Optimal Design and Control of a Rotating Flexible Arm With ACLD Treatment

Aerospace ◽  
2003 ◽  
Author(s):  
E. H. K. Fung ◽  
D. T. W. Yau
Keyword(s):  
Optimal Control ◽  
Optimal Design ◽  
Shear Modulus ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Performance Index ◽  
Flexible Arm ◽  
Design Variables ◽  
And Control ◽  
Optimal Design And Control

In this paper, the optimal design and control of a rotating clamped-free flexible arm with fully covered active constrained layer damping (ACLD) treatment are studied. The arm is rotating in a horizontal plane in which the gravitational effect and rotary inertia are neglected. The piezo-sensor voltage is fed back to the piezo-actuator via a PD controller. Finite element method (FEM) in conjunction with Hamilton’s principle is used to derive the governing equations of motion of the system which takes into account the effects of centrifugal stiffening due to the rotation of the beam. The damping behavior of the viscoelastic material (VEM) is modeled using the complex shear modulus method. The design optimization objective is to maximize the sum of the first three open-loop modal damping ratios divided by the weight of the damping treatment. A genetic algorithm, differential evolution (DE), combined with a gradient-based algorithm, sequential quadratic programming (SQP), is used to determine the optimal design variables such as the thickness and storage shear modulus of the VEM core. Next for the determined optimal design variables, the optimal control problem is performed to determine the optimal control gains which minimize a quadratic performance index. The control performance index is normalized with respect to the initial conditions and the optimal control problem is posed to solve a min-max optimization problem. The results of this study will be useful in the optimal design and control of adaptive and smart rotating structures such as rotorcraft blades or robotic arms.

scholarly journals Delayed Stochastic Linear-Quadratic Control Problem and Related Applications

2012 ◽  
Vol 2012 ◽  
pp. 1-22 ◽  
Author(s):  
Li Chen ◽  
Zhen Wu ◽  
Zhiyong Yu
Keyword(s):  
Optimal Control ◽  
Differential Equations ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Stochastic Differential Equations ◽  
Backward Stochastic Differential Equations ◽  
Delay System ◽  
Linear Quadratic ◽  
Stochastic Linear System ◽  
And Control

We discuss a quadratic criterion optimal control problem for stochastic linear system with delay in both state and control variables. This problem will lead to a kind of generalized forward-backward stochastic differential equations (FBSDEs) with Itô’s stochastic delay equations as forward equations and anticipated backward stochastic differential equations as backward equations. Especially, we present the optimal feedback regulator for the time delay system via a new type of Riccati equations and also apply to a population optimal control problem.

scholarly journals A global method for some class of optimization and control problems

2000 ◽  
Vol 23 (9) ◽  
pp. 605-616 ◽  
Author(s):  
R. Enkhbat
Keyword(s):  
Optimal Control ◽  
Optimal Control Problem ◽  
Convex Function ◽  
Control Problem ◽  
Optimality Condition ◽  
Optimal Control Problems ◽  
Control Problems ◽  
Global Method ◽  
Optimization And Control ◽  
And Control

The problem of maximizing a nonsmooth convex function over an arbitrary set is considered. Based on the optimality condition obtained by Strekalovsky in 1987 an algorithm for solving the problem is proposed. We show that the algorithm can be applied to the nonconvex optimal control problem as well. We illustrate the method by describing some computational experiments performed on a few nonconvex optimal control problems.

scholarly journals Optimal control theory with general constraints

1981 ◽  
Vol 23 (2) ◽  
pp. 115-126 ◽  
Author(s):  
John M. Blatt
Keyword(s):  
Optimal Control ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Optimal Control Theory ◽  
Time Dependent ◽  
Necessary Condition ◽  
Sufficient Condition ◽  
General Constraints ◽  
Elementary Methods ◽  
And Control

AbstractWe consider an optimal control problem with, possibly time-dependent, constraints on state and control variables, jointly. Using only elementary methods, we derive a sufficient condition for optimality. Although phrased in terms reminiscent of the necessary condition of Pontryagin, the sufficient condition is logically independent, as can be shown by a simple example.

A morley finite element method for an elliptic distributed optimal control problem with pointwise state and control constraints

2018 ◽  
Vol 24 (3) ◽  
pp. 1181-1206 ◽  
Author(s):  
Susanne C. Brenner ◽  
Thirupathi Gudi ◽  
Kamana Porwal ◽  
Li-yeng Sung
Keyword(s):  
Finite Element Method ◽  
Optimal Control ◽  
Finite Element ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Control Constraints ◽  
Distributed Optimal Control ◽  
And Control ◽  
State And Control Constraints ◽  
Element Method

We design and analyze a Morley finite element method for an elliptic distributed optimal control problem with pointwise state and control constraints on convex polygonal domains. It is based on the formulation of the optimal control problem as a fourth order variational inequality. Numerical results that illustrate the performance of the method are also presented.

An improved footprint generation method for entry vehicles

2016 ◽  
Vol 231 (10) ◽  
pp. 1951-1956 ◽  
Author(s):  
Tao Wang ◽  
Hongbo Zhang ◽  
Yongyuan Li ◽  
Guojian Tang
Keyword(s):  
Optimal Control ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Coordinate Transformation ◽  
Performance Index ◽  
Engineering Application ◽  
Control Law ◽  
Bank Angle ◽  
Root Finding ◽  
Important Index

Entry landing footprint is an important index of the flight capability of an entry vehicle. Footprint generation methods can be classified into three categories, namely, methods based on the interpolation of the drag profile, methods based on the maximum cross-range, and methods based on virtual targets. This paper proposes a procedure for improving the methods based on virtual targets method by avoiding the problem of setting virtual targets. Taking the cross-range of the vehicle as the performance index, the optimal control law is used to develop the bank angle control law. Through coordinate transformation, the optimal control problem is transformed into a univariate root-finding problem that is similar to the result of the methods based on virtual targets method. But the method in the paper is more convenient for engineering application. At last, the footprint of the EG13 mission of X-33 is generated.

Ant Colony Optimization for Optimal Control in Manufacturing Engineering

2013 ◽  
Vol 340 ◽  
pp. 273-276
Author(s):  
Jie Bai ◽  
Li Zu ◽  
Wei Liu
Keyword(s):  
Optimal Control ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Ant Colony Optimization ◽  
Heuristic Algorithm ◽  
Numerical Results ◽  
Ant Colony ◽  
Control Input ◽  
Algorithm Optimization ◽  
And Control

A meta-heuristic algorithm optimization, Ant Colony Optimization, is used to solve a general optimal control problem. Ant Colony Optimization is introduced briefly in this paper. The disc resection of the control time and control input is investigated. A piece wise interval is considered in the converting. And the simulation in numerical results show this strategy is feasible and effective.

scholarly journals Energy saving optimal design and control of electromagnetic brake on passenger car

2019 ◽  
Vol 10 (1) ◽  
pp. 57-70
Author(s):  
Donghai Hu ◽  
Yanzhi Yan ◽  
Xiaoming Xu
Keyword(s):  
Energy Consumption ◽  
Optimal Design ◽  
Energy Saving ◽  
Prediction Models ◽  
Control Method ◽  
Optimal Solution ◽  
Electromagnetic Brake ◽  
Design Variables ◽  
And Control ◽  
Optimal Design And Control

Abstract. In this paper, the optimal design and control method of electromagnetic brake for a typical city driving cycle are studied to improve its energy consumption characteristics. The prediction models of the braking performance and power consumption for electromagnetic brake were established, and their accuracies were verified on the hardware of the loop simulation platform. Moreover, the energy consumption based on the ECE-EUDC driving condition was taken as the objective function, and a mathematical model for the optimal design of the electromagnetic brake was established. Genetic Algorithm was used to seek global optimal solution of these design variables on the premise of the given electrical and space constraints. Finally, the effect of thermodynamic properties of electromagnetic brake on the energy consumption characteristics was analyzed, and the energy saving control method of electromagnetic brake was also proposed. Experimental results show that the energy saving optimal design and control that this paper investigates can significantly improve the energy efficiency of electromagnetic brake.

scholarly journals Integrated Optimal Design and Control of Fourth Generation District Heating Networks with Thermal Energy Storage

Energies ◽  
2019 ◽  
Vol 12 (14) ◽  
pp. 2766 ◽  
Author(s):  
van der Heijde ◽  
Annelies Vandermeulen ◽  
Salenbien ◽  
Helsen
Keyword(s):  
Optimal Control ◽  
Energy Storage ◽  
Optimal Design ◽  
Thermal Energy ◽  
Thermal Energy Storage ◽  
District Heating ◽  
Energy System ◽  
And Control ◽  
Heating Networks ◽  
Optimal Design And Control

In the quest to increase the share of renewable and residual energy sources in our energy system, and to reduce its greenhouse gas emissions, district heating networks and seasonal thermal energy storage have the potential to play a key role. Different studies prove the techno-economic potential of these technologies but, due to the added complexity, it is challenging to design and control such systems. This paper describes an integrated optimal design and control algorithm, which is applied to the design of a district heating network with solar thermal collectors, seasonal thermal energy storage and excess heat injection. The focus is mostly on the choice of the size and location of these technologies and less on the network layout optimisation. The algorithm uses a two-layer program, namely with a design optimisation layer implemented as a genetic algorithm and an optimal control evaluation layer implemented using the Python optimal control problem toolbox called modesto. This optimisation strategy is applied to the fictional district energy system case of the city of Genk in Belgium. We show that this algorithm can find optimal designs with respect to multiple objective functions and that even in the cheaper, less renewable solutions, seasonal thermal energy storage systems are installed in large quantities.

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