Robust adaptive dynamic surface control of chaos in permanent magnet synchronous motor

Robust Linear Control of (Chaotic) Permanent-Magnet Synchronous Motors With Uncertainties

“…Therefore, we show analytically that the controlled system under our approach is robust with respect to external perturbations and, in simulations, we show that the controller is also robust with respect to time-varying parameter uncertainties and measurement noise. Other papers where parameter uncertainty, albeit constant, is considered include [8], [29], [30], [4]. The last three deal with adaptive control problems in particular, in [4] parameter convergence is showed under the assumption of smooth air-gap (constant equal inductances).…”

“…Other papers where parameter uncertainty, albeit constant, is considered include [8], [29], [30], [4]. The last three deal with adaptive control problems in particular, in [4] parameter convergence is showed under the assumption of smooth air-gap (constant equal inductances). In [8], a robustness approach is taken to show, in simulations, that the controlled machine remains practically asymptotically stable.…”

“…In this paper, we revisit the problems of set-point (constant operating point) and tracking (time-varying operating regime) control of open-loop chaotic permanent-magnet synchronous machines (PMSM). This problem has attracted a number of researchers from different areas as witnessed by the variety of publications' fora: physics cf., [3], [4], (power) electronics cf., [5]- [7], electrical engineering (circuits) cf., [8]- [12]; besides the fact that the PMSM is a popular benchmark in the control community cf., [13], [14]. One of the key problems related to the PMSM is its natural chaotic behavior, for certain choices of parameters and initial conditions, see, e.g., [15], [16], [6], [11].…”

“…While no stability proof is provided in [8], the control is interesting in that it exploits the dissipative forces inherent in the system and yields good performance, in simulations. Adaptive set-point control algorithms are included in [14] (known parameters, unknown load) and in [4] (zero load, one unknown parameter, smooth-air-gap machine). Other papers aiming at annihilating chaos include [15] where the goal is to drive the machine to describe periodic orbits.…”

Design of Intelligent Controller for Chaotic Permanent Synchronous Motor

“…The sliding mode control was addressed to control chaos for PMSM in [21]. And Wei et al [22] proposed an adaptive dynamic surface control of chaos in PMSM. An instantaneous Lyapunov exponent control algorithm was used by Zribi et al [23] to control the PMSM.…”