Approximate output regulation of a class of nonlinear systems

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

This work proposes an approximate output regulation of a class of nonlinear systems with time-varying disturbances. Since the implicit manipulated input cannot be solved exactly, a novel input/output linearized framework based on the Lyapunov function is developed. Through the step-by-step systematic design and an applied numerical method, the developed nonlinear controller is found to be a dynamic and state feedback. In terms of a certain invariant manifold, an approximate output regulation design without the need of derivative information of disturbances is proposed. The synthesis of dynamic feedforward/feedback controller includes only one tuning parameter, and is equivalent to a low-and-high gain approach. It is ensured that satisfactory tracking performance can be achieved with only instantaneous values of the exogenous signal available. Moreover the robustness of the system would be enhanced. Finally, an illustrative, CSTR example is given to demonstrate the regulation control developed here.

Original languageEnglish
Pages (from-to)69-80
Number of pages12
JournalJournal of Process Control
Volume11
Issue number1
DOIs
Publication statusPublished - 2001 Jan 1

Fingerprint

Output Regulation
Nonlinear systems
Nonlinear Systems
Disturbance
Controller
Controllers
Invariant Manifolds
Parameter Tuning
Lyapunov functions
Feedforward
State feedback
State Feedback
Lyapunov Function
Instantaneous
Numerical methods
Time-varying
Tuning
Numerical Methods
Synthesis
Robustness

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Modelling and Simulation
  • Computer Science Applications
  • Industrial and Manufacturing Engineering

Cite this

@article{a773666675534d13b0a3fecd5c83b667,
title = "Approximate output regulation of a class of nonlinear systems",
abstract = "This work proposes an approximate output regulation of a class of nonlinear systems with time-varying disturbances. Since the implicit manipulated input cannot be solved exactly, a novel input/output linearized framework based on the Lyapunov function is developed. Through the step-by-step systematic design and an applied numerical method, the developed nonlinear controller is found to be a dynamic and state feedback. In terms of a certain invariant manifold, an approximate output regulation design without the need of derivative information of disturbances is proposed. The synthesis of dynamic feedforward/feedback controller includes only one tuning parameter, and is equivalent to a low-and-high gain approach. It is ensured that satisfactory tracking performance can be achieved with only instantaneous values of the exogenous signal available. Moreover the robustness of the system would be enhanced. Finally, an illustrative, CSTR example is given to demonstrate the regulation control developed here.",
author = "Wei Wu",
year = "2001",
month = "1",
day = "1",
doi = "10.1016/S0959-1524(99)00068-2",
language = "English",
volume = "11",
pages = "69--80",
journal = "Journal of Process Control",
issn = "0959-1524",
publisher = "Elsevier Limited",
number = "1",

}

Approximate output regulation of a class of nonlinear systems. / Wu, Wei.

In: Journal of Process Control, Vol. 11, No. 1, 01.01.2001, p. 69-80.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Approximate output regulation of a class of nonlinear systems

AU - Wu, Wei

PY - 2001/1/1

Y1 - 2001/1/1

N2 - This work proposes an approximate output regulation of a class of nonlinear systems with time-varying disturbances. Since the implicit manipulated input cannot be solved exactly, a novel input/output linearized framework based on the Lyapunov function is developed. Through the step-by-step systematic design and an applied numerical method, the developed nonlinear controller is found to be a dynamic and state feedback. In terms of a certain invariant manifold, an approximate output regulation design without the need of derivative information of disturbances is proposed. The synthesis of dynamic feedforward/feedback controller includes only one tuning parameter, and is equivalent to a low-and-high gain approach. It is ensured that satisfactory tracking performance can be achieved with only instantaneous values of the exogenous signal available. Moreover the robustness of the system would be enhanced. Finally, an illustrative, CSTR example is given to demonstrate the regulation control developed here.

AB - This work proposes an approximate output regulation of a class of nonlinear systems with time-varying disturbances. Since the implicit manipulated input cannot be solved exactly, a novel input/output linearized framework based on the Lyapunov function is developed. Through the step-by-step systematic design and an applied numerical method, the developed nonlinear controller is found to be a dynamic and state feedback. In terms of a certain invariant manifold, an approximate output regulation design without the need of derivative information of disturbances is proposed. The synthesis of dynamic feedforward/feedback controller includes only one tuning parameter, and is equivalent to a low-and-high gain approach. It is ensured that satisfactory tracking performance can be achieved with only instantaneous values of the exogenous signal available. Moreover the robustness of the system would be enhanced. Finally, an illustrative, CSTR example is given to demonstrate the regulation control developed here.

UR - http://www.scopus.com/inward/record.url?scp=0035255179&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0035255179&partnerID=8YFLogxK

U2 - 10.1016/S0959-1524(99)00068-2

DO - 10.1016/S0959-1524(99)00068-2

M3 - Article

VL - 11

SP - 69

EP - 80

JO - Journal of Process Control

JF - Journal of Process Control

SN - 0959-1524

IS - 1

ER -