Multiple Set Point Partially Reduced SQP Method for Optimal Control of PDE

2007 ◽  
pp. 147-175 ◽  
Author(s):  
H. G. Bock ◽  
E. Kostina ◽  
A. Schäfer ◽  
J. P. Schlöder ◽  
V. Schulz
Keyword(s):  
Optimal Control ◽  
Sqp Method ◽  
Set Point

scholarly journals An SQP method for the optimal control of large-scale dynamical systems

2000 ◽  
Vol 120 (1-2) ◽  
pp. 197-213 ◽  
Author(s):  
Philip E. Gill ◽  
Laurent O. Jay ◽  
Michael W. Leonard ◽  
Linda R. Petzold ◽  
Vivek Sharma
Keyword(s):  
Optimal Control ◽  
Dynamical Systems ◽  
Large Scale ◽  
Sqp Method

Optimal Control of Periodic Adsorption Processes: The Newton-Picard Inexact SQP Method

2010 ◽  
pp. 361-378 ◽  
Author(s):  
A. Potschka ◽  
A. Küpper ◽  
J.P. Schlöder ◽  
H.G. Bock ◽  
S. Engell
Keyword(s):  
Optimal Control ◽  
Sqp Method ◽  
Adsorption Processes

Energy Optimal Control of Dielectric Elastomer Actuators via Adaptive Dynamic Programming

2019 ◽  
Author(s):  
Paolo Roberto Massenio ◽  
David Naso ◽  
Gianluca Rizzello
Keyword(s):  
Optimal Control ◽  
Dynamic Programming ◽  
Dielectric Elastomer ◽  
Adaptive Dynamic Programming ◽  
Set Point ◽  
Adaptive Dynamic ◽  
Strongly Nonlinear ◽  
Dielectric Elastomer Actuators ◽  
Control Scheme ◽  
Dielectric Elastomer Membrane

Abstract This paper presents an optimal motion control scheme for a mechatronic actuator based on a dielectric elastomer membrane transducer. The optimal control problem is formulated such that a desired position set-point is reached with minimum amount of driving energy, characterized via an accurate physical model of the device. Since the considered actuator is strongly nonlinear, an approximated approach is required to practically address the design of the control system. In this work, an Adaptive Dynamic Programming based algorithm is proposed, capable of minimizing a cost function related to the energy consumption of the considered system. Simulation results are presented in order to assess the effectiveness of the proposed method, for different set-point regulation scenarios.

scholarly journals A modified filter SQP method as a tool for optimal control of nonlinear systems with spatio-temporal dynamics

2012 ◽  
Vol 22 (2) ◽  
pp. 313-326 ◽  
Author(s):  
Ewaryst Rafajłowicz ◽  
Krystyn Styczeń ◽  
Wojciech Rafajłowicz
Keyword(s):  
Optimal Control ◽  
Nonlinear Systems ◽  
State Constraints ◽  
Optimal Control Problems ◽  
Temporal Dynamics ◽  
Nonlinear Partial Differential Equations ◽  
Filter Method ◽  
Sqp Method ◽  
Spatio Temporal ◽  
Filter Approach

A modified filter SQP method as a tool for optimal control of nonlinear systems with spatio-temporal dynamicsOur aim is to adapt Fletcher's filter approach to solve optimal control problems for systems described by nonlinear Partial Differential Equations (PDEs) with state constraints. To this end, we propose a number of modifications of the filter approach, which are well suited for our purposes. Then, we discuss possible ways of cooperation between the filter method and a PDE solver, and one of them is selected and tested.

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