Summary of Discussion Prediction of the Optimal Control Sequence

1966 ◽  
pp. 28-31
Author(s):  
V. N. Novoseltsev
Keyword(s):  
Optimal Control ◽  
Control Sequence

scholarly journals An investigation of a high-speed ground manoeuvre under optimal control

2019 ◽  
Vol 233 (12) ◽  
pp. 4363-4379 ◽  
Author(s):  
Zexin Huang ◽  
Matthew Best ◽  
James Knowles
Keyword(s):  
Optimal Control ◽  
Cost Function ◽  
High Speed ◽  
Control Algorithm ◽  
Control Sequence ◽  
Tyre Model ◽  
Centre Of Gravity ◽  
Function Combination ◽  
Simulation Time ◽  
Tyre Wear

This paper studies the behaviour of a nonlinear aircraft model under optimal control for aircraft ground manoeuvres, specifically for high-speed runway exits. The aircraft's behaviour on the ground is captured by a fully parameterised 6-DOF nonlinear model, which is developed in this work to model the effects of braking through a combined slip tyre model. A pre-defined cost function is minimised using a generalised optimal control algorithm to obtain an optimal control sequence for a particular manoeuvre-cost function combination. In this paper, three scenarios are investigated for a 45-degree high-speed runway exit: the first control sequence minimises the distance between the aircraft's centre of gravity and the runway centreline; the second maximises the distance travelled by the aircraft during the 20 s of simulation time; the third minimises tyre wear. For each scenario, the generalised optimal control algorithm provides the best possible control inputs. The dynamic response of the aircraft throughout the turn is shown to be dominated by its inertia, which suggests that future controllers will need to begin executing a turn far in advance of entering the corner. The results also provide a benchmark against which the effectiveness of future real-time controllers may be judged.

scholarly journals Predictive Control of Mobile Robot Using Kinematic and Dynamic Models

2017 ◽  
Vol 2017 ◽  
pp. 1-11 ◽  
Author(s):  
Manel Mendili ◽  
Faouzi Bouani
Keyword(s):  
Optimal Control ◽  
Mobile Robot ◽  
Predictive Control ◽  
Dynamic Models ◽  
Kinematic Model ◽  
Performance Criterion ◽  
Control Sequence ◽  
Omnidirectional Mobile Robot ◽  
Quadratic Performance ◽  
Predictive Controllers

This paper presents a predictive control of omnidirectional mobile robot with three independent driving wheels based on kinematic and dynamic models. Two predictive controllers are developed. The first is based on the kinematic model and the second is founded on the dynamic model. The optimal control sequence is obtained by minimizing a quadratic performance criterion. A comparison has been done between the two controllers and simulations have been done to show the effectiveness of the predictive control with the kinematic and the dynamic models.

Time Optimum Control of a Two Capacity Thermal Environmental System With Louvers

1979 ◽  
Vol 101 (2) ◽  
pp. 150-156
Author(s):  
Yucel Ercan
Keyword(s):  
Heat Transfer ◽  
Optimal Control ◽  
Control Algorithm ◽  
Optimum Control ◽  
Control Sequence ◽  
Thermal Systems ◽  
Environmental System ◽  
Hot Air ◽  
Time Optimal ◽  
Time Savings

An environmental system with two conditioned spaces is considered. Conditioned spaces are assumed to have limited heat transfer through ducts with the ambient, a cold air source and a hot air source as well as with each other. The ducts are equipped with louvers and are idealized by variable thermal resistances. The conditions for optimal control are derived by using Pontryagin’s maximum principle. The control action is shown to be of bang-bang type. A method which makes use of the behavior of the costate variables is used to determine the optimal control sequence. Solutions for a typical physical system show that the time optimal control is achieved by switching the control variables at most two times. The state space is divided into eight regions and within each region one and the same control algorithm applies. The results also show that time optimum control of two capacity thermal systems leads to energy as well as time savings if the two capacities are interconnected by a controllable thermal resistance.

scholarly journals Asymptotic Analysis of a Deterministic Control System via Euler's Equation Approach

2018 ◽  
Vol 10 (1) ◽  
pp. 115
Author(s):  
Gladys Denisse Salgado Suárez ◽  
Hugo Cruz-Suárez ◽  
José Dionicio Zacar´ias Flores
Keyword(s):  
Optimal Control ◽  
Control System ◽  
Equilibrium Point ◽  
Necessary Conditions ◽  
Equation Approach ◽  
Unique Equilibrium ◽  
Control Sequence ◽  
Euler’S Equation ◽  
Euler's Equation ◽  
Deterministic Control

This paper provides necessary conditions in order to guarantee the existence of an unique equilibrium point in a deterministic control system. Furthermore, under additional conditions, it is proved the convergence of the optimal control sequence to this equilibrium point. The methodology to obtain these statements is based on the Euler's equation approach. A consumption-investment problem is presented with the objective to illustrate the results exposed.

scholarly journals Dynamic Programming in Data Driven Model Predictive Control

2021 ◽  
Vol 20 ◽  
pp. 170-177
Author(s):  
Wang Jianhong
Keyword(s):  
Optimal Control ◽  
Dynamic Programming ◽  
Model Predictive Control ◽  
Cost Function ◽  
Predictive Control ◽  
Short Note ◽  
Data Driven ◽  
Programming System ◽  
Control Sequence ◽  
Actual Output

In this short note, one data driven model predictive control is studied to design the optimal control sequence. The idea of data driven means the actual output value in cost function for model predictive control is identi_ed through input-output observed data in case of unknown but bounded noise and martingale di_erence sequence. After substituting the identi_ed actual output in cost function, the total cost function in model predictive control is reformulated as the other standard form, so that dynamic programming can be applied directly. As dynamic programming is only used in optimization theory, so to extend its advantage in control theory, dynamic programming algorithm is proposed to construct the optimal control sequence. Furthermore, stability analysis for data drive model predictive control is also given based on dynamic programming strategy. Generally, the goal of this short note is to bridge the dynamic programming, system identi_cation and model predictive control. Finally, one simulation example is used to prove the e_ciency of our proposed theory

scholarly journals Averaged No-Regret Control for an Electromagnetic Wave Equation Depending upon a Parameter with Incomplete Initial Conditions

2021 ◽  
Author(s):  
Abdelhak Hafdallah ◽  
Mouna Abdelli
Keyword(s):  
Optimal Control ◽  
Wave Equation ◽  
Electromagnetic Wave ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Initial Conditions ◽  
Control Sequence ◽  
Potential Term ◽  
Average Control ◽  
Optimality Systems

This chapter concerns the optimal control problem for an electromagnetic wave equation with a potential term depending on a real parameter and with missing initial conditions. By using both the average control notion introduced recently by E. Zuazua to control parameter depending systems and the no-regret method introduced for the optimal control of systems with missing data. The relaxation of averaged no-regret control by the averaged low-regret control sequence transforms the problem into a standard optimal control problem. We prove that the problem of average optimal control admits a unique averaged no-regret control that we characterize by means of optimality systems.

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