Linearization and optimization of robot dynamics via inertial parameter design

1996-08-01
In this article, the concept of linearity number (LN) is introduced to measure the ''linearity'' of the equations of motion of a serial manipulator. This number is computable in closed-form and is an average quantitative index of the degree of linearity of the robot over a specified region in the joint space. The definition is flexible, allowing the user to create custom-made definitions according to his or her specific needs. Using the concept of LN and the developed computer package CADLOR, one can design the kinematic and/or inertial parameters of the robot such that the robot is completely linear (or as linear as possible) and obtain the corresponding equations of motion in closed-form. Three manipulators are used to illustrate the linearization algorithm. The relation between LN and the performance of a linear controller is demonstrated by a case study in which the first 3 links of a PUMA 560 type robot is considered. (C) 1996 John Wiley & Sons, Inc.
JOURNAL OF ROBOTIC SYSTEMS

Suggestions

STABILITY OF CONTROL FORCES IN REDUNDANT MULTIBODY SYSTEMS
IDER, SK (1996-01-03)
In this paper inverse dynamics of redundant multibody systems using a minimum number of control forces is formulated. It is shown that the control forces and the task accelerations may become noncausal at certain configurations, yielding the dynamical equation set of the system to be singular. For a given set of tasks, each different set of actuators leads to a different system motion and also to different singular configurations. To avoid the singularities in the numerical solution, the dynamical equations...
Topological analysis of 6-joint serial manipulators and their inverse kinematic solutions
Özgören, Mustafa Kemal (2002-05-01)
The 6-joint serial manipulators are thoroughly investigated from the viewpoint of their inverse kinematic solutions. To do this systematically, the manipulators are classified according to their joint arrangements and two topological concepts are introduced as type number and conjugacy. The conditions of validity are stated and the valid manipulators are further classified into four groups according to their type numbers as type-3, type-4, type-5, and type-6. The concept of conjugacy leads to a reduction in...
Contributions on plateaued (vectorial) functions for symmetric cryptography and coding theory
Sınak, Ahmet; Özbudak, Ferruh; Mesnager, Sihem; Department of Cryptography (2017)
Plateaued functions, used to construct nonlinear functions and linear codes, play a significant role in cryptography and coding theory. They can possess various desirable cryptographic properties such as high nonlinearity, low autocorrelation, resiliency, propagation criteria, balanced-ness and correlation immunity. In fact, they provide the best possible compromise between resiliency order and nonlinearity. Besides they resist against linear cryptanalysis and fast correlation attacks due to their low Walsh...
Exact quantization rule to the Kratzer-type potentials: an application to the diatomic molecules
IKHDAİR, SAMEER; Sever, Ramazan (Springer Science and Business Media LLC, 2009-04-01)
For arbitrary values of n and l quantum numbers, we present a simple exact analytical solution of the D-dimensional (D a parts per thousand yen 2) hyperradial Schrodinger equation with the Kratzer and the modified Kratzer potentials within the framework of the exact quantization rule (EQR) method. The exact bound state energy eigenvalues (E (nl) ) are easily calculated from this EQR method. The corresponding normalized hyperradial wave functions (psi (nl) (r)) are also calculated. The exact energy eigenvalu...
Quantitative measures of observability for stochastic systems
Subaşı, Yüksel; Demirekler, Mübeccel; Department of Electrical and Electronics Engineering (2012)
The observability measure based on the mutual information between the last state and the measurement sequence originally proposed by Mohler and Hwang (1988) is analyzed in detail and improved further for linear time invariant discrete-time Gaussian stochastic systems by extending the definition to the observability measure of a state sequence. By using the new observability measure it is shown that the unobservable states of the deterministic system have no effect on this measure and any observable part wit...
Citation Formats
R. Soylu, “Linearization and optimization of robot dynamics via inertial parameter design,” JOURNAL OF ROBOTIC SYSTEMS, pp. 527–538, 1996, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/63251.