Applications of analytic centers for the numerical solution of semiinfinite, convex programs arising in control theory

2005 ◽  
pp. 413-422 ◽  
Author(s):  
G. Sonnevend
Keyword(s):  
Control Theory ◽  
Numerical Solution ◽  
Convex Programs ◽  
Analytic Centers

Adjoint-Based Optimization Procedure for Active Vibration Control of Nonlinear Mechanical Systems

2017 ◽  
Vol 139 (8) ◽  
Author(s):  
Carmine M. Pappalardo ◽  
Domenico Guida
Keyword(s):  
Optimal Control ◽  
Control Theory ◽  
Control Problem ◽  
Numerical Solution ◽  
Optimal Control Theory ◽  
Numerical Procedure ◽  
Nonlinear Optimal Control ◽  
Open Loop ◽  
Adjoint Equations ◽  
Loop Control

In this paper, a new computational algorithm for the numerical solution of the adjoint equations for the nonlinear optimal control problem is introduced. To this end, the main features of the optimal control theory are briefly reviewed and effectively employed to derive the adjoint equations for the active control of a mechanical system forced by external excitations. A general nonlinear formulation of the cost functional is assumed, and a feedforward (open-loop) control scheme is considered in the analytical structure of the control architecture. By doing so, the adjoint equations resulting from the optimal control theory enter into the formulation of a nonlinear differential-algebraic two-point boundary value problem, which mathematically describes the solution of the motion control problem under consideration. For the numerical solution of the problem at hand, an adjoint-based control optimization computational procedure is developed in this work to effectively and efficiently compute a nonlinear optimal control policy. A numerical example is provided in the paper to show the principal analytical aspects of the adjoint method. In particular, the feasibility and the effectiveness of the proposed adjoint-based numerical procedure are demonstrated for the reduction of the mechanical vibrations of a nonlinear two degrees-of-freedom dynamical system.

Multi-Body Dynamic PD Control of Concrete Pump Truck Arm System

2009 ◽  
Vol 16-19 ◽  
pp. 806-810 ◽  
Author(s):  
Li Dai ◽  
Jian Wang ◽  
Bo Zhao ◽  
Jie Liu
Keyword(s):  
Control Theory ◽  
Numerical Solution ◽  
Dynamic Equation ◽  
Dynamic Theory ◽  
Hydraulic Cylinder ◽  
Pd Control ◽  
Concrete Pump Truck ◽  
Concrete Pump ◽  
Multi Body ◽  
Body Dynamic

For the concrete pump truck, the movements of the arm and the hydraulic cylinder are analyzed respectively with multi-body dynamic theory. And with the applying of PD control theory, the dynamic equation of arm system is also built. And according to the numerical solution of the equation, it is proved that the dynamic equation can describe every dynamic character of the concrete pump truck well.

scholarly journals Control Theory and the Numerical Solution of ODEs

2008 ◽  
Vol 8 (3) ◽  
pp. 201-222 ◽  
Author(s):  
M. P. B. Ekanayake ◽  
B. He ◽  
L. Huo ◽  
K. Kaphle ◽  
C. Martin
Keyword(s):  
Control Theory ◽  
Numerical Solution

Quality charters or quality members? A control theory perspective on team charters and team performance.

2017 ◽  
Vol 102 (10) ◽  
pp. 1462-1470 ◽  
Author(s):  
Stephen H. Courtright ◽  
Brian W. McCormick ◽  
Sal Mistry ◽  
Jiexin Wang
Keyword(s):  
Control Theory ◽  
Team Performance

Motives for the sexual double standard: A test of female control theory

2013 ◽  
Author(s):  
Laurie A. Rudman ◽  
Janell C. Fetterolf ◽  
Diana T. Sanchez
Keyword(s):  
Control Theory ◽  
Double Standard ◽  
Sexual Double Standard ◽  
Female Control
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