Characterization and quenching of friction-induced limit cycles of electro-hydraulic servovalve control systems with transport delay

An experimental and theoretical study on the effect of sampling time delay on the stability of a PI position controller of a hydraulic cylinder

“…The theory suggests that the upper stability limit (corresponding to flip bifurcation) does not depend on the integrator gain, see (11). However, the measurements show that it slightly decreases with increasing integrator gain.…”

“…The origin of the delay can be digital sampling (see e.g. [4,8]), network control (as described in [3,10]) or the wave effects in the transmission lines (see [11]). Whichever type is present in the system, the stability of the controller is affected in an undesired way; i.e., the stable domain shrinks and oscillations emerge.…”

Experimental evaluation of acceleration waveform replication on electrohydraulic shaking tables

“…An uncertain transport delay time in the transmission of an electrohydraulic servo-valve control system was presented, and a delay time variation can be effectively predicted and unconditionally removed. 107 Hence, a combined controller based on the LMS and an advanced delay compensation method 47 would produce very powerful techniques in the EHST.…”

Inducing sustained oscillations in feedback-linearizable single-input nonlinear systems

“…It follows, then, from the LaSalle's stability principle, that every solution of system (4) resulting from the state feedback control law (8), starting in the set S, asymptotically converges to the set Ω.…”

“…Besides the fundamental scientific interest in mathematical systems theory, the design of systems exhibiting driven sustained oscillations remains an important strategic domain of research in the context of applied science. Indeed, oscillators are a common concern of mechanical engineering, electrical engineering, electromechanical engineering, and combustion engineering, as well as in robotics and power electronics (e.g., [1][2][3][4][5][6][7][8][9]). Moreover, the current excitement about microelectromechanical systems (MEMS), and the rise of synthetic biology, calls for the rational design of robust oscillators grounded in an in-depth understanding of both natural and artificially regulated oscillatory dynamical systems (e.g., [10][11][12][13][14][15][16]).…”