Sugeno-type fuzzy time-optimal controller for nonlinear systems

Farrukh Nagi, Hanim Saleh, Jawad Nagi

Research output: Contribution to journalArticle

4 Citations (Scopus)


Solving classical optimal control problems in nonlinear cases are an arduous task. Determination of time-optimal solutions by solving a two-point boundary-value problem (TPBVPs) is generally difficult. In the present study, an alternative technique to achieve a near-optimal controller for nonlinear systems without solving the TPBVP problem is investigated. The proposed controller uses the phase response trajectories of sliding-mode and fuzzy bang-bang controllers to achieve a near-optimal solution. The input membership function is tuned on-line to improve the time-optimal output. The controller rules are selected to satisfy stability and optimality conditions for the new fuzzy time-optimal controller. The paper describes a systematic procedure for design of the controller to achieve the desired result. To benchmark the controller performance, a sliding-mode controller is used for comparison. Simulation of three nonlinear examples shows promising results

Original languageEnglish
Pages (from-to)1-20
Number of pages20
JournalFuzzy Sets and Systems
Publication statusPublished - 01 Feb 2013


All Science Journal Classification (ASJC) codes

  • Logic
  • Artificial Intelligence

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