Control, anticontrol and synchronization of chaos for an autonomous rotational machine system with time-delay

Chaotification and optimization design of a nonlinear vibration isolation system

“…For this purpose, making a nonchaotic dynamical system chaotic or retaining (or enhancing) the chaos of a chaotic system is called 'anti-control of chaos' or 'chaotification'. The primary chaotification schemes for a nonlinear dynamical system include feedback control (Saha et al, 2003;Chen and Lee, 2004;Wang and Chau, 2008), adaptive control (Zhang et al, 2004;Ge and Lee, 2005), switching piecewise-linear control (Lu¨and Chen, 2002;Zheng et al, 2004), and so on. Among these methods, feedback control is the most popular method because of its simple configuration and easy implementation.…”

A model-based velocity controller for chaotization of flexible joint robot manipulators

“…31,32 Finally, a chaotization problem can be stated as a tracking problem, but the goal is to meet some formal criteria of chaos. 33 Chaotization for mechanical systems can be accomplished by means of several methods including proportional derivative control, 34 saturated proportional control, 35 time-delay feedback control applied to DC motors for industrial mixing, 36 chaotization of brushless DC motor systems, [37][38][39] adaptive techniques for rigid robot manipulators, 40 feedback linearization for mobile robots, 41 proportional integral derivative control, 42 neural networks, 43 path planning generators for autonomous robots, [44][45][46] mechanism synthesis, 47 computing robot kinematics, 48 parameter identification, 49 passive dynamic walking, 50 among others. There are also some studies showing the importance of chaotization in FJR manipulators.…”

Robust dynamic compensator for a class of time delay systems containing saturating control input

“…Furthermore, chaotic behaviors produced by this kind of time delays have also been found and investigated in Refs. [8][9][10][11]. Numerous approaches, such as the pole placement approach via spectral decomposition [1,2], the Riccati equation approach [3,4,7] and the finite spectrum assignment [5,6], have been devoted to deal with this stabilization problem.…”