Journal of Central South University

, Volume 18, Issue 3, pp 760–766 | Cite as

Adaptive control using interval Type-2 fuzzy logic for uncertain nonlinear systems

  • Hai-bo Zhou (周海波)
  • Hao Ying (应浩)
  • Ji-an Duan (段吉安)Email author


A new adaptive Type-2 (T2) fuzzy controller was developed and its potential performance advantage over adaptive Type-1 (T1) fuzzy control was also quantified in computer simulation. Base on the Lyapunov method, the adaptive laws with guaranteed system stability and convergence were developed. The controller updates its parameters online using the laws to control a system and tracks its output command trajectory. The simulation study involving the popular inverted pendulum control problem shows theoretically predicted system stability and good tracking performance. And the comparison simulation experiments subjected to white noise or step disturbance indicate that the T2 controller is better than the T1 controller by 0–18%, depending on the experiment condition and performance measure.

Key words

Type-2 fuzzy systems adaptive fuzzy control nonlinear systems stability 


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Copyright information

© Central South University Press and Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Hai-bo Zhou (周海波)
    • 1
    • 2
  • Hao Ying (应浩)
    • 3
  • Ji-an Duan (段吉安)
    • 1
    • 2
    Email author
  1. 1.School of Mechanical and Electrical EngineeringCentral South UniversityChangshaChina
  2. 2.State Key Laboratory of High Performance and Complex ManufacturingCentral South UniversityChangshaChina
  3. 3.Department of Electrical and Computer EngineeringWayne State UniversityDetroitUSA

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