Randomized Algorithms for Open-Loop Control of Clutch-to-Clutch Transmissions

1999 ◽  
Vol 121 (3) ◽  
pp. 508-517 ◽  
Author(s):  
Albert Yoon ◽  
Pramod Khargonekar ◽  
Kumar Hebbale
Keyword(s):  
Optimal Control ◽  
Randomized Algorithms ◽  
Automatic Transmission ◽  
Computational Cost ◽  
Control Design ◽  
Open Loop ◽  
Transmission Model ◽  
Open Loop Control ◽  
Loop Control ◽  
Randomized Search

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.

DIRECTING ORBITS OF CHAOTIC DYNAMICAL SYSTEMS

1995 ◽  
Vol 05 (02) ◽  
pp. 573-583 ◽  
Author(s):  
M. PASKOTA ◽  
A.I. MEES ◽  
K.L. TEO
Keyword(s):  
Optimal Control ◽  
Dynamical Systems ◽  
Control Theory ◽  
Optimal Control Theory ◽  
Open Loop ◽  
Open Loop Control ◽  
Target Region ◽  
Loop Control ◽  
Chaotic Dynamical Systems ◽  
Bounded Perturbations

In this paper, we consider the directing of orbits of discrete chaotic dynamical systems towards desired targets. Our aim is to significantly reduce the time needed to reach a target region by applying only small, bounded perturbations. We derive an open-loop control from methods of optimal control theory, and we discuss the effects of random dynamical noise on the open-loop control.

Multi-DOF compensation of piezoelectric actuators with recursive databases

2018 ◽  
Vol 66 (8) ◽  
pp. 656-664 ◽  
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.

Optimal Control Indicators for the Assessment of the Influence of Approximate Optimal Feedback in the Baseline RBC Model

2014 ◽  
Vol 3 (1) ◽  
pp. 1-15
Author(s):  
Iraklis Kollias
Keyword(s):  
Optimal Control ◽  
Control System ◽  
Decision Rule ◽  
Capital Stock ◽  
Open Loop ◽  
Optimal Decision ◽  
Open Loop Control ◽  
Loop Control ◽  
Optimal Decision Rule ◽  
Loop Control System

This paper utilizes the baseline Real Business Cycle (RBC) model in order to construct a time recursive approximate optimal decision rule as a linear function of the model's state variables and an exogenous surprise shock that hits the economy. The constructed rule is subsequently used in order to examine and compare the dynamics of the capital stock and random total factor productivity (TFP). For this purpose, an open-loop control system is analyzed and compared with the closed-loop control system which results from the application of the time recursive approximate optimal decision rule. A set of optimal control indicators is proposed in order to evaluate the effects resulting from the application of this rule on the behavior of the open-loop control system. The results obtained show a significant reduction in the volatility of the capital stock when the constructed approximate optimal decision rule is applied to the open-loop control system.

Optimal Control of Restraint Forces in an Automobile Impact

2006 ◽  
Vol 129 (4) ◽  
pp. 415-424 ◽  
Author(s):  
Richard W. Kent ◽  
Dmitry V. Balandin ◽  
Nikolai N. Bolotnik ◽  
Walter D. Pilkey ◽  
Sergey V. Purtsezov
Keyword(s):  
Optimal Control ◽  
Seat Belt ◽  
Open Loop ◽  
Control Law ◽  
Continuous Control ◽  
Control Force ◽  
Restraint System ◽  
Open Loop Control ◽  
Loop Control ◽  
Linear Spring

This study concerns a concept for an optimal control of the force developed in an automotive restraint system during a frontal impact. The concept is close to that of “smart” restraint systems and involves continuous control of the restraint force by moving the point of attachment of the restraint system to the vehicle or retracting and releasing the seat belts. The analytical foundation for the control of the restraining force does not appear to have been formulated prior to this study. The control design involves the limiting performance analysis of the isolation of an occupant from the crash impact and the formation of a feedback to sustain the open-loop control law that provides the limiting performance. Initially, the problem is outlined using a single-degree-of-freedom system and solved for optimal isolator characteristics. This exercise shows that the optimal force is constant and that the performance of a restraint system behaving as a linear spring is half as effective as the optimal. The methodology is then applied to a published thoracic model having multiple degrees of freedom. A set of functionals is defined as constraints corresponding to injury criteria and the displacement of the occupant relative to the vehicle. The characteristics of the optimal isolator force are then determined. It is shown that this force has a short-duration period of high magnitude early in the profile, followed by an interval of nearly constant force. Next it is shown that a restraint behaving as a linear spring can generate the optimal control force if its attachment point in the vehicle is allowed to move. The design of the control law for this motion involves the determination of an optimal open-loop control and the formation of a feedback to sustain this control. Forms for both of these are presented. A substantial improvement in the behavior of an automobile occupant’s restraint systems can be anticipated from an active control of the seat belt retraction.

Optimal Control of Chaos with Synchronization

1997 ◽  
Vol 07 (12) ◽  
pp. 2855-2860 ◽  
Author(s):  
Shing Pan ◽  
Fuliang Yin
Keyword(s):  
Optimal Control ◽  
Chaos Synchronization ◽  
Chaotic Systems ◽  
Minimum Principle ◽  
Open Loop ◽  
Open Loop Control ◽  
Control Of Chaos ◽  
Controlled System ◽  
Loop Control ◽  
Noisy Background

Optimal control of chaotic systems is discussed in this paper. Since often only open-loop control can be obtained from the minimum principle, the output of the controlled system may be dramatically affected by noise. By using chaos synchronization, we successfully keep the output of the controlled chaotic system in the designed optimal trajectory even in noisy background. The numerical experiments of the Rössler system and the Hénon system are presented to demonstrate its effectiveness.

Optimal Control of Nonlinear Structures

1988 ◽  
Vol 55 (4) ◽  
pp. 931-938 ◽  
Author(s):  
J. N. Yang ◽  
F. X. Long ◽  
D. Wong
Keyword(s):  
Optimal Control ◽  
Control Systems ◽  
Active Control ◽  
Control Algorithm ◽  
Open Loop ◽  
Control Algorithms ◽  
Nonlinear Structures ◽  
Open Loop Control ◽  
Loop Control ◽  
Optimal Control Algorithms

Three optimal control algorithms are proposed for reducing oscillations of flexible nonlinear structures subjected to general stochastic dynamic loads, such as earthquakes, waves, winds, etc. The optimal control forces are determined analytically by minimizing a time-dependent quadratic performance index, and nonlinear equations of motion are solved using the Wilson-θ numerical procedures. The optimal control algorithms developed for applications to nonlinear structures are referred to as the instantaneous optimal control algorithms, including the instantaneous optimal open-loop control algorithm, instantaneous optimal closed-loop control algorithm, and instantaneous optimal closed-open-loop control algorithm. These optimal algorithms are computationally efficient and suitable for on-line implementation of active control systems to realistic nonlinear structures. Numerical examples are worked out to demonstrate the applications of these optimal control algorithms to nonlinear structures. In particular, control of structures undergoing inelastic deformations under strong earthquake excitations are illustrated. The advantage of using combined passive/active control systems is also demonstrated.

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