Motion planning and open loop control design for linear distributed parameter systems with lumped controls

In this paper, randomized algorithms are used to design an open-loop control for a clutch-to-clutch shift automatic transmission and to study the robustness of that control. The open-loop control design problem can be posed as an optimal control problem but because of the computational cost associated with each simulation and the complexity of the transmission model, classical results from optimal control theory are not a practically feasible approach for this problem. We apply randomized search algorithms for optimization to these problems and present some promising results.

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Open-loop control design via parametrization applied in a two-level quantum system model

2010 4th International Symposium on Communications, Control and Signal Processing (ISCCSP) ◽

10.1109/isccsp.2010.5463441 ◽

2010 ◽

Author(s):

Markku Nihtila

Keyword(s):

Quantum System ◽

Control Design ◽

Open Loop ◽

System Model ◽

Open Loop Control ◽

Loop Control

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Multi-DOF compensation of piezoelectric actuators with recursive databases

at - Automatisierungstechnik ◽

10.1515/auto-2017-0136 ◽

2018 ◽

Vol 66 (8) ◽

pp. 656-664 ◽

Cited By ~ 1

Author(s):

Christopher Schindlbeck ◽

Christian Pape ◽

Eduard Reithmeier

Keyword(s):

Tracking Control ◽

Control Design ◽

Cross Coupling ◽

Piezoelectric Actuators ◽

Nonlinear Effects ◽

Open Loop ◽

Degree Of Freedom ◽

Decoupling Control ◽

Open Loop Control ◽

Loop Control

Abstract Piezoelectric actuators are subject to nonlinear effects when voltage-driven in open-loop control. In particular, hysteresis and creep effects are dominating nonlinearities that significantly deteriorate performance in tracking control scenarios. In this paper, we present an online compensator suitable for piezoelectric actuators that is based on the modified Prandtl-Ishlinskii model and utilizes recursive databases for the compensation of nonlinearities. The compensator scheme is furthermore extended to systems with more than one degree of freedom (DOF) such as Cartesian manipulators by employing a decoupling control design to mitigate inherent cross-coupling disturbances. In order to validate our theoretical derivations, experiments are conducted with coupled trajectories on a commercial 3-DOF micro-positioning unit driven by piezoelectric actuators.

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Optimum Pulse Control of Flexible Structures

Journal of Applied Mechanics ◽

10.1115/1.3157684 ◽

1981 ◽

Vol 48 (3) ◽

pp. 619-626 ◽

Cited By ~ 49

Author(s):

S. F. Masri ◽

G. A. Bekey ◽

T. K. Caughey

Keyword(s):

Control Method ◽

Flexible Structures ◽

Open Loop ◽

Response Threshold ◽

Distributed Parameter ◽

Open Loop Control ◽

Pulse Control ◽

Loop Control ◽

Pulse Characteristics ◽

Active Control Method

A simple yet efficient active control method is presented for reducing the oscillations of distributed parameter systems subjected to arbitrary dynamic environments. Following determination that some specified response threshold has been exceeded, an open-loop control pulse is applied. The optimum pulse characteristics are determined analytically so as to minimize a non-negative cost function related to the structure energy. The proposed control method is shown to be reliable in consistently mitigating the response of realistic multidegree-of-freedom systems, whether linear or nonlinear, subject to arbitrary stochastic or deterministic excitation.

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