Sugeno-type fuzzy time-optimal controller for nonlinear systems

Farrukh Nagi, Hanim Salleh, Jawad Nagi

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

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
Volume212
DOIs
Publication statusPublished - 01 Feb 2013

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Nonlinear systems
Nonlinear Systems
Controller
Controllers
Sliding Mode
Two-point Boundary Value Problem
Boundary value problems
Optimal Solution
Membership functions
Optimality Conditions
Membership Function
Stability Condition
Optimal Control Problem
Trajectories
Trajectory
Benchmark
Output
Alternatives
Simulation

All Science Journal Classification (ASJC) codes

  • Logic
  • Artificial Intelligence

Cite this

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Sugeno-type fuzzy time-optimal controller for nonlinear systems. / Nagi, Farrukh; Salleh, Hanim; Nagi, Jawad.

In: Fuzzy Sets and Systems, Vol. 212, 01.02.2013, p. 1-20.

Research output: Contribution to journalArticle

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