Impulsive control of a class of vibro-impact systems

Forward and backward motion control of a vibro-impact capsule system

“…Control of vibro-impact systems has attracted great attention for many years, e.g. [15,16,17,18,19,20]. In [15], control of a double impacting oscillator using displacement feedback was studied, and the effect of how grazing impacts limit the stability regions of certain periodic orbits was discussed.…”

“…A feedback control technique using a small-amplitude damping signal was studied in [19] for suppressing chaotic behaviour of an impact oscillator. Later on, Wang et al [20] developed an impulsive control method to stabilize the chaotic motion for a class of vibro-impact systems. In [21], Liu et al pro-posed an intermittent control method for a class of non-autonomous dynamics systems that naturally exhibited coexisting attractors, and demonstrated its applicability to an impact oscillator numerically and experimentally.…”

Impulsive control of sticking motion in van der Pol one-sided constraint system

“…Since these nonsmooth factors exist in this type of system, the theories of smooth systems cannot apply to nonsmooth systems. Some achievements have been gained [1][2][3], and the study of this field have been attracted many scholars [4][5][6][7][8][9][10][11][12].…”

Impulsive Control of a Rup-Impacting Rotor System

“…Keogh and Cole [9], who developed control strategies for a rotor system suspended by active magnetic bearings when contact within the auxiliary bearing system occurs. Wang et al [10] developed a control scheme, named impulsive control method and proved effective for smooth system, to stabilize the chaotic motions in a class of vibro-impact systems. In this work, the phase characteristic of rub-impacting rotor system is investigated and used to explain the feasibility of the impulsive control for this system.…”