A systematic theory for topology synthesis of parallel manipulators considering basic requirements such as kinematics, dynamics, control, and actuation is built. The kernel part of the theory is its proper application of a new mobility formula, output character equation of parallel manipulators, and units for single-opened-chains that have topological features. A feasible methodology for synthesizing parallel manipulators is also given, by which a detailed application is focused on the synthesis of three-dimension-translation parallel manipulators. The result synthesized encompasses not only most known mechanisms, but also some novel mechanisms with fine performances, such as simple forward/inverse kinematics and decoupling of input-output parameters that especially benefit control of theses structures.

*Advances in Robot Kinematics*, J. Lenarcˇicˇ and M. M. Stanisˇicˇ, eds., Kluwer Academic Publishers, pp. 395–402.

*Proc. of the 5th IEEE Int. Conference on Advanced Robotics*, Pisa, Italy, pp. 808–813.

*Proc. of the 1993 IEEE/Tsukuba Int. Workshop on Advanced Robotics*, Tsukuba, Japan, pp. 75–80.

*Proc. of the 9th World Congress on Theory of Machines and Mechanisms*, Milland, pp. 2079–2082.

*Proc. of the 1996 ASME Design Engineering Technical Conferences*, Irvine, CA, 96-DETC-MECH-1152.

*Recent Advances in Robot Kinematics*, J. Lenarcˇicˇ and V. Parenti-Castelli, eds., Kluwer Academic Publishers, pp. 401–410.

*Proc. of the 1996 IEEE Int. Conf. on Robotics and Automation*, Minneapolis, MN, pp. 3446–3451.

*Proc. of the 10th World Congress of the Theory of Machine and Mechanisms*, Finland, pp. 1121–1126.

*Robot Analysis: The Mechanics of Serial and Parallel Manipulators*, John Wiley & Sons, Inc., New York.

*Proc. of the 1999 IEEE/ASME International Conference on Advanced Intelligent Mechatronics*, Atlanta, GA, pp. 520–525.

*Proc. of the 26th ASME Biennial Mechanisms and Robotics Conferences*, Baltimore, Maryland, DETC2000/MECH-14101.

*Advances in Robot Kinematics*, J. Lenarcˇicˇ and M. M. Stanisˇicˇ, eds., Kluwer Academic Publishers, pp. 433–440.

*Proc. of ASME Design Engineering Technical Conferences*, Pittsburgh, PA, DETC2001/DAC-21152.

*Proc. of ASME Design Engineering Technical Conferences*, Pittsburgh, PA, DETC2001/DAC-21151.

*Proc. of the WORKSHOP on Fundamental Issues and Future Research Directions for Parallel Mechanisms and Manipulators*, Quebec City, Quebec, Canada.

*Proc. of the 18th International Symposium on Industrial Robot*, Lausanne, Switzerland, pp. 91–100.

*Proc. of the 1st Int. Conference on Mechanical Engineering*, Shanghai.

*Proc. of ASME 2002 Design Engineering Technical Conferences and Computers and Information in Engineering Conference*, Montreal, Canada, DETC2002/MECH-34307.

*Proc. of ASME Design Engineering Technical Conferences*, Pittsburgh, PA, DETC2001/DAC-21153.

*Proc. of the WORKSHOP on Fundamental Issues and Future Research Directions for Parallel Mechanisms and Manipulators*, Quebec City, Quebec, Canada.

*Proc. of the WORKSHOP on Fundamental Issues and Future Research Directions for Parallel Mechanisms and Manipulators*, Quebec City, Quebec, Canada.

*Proc. of the 4th World Congress on the Theory of Machines and Mechanisms*, pp. 51–56.

*Proc. of the 6th World Congress on Theory of Machines and Mechanisms*, New Delhi, pp. 280–283.

*Proc. of the 1986 ASME Design Engineering Technical Cong.*, Columbus, 86-DET-181.

*Proc. of the 4th IFTOMM International Symposium on Linkages and Computer Aided Design Method*, Bucharest,

**2**, pp. 447–456.

*Basic Theory of Mechanical System—Structurology, Kinematics and Dynamics*, China Machine Press, Beijing, pp. 26–32.

*Proc. of ASME Mechanisms Conf.*,

**70**, pp. 493–500.

*Proc. of ASME Mechanisms Conf.*,

**71**, pp. 215–220.

*Proc. of ASME Mechanisms Conf.*, Orlando,

**15**(1), pp. 179–190.

*Proc. of ASME Mechanisms Conf.*, Phoenix, DE-47, pp. 179–190.

*European Robotics and Intelligent Systems Conf.*, Corfu, June 23–28.

*Proc. of ICAR*, Tokyo, Japan, pp. 153–158.

*Proc. of the Workshop on Fundamental Issues and Future Research Directions for Parallel Mechanisms and Manipulators*, Quebec, Canada, pp. 12–15.