

Uncertain Systems ◽

Fuzzy Modelling ◽

Adaptive Fuzzy ◽

Nonlinear Uncertain Systems ◽

And Control

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Robust sliding mode control of uncertain nonlinear systems with chattering alleviating scheme

International Journal of Modern Physics B ◽

10.1142/s0217979221400427 ◽

2021 ◽

pp. 2140042

Author(s):

Bhausaheb B. Musmade ◽

Balasaheb M. Patre

Keyword(s):

Nonlinear Systems ◽

Sliding Mode Control ◽

Uncertain Systems ◽

Sliding Mode ◽

External Disturbance ◽

Uncertain Nonlinear Systems ◽

Model Uncertainties ◽

External Disturbances ◽

Controlled System ◽

Mode Control

In this paper, a class of uncertain nonlinear systems is investigated and a sliding mode control (SMC) design is presented. The method is proposed for uncertain systems with model uncertainties, nonlinear dynamics and external disturbances. Using nominal system and related bounds of uncertainties, a chattering alleviating scheme is also proposed, which can ensure the robust SMC law. The performance and the significance of the controlled system are investigated under variation in system parameters and also in presence of an external disturbance. The simulation results indicate that performance of the proposed controller is effective compared to the existing controllers.

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Modeling and Control of Uncertain Nonlinear Systems

2018 International Conference on Intelligent Systems (IS) ◽

10.1109/is.2018.8710463 ◽

2018 ◽

Cited By ~ 11

Author(s):

Raheleh Jafari ◽

Sina Razvarz ◽

Alexander Gegov ◽

Satyam Paul

Keyword(s):

Nonlinear Systems ◽

Uncertain Nonlinear Systems ◽

Modeling And Control ◽

And Control

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Decentralized neural identification and control for uncertain nonlinear systems: Application to planar robot

Journal of the Franklin Institute ◽

10.1016/j.jfranklin.2009.10.019 ◽

2010 ◽

Vol 347 (6) ◽

pp. 1015-1034 ◽

Cited By ~ 25

Author(s):

Fernando Ornelas Tellez ◽

Alexander G. Loukianov ◽

Edgar N. Sanchez ◽

Eduardo Jose Bayro Corrochano

Keyword(s):

Nonlinear Systems ◽

Uncertain Nonlinear Systems ◽

Planar Robot ◽

And Control

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