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

The reference governor modifies set-point commands to a closed-loop system in order to enforce state and control constraints. In this paper, we describe an approach to reference governor implementation for nonlinear systems, which is based on bounding (covering) the response of a nonlinear system by the response of a linear model with a set-bounded disturbance input. Such a design strategy is of interest as it reduces the online optimization problem to a convex quadratic programming (QP) problem with linear inequality constraints, thereby permitting standard QP solvers to be used. A numerical example is reported.

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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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Adaptive Robust Control of a Class of Uncertain Nonlinear Systems Based on Backstepping

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.389.441 ◽

2013 ◽

Vol 389 ◽

pp. 441-447

Author(s):

Hai Bo Zhao ◽

Yun Guo Zhu

Keyword(s):

Robust Control ◽

Nonlinear Systems ◽

Adaptive Controller ◽

Adaptive Robust Control ◽

Uncertain Nonlinear Systems ◽

Globally Asymptotically Stable ◽

Adaptive Law ◽

Bounded Disturbances ◽

Bounded Disturbance ◽

Control Quantity

Aiming at the control of a class of bounded disturbance uncertain nonlinear systems,we applied robust control and backstepping control,introduced the concept of virtual control quantity,chose Lyapunov function through stepwise recursion,offered the adaptive law of parameters estimate,designed an adaptive controller with state feedback in the premise of unknown uncertain parameters in the systems, and analyzed its stability. Compared with the conventional PID control in simulation results, the designed controller has the better robustness of the system parameter uncertainty and bounded disturbances, and can ensure the entire closed-loop system is globally asymptotically stable, thus verifying the effectiveness of the proposed control strategy.

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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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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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