Output tracking of constrained nonlinear processes with offset-free input-to-state stable fuzzy predictive control

Tiejun Zhang, Gang Feng, Xiao Jun Zeng

Research output: Contribution to journalArticlepeer-review

63 Scopus citations

Abstract

This paper develops an efficient offset-free output feedback predictive control approach to nonlinear processes based on their approximate fuzzy models as well as an integrating disturbance model. The estimated disturbance signals account for all the plant-model mismatch and unmodeled plant disturbances. An augmented piecewise observer, constructed by solving some linear matrix inequalities, is used to estimate the system states and the lumped disturbances. Based on the reference from an online constrained target generator, the fuzzy model predictive control law can be easily obtained by solving a convex semi-definite programming optimization problem subject to several linear matrix inequalities. The resulting closed-loop system is guaranteed to be input-to-state stable even in the presence of observer estimation error. The zero offset output tracking property of the proposed control approach is proved, and subsequently demonstrated by the simulation results on a strongly nonlinear benchmark plant.

Original languageBritish English
Pages (from-to)900-909
Number of pages10
JournalAutomatica
Volume45
Issue number4
DOIs
StatePublished - Apr 2009

Keywords

  • Constrained optimization
  • Fuzzy systems
  • Input-to-state stability
  • Linear matrix inequality
  • Model predictive control
  • Offset-free control
  • Output feedback
  • Output tracking

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