Intelligent Fuzzy Chaotic Control of a Two-Link Rigid Robot Arm

A new intelligent fuzzy chaotic control is proposed for two-link rigid robot arm. The system could have a chaotic behavior by applying a proper input. At the first step, input amplitude is varied in chaotic range, then the unstable period orbits (UPOs) of the plant, by using the Poincare map, and the convenient gains, are found for each amplitude. At the second step, maximum changed value of UPOs, which can be controlled with the computed gains, are obtained. So we have a lot of fuzzy regions a round of UPOs with the definite controlling rules. These regions should be overlapped and covered all spaces between two nearer fixed-points. By this way, the system could be controlled by routing the best path with considering the lowest consumption through the UPOs.

[1]  Ying-Cheng Lai,et al.  Controlling chaos , 1994 .

[2]  Martienssen,et al.  Controlling chaos experimentally in systems exhibiting large effective Lyapunov exponents. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[3]  Edward Ott,et al.  Controlling chaos , 2006, Scholarpedia.

[4]  Schouten,et al.  Experimental control of a chaotic pendulum with unknown dynamics using delay coordinates. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[5]  T. Vincent Control using chaos , 1997 .

[6]  Celso Grebogi,et al.  Erratum: ``Controlling chaos'' [Phys. Rev. Lett. 64, 1196 (1990)] , 1990 .

[7]  Dressler,et al.  Controlling chaos using time delay coordinates. , 1992, Physical review letters.

[8]  U. Dressler,et al.  Chaos control with adjustable control times , 1997 .

[9]  Barreto,et al.  Multiparameter control of chaos. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[10]  Th. Holzhüter,et al.  Control of a Chaotic Relay System Using the OGY Method , 1998 .

[11]  Kestutis Pyragas Continuous control of chaos by self-controlling feedback , 1992 .

[12]  Celso Grebogi,et al.  Using small perturbations to control chaos , 1993, Nature.

[13]  Marcelo A. Savi,et al.  A multiparameter chaos control method based on OGY approach , 2009 .

[14]  A. Jafari,et al.  Supervisory chaos control of a two-link rigid robot arm using OGY method , 2008, 2008 IEEE Conference on Cybernetics and Intelligent Systems.

[15]  Ott,et al.  Controlling chaos using time delay coordinates via stabilization of periodic orbits. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[16]  E. Ott,et al.  Controlling Chaotic Dynamical Systems , 1991, 1991 American Control Conference.