Control and Optimization

On optimal control of multi-link vertical planar robot arms systems moving under the effect of gravity

“…For more details on control parametrization methods see [2,13]. For a vertical planar multi-link robot arms system moving under the effect of gravity, its chaotic behaviour associated with a non-workable initial guess will cause numerical integration failures.…”

“…To summarize the above, we introduce the idea of a "selective rule" M(x(0), u°,i) for a fixed set of state differential equations and a fixed cost functional, where i e [1,2,3,4]. When i = 1, M gives the information about workability of M°, i.e.…”

“…There are a number of efficient computational techniques available nowadays to tackle this problem numerically, for example, see [2,[8][9][10][11]13]. Software packages 196 H. W. J. Lee , K. L. Teo and L. S. Jennings [2] are also available now implementing these ideas such as MISER3.1 [3,13] which was developed based on the method of control parametrization and nonlinear constrained optimization techniques.…”

“…Software packages 196 H. W. J. Lee , K. L. Teo and L. S. Jennings [2] are also available now implementing these ideas such as MISER3.1 [3,13] which was developed based on the method of control parametrization and nonlinear constrained optimization techniques. In optimal control software packages, such as MISER3.1, an initial control is required to start the corresponding algorithm.…”

Optimality criteria in set-valued optimization

“…A subset 5 of X is said to be an arcwise connected set if for all x\, terms of use, available at https://www.cambridge.org/core/terms. https://doi.org/10.1017/S1446788700003736 [7] Optimality criteria in set-valued optimization 227…”