Closed-loop Stackelberg solution to a multistage linear-quadratic game

1981 ◽  
Vol 34 (4) ◽  
pp. 485-501 ◽  
Author(s):  
B. Tolwinski
Keyword(s):  
Closed Loop ◽  
Linear Quadratic ◽  
Stackelberg Solution

On closed-loop equilibrium strategies for mean-field stochastic linear quadratic problems

2020 ◽  
Vol 26 ◽  
pp. 41
Author(s):  
Tianxiao Wang
Keyword(s):  
Optimal Control ◽  
Closed Loop ◽  
Optimal Control Problems ◽  
Mean Field ◽  
Open Loop ◽  
Time Inconsistency ◽  
Control Problems ◽  
Linear Quadratic ◽  
Linear Quadratic Optimal Control ◽  
Equilibrium Strategies

This article is concerned with linear quadratic optimal control problems of mean-field stochastic differential equations (MF-SDE) with deterministic coefficients. To treat the time inconsistency of the optimal control problems, linear closed-loop equilibrium strategies are introduced and characterized by variational approach. Our developed methodology drops the delicate convergence procedures in Yong [Trans. Amer. Math. Soc. 369 (2017) 5467–5523]. When the MF-SDE reduces to SDE, our Riccati system coincides with the analogue in Yong [Trans. Amer. Math. Soc. 369 (2017) 5467–5523]. However, these two systems are in general different from each other due to the conditional mean-field terms in the MF-SDE. Eventually, the comparisons with pre-committed optimal strategies, open-loop equilibrium strategies are given in details.

A Control Strategy for Intelligent Stamp Forming Tooling

2011 ◽  
Vol 133 (6) ◽  
Author(s):  
William J. Emblom ◽  
Klaus J. Weinmann
Keyword(s):  
Fuzzy Logic ◽  
Control Systems ◽  
Control Strategy ◽  
Pid Controller ◽  
Closed Loop ◽  
Closed Loop Control ◽  
Linear Quadratic ◽  
Blank Holder ◽  
Loop Control ◽  
Stamp Forming

This paper describes the development and implementation of closed-loop control for oval stamp forming tooling using MATLAB®’s SIMULINK® and the dSPACE®CONTROLDESK®. A traditional PID controller was used for the blank holder pressure and an advanced controller utilizing fuzzy logic combining a linear quadratic gauss controller and a bang–bang controller was used to control draw bead position. The draw beads were used to control local forces near the draw beads. The blank holder pressures were used to control both wrinkling and local forces during forming. It was shown that a complex, advanced controller could be modeled using MATLAB’s SIMULINK and implemented in DSPACE CONTROLDESK. The resulting control systems for blank holder pressures and draw beads were used to control simultaneously local punch forces and wrinkling during the forming operation thereby resulting in a complex control strategy that could be used to improve the robustness of the stamp forming processes.

H ∞ Closed-Loop Control for Uncertain Discrete Input-Shaped Systems

2010 ◽  
Vol 132 (4) ◽  
Author(s):  
John Stergiopoulos ◽  
Anthony Tzes
Keyword(s):  
Closed Loop ◽  
Open Loop ◽  
Controller Synthesis ◽  
Linear Quadratic ◽  
Robust Controller ◽  
Loop Control ◽  
System A ◽  
Input Shaper ◽  
Uncertain Input ◽  
Plant Simulation

The article addresses the problem of stabilization for uncertain discrete input-shaped systems. The uncertainty affects the autoregressive portion of the transfer function of the system. A discrete input shaper compensator is designed in order to reduce the oscillations of the plant’s response. The input-shaped system’s dynamics are appropriately reformulated for robust controller synthesis, and a robust H∞-controller is used in an outer-loop, in order to guarantee stability of the uncertain input-shaped plant. Simulation results confirm the efficacy of the proposed combined scheme in comparison with open-loop input shaping and closed-loop linear quadratic control.

scholarly journals Linear Quadratic Gaussian-Based Closed-Loop Control of Type 1 Diabetes

2007 ◽  
Vol 1 (6) ◽  
pp. 834-841 ◽  
Author(s):  
Stephen D. Patek ◽  
Marc D. Breton ◽  
Yuanda Chen ◽  
Chad Solomon ◽  
Boris Kovatchev
Keyword(s):  
Type 1 Diabetes ◽  
Closed Loop ◽  
Closed Loop Control ◽  
Linear Quadratic ◽  
Linear Quadratic Gaussian ◽  
Loop Control
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