Conference Proceeding

Time-optimal control via fuzzy approach

Dept. of Electr. & Control Eng., Nat. Chiao Tung Univ., Hsinchu, Taiwan
11/2004; DOI:10.1109/ICSMC.2004.1400939 ISBN: 0-7803-8566-7 pp.3817 - 3821 vol.4 In proceeding of: Systems, Man and Cybernetics, 2004 IEEE International Conference on, Volume: 4
Source: IEEE Xplore

ABSTRACT In this paper, a fuzzy model based time-optimal controller will be proposed. The control input is bounded, and only achieved in minimum time. A design approach of the minimal time fuzzy controller using Pontryagin's minimum principle (PMP) is presented. The necessary conditions of PMP for time-optimal problem achieve the goal in minimum time under bounded controls can be formulated as bang-bang control. Determination of time-optimal solution by solving the corresponding two-point boundary-value problems (TPBW) is, in general, done by shooting method. The TPBVP solved by the shooting method that allows satisfying all the equations and the boundary conditions. An illustrative example is provided to show the validity of the proposed approach.

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Keywords

allows satisfying
 
boundary conditions
 
corresponding two-point boundary-value problems
 
design approach
 
equations
 
fuzzy model
 
illustrative example
 
necessary conditions
 
PMP
 
Pontryagin's minimum principle
 
proposed approach
 
TPBW