Almost disturbance decoupling of MIMO nonlinear systems and application to chemical processes

The problem of almost disturbance decoupling is considered for a class of nonlinear systems with unmeasurable time-varying disturbances. A structure, called nested lower triangular form, is introduced, which contains lower triangular form as a special case. The backstepping design technique is appli...

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Bibliographic Details
Published inAutomatica (Oxford) Vol. 40; no. 3; pp. 465 - 471
Main Authors Liu, Xiaoping, Jutan, A., Rohani, S.
Format Journal Article
LanguageEnglish
Published Oxford Elsevier Ltd 01.03.2004
Elsevier
Subjects
Applied sciences
Computer science; control theory; systems
Control system analysis
Control theory. Systems
Disturbance rejection
Exact sciences and technology
Nonlinear control
Nonlinear systems
Process control. Computer integrated manufacturing
Stabilization
State feedback
State feedback
Disturbance rejection
Stabilization
Nonlinear systems
Nonlinear control
MIMO system
Non linear control
Feedback regulation
Process
Non linear system
Chemical product
Closed feedback
Time varying system
Application
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Summary:The problem of almost disturbance decoupling is considered for a class of nonlinear systems with unmeasurable time-varying disturbances. A structure, called nested lower triangular form, is introduced, which contains lower triangular form as a special case. The backstepping design technique is applied to construct an H ∞ feedback controller which achieves internal stability of the closed-loop system and renders a bounded L 2 gain from the disturbance input to the output. The application of the developed design method is illustrated through a two continuous stirred tank reactor example, which can be put into the nested lower triangular form.
ISSN:0005-1098
1873-2836
DOI:10.1016/j.automatica.2003.10.019