scholarly journals Research on a New Process of Agile Turn with Engine Reignition Based on Optimal Control

Complexity ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-18
Author(s):  
Kang Niu ◽  
Jianqiao Yu ◽  
Xi Chen ◽  
Di Yang ◽  
Ziyuan Li
Keyword(s):  
Optimal Control ◽  
Numerical Simulations ◽  
Terminal Velocity ◽  
Optimal Timing ◽  
Control Laws ◽  
Deceleration Phase ◽  
New Process ◽  
Traditional Process ◽  
Turning Radius

A new process of agile turn with engine reignition is proposed in this paper. Compared with the traditional process, this process includes deceleration phase, larger angle manoeuvre phase, and engine reignition phase. Firstly, the paper describes the new process of agile turn. Then, several constraints in this process are described. Considering all these constraints and assumptions, a new dynamic model including two-stage engine and deceleration parachute is established. Then, the optimal control laws are designed and the timing point determination of the secondary engine ignition is discussed. By using Pontryagin principle, the optimal control laws for each actuator are derived. In terms of determining the optimal timing point of the secondary engine ignition, the paper gives the process of proof. Finally, several numerical simulations are given to demonstrate the effectiveness of the method proposed in this paper. According to all these numerical simulations, it is obvious that the new process of agile turn proposed in this paper is better than traditional process especially in having a smaller turning radius, a shorter turning time, and a high terminal velocity.

Optimal control determination of MMA polymerization in non-isothermal batch reactor using bifunctional initiator

2005 ◽  
Vol 41 (12) ◽  
pp. 2893-2908 ◽  
Author(s):  
Simant R. Upreti ◽  
Baranitharan S. Sundaram ◽  
Ali Lohi
Keyword(s):  
Optimal Control ◽  
Batch Reactor ◽  
Mma Polymerization

Mathematical modeling and optimal control of corruption dynamics

2018 ◽  
Vol 11 (06) ◽  
pp. 1850090 ◽  
Author(s):  
S. Athithan ◽  
Mini Ghosh ◽  
Xue-Zhi Li
Keyword(s):  
Mathematical Modeling ◽  
Optimal Control ◽  
Developing Countries ◽  
Numerical Simulations ◽  
Equilibrium Point ◽  
Present Model ◽  
Control Model ◽  
Asymptotically Stable ◽  
Epidemiological Modeling ◽  
Control Of Corruption

The problem of corruption is of serious concern in all the nations, more so in the developing countries. This paper presents the formulation of a corruption control model and its analysis using the theory of differential equations. We found the equilibria of the model and stability of these equilibria are discussed in detail. The threshold quantity [Formula: see text] which has a similar implication here as in the epidemiological modeling is obtained for the present model. The corruption free equilibrium is found to be stable when [Formula: see text] is less than [Formula: see text] and unstable for [Formula: see text]. The endemic equilibrium which signifies the presence of corrupted individuals in the society exists only when [Formula: see text]. This equilibrium point is locally asymptotically stable whenever it exists. We perform extensive numerical simulations to support the analytical findings. Furthermore, we extend the model to include optimal control and the optimal control profile is obtained to get the maximum control within a stipulated period of time. Our presented results show that the level of corruption in the society can be reduced if corruption control efforts through media/punishments etc. are increased and put in place.

Maximum load determination of nonholonomic mobile manipulator using hierarchical optimal control

Robotica ◽  
2011 ◽  
Vol 30 (1) ◽  
pp. 53-65 ◽  
Author(s):  
M. H. Korayem ◽  
V. Azimirad ◽  
H. Vatanjou ◽  
A. H. Korayem
Keyword(s):  
Optimal Control ◽  
Degrees Of Freedom ◽  
Large Scale ◽  
Maximum Load ◽  
Mobile Manipulator ◽  
Interaction Terms ◽  
Different Types ◽  
Interaction Variables ◽  
Maximum Allowable Dynamic Load

SUMMARYThis paper presents a new method using hierarchical optimal control for path planning and calculating maximum allowable dynamic load (MADL) of wheeled mobile manipulator (WMM). This method is useful for high degrees of freedom WMMs. First, the overall system is decoupled to a set of subsystems, and then, hierarchical optimal control is applied on them. The presented algorithm is a two-level hierarchical algorithm. In the first level, interaction terms between subsystems are fixed, and in the second level, the optimization problem for subsystems is solved. The results of second level are used for calculating new estimations of interaction variables in the first level. For calculating MADL, the load on the end effector is increased until actuators get into saturation. Given a large-scale robot, we show how the presenting in distributed hierarchy in optimal control helps to find MADL fast. Also, it enables us to treat with complicated cost functions that are generated by obstacle avoidance terms. The effectiveness of this approach on simulation case studies for different types of WMMs as well as an experiment for a mobile manipulator called Scout is shown.

Optimal Control Laws for Axially Symmetric Solar Sails

2005 ◽  
Vol 42 (6) ◽  
pp. 1130-1133 ◽  
Author(s):  
Giovanni Mengali ◽  
Alessandro A. Quarta
Keyword(s):  
Optimal Control ◽  
Axially Symmetric ◽  
Solar Sails ◽  
Control Laws

scholarly journals Minimum and terminal velocities in projectile motion

2004 ◽  
Vol 26 (2) ◽  
pp. 125-127 ◽  
Author(s):  
E.N. Miranda ◽  
S. Nikolskaya ◽  
R. Riba
Keyword(s):  
Gravitational Field ◽  
Numerical Simulations ◽  
Drag Force ◽  
Initial Velocity ◽  
Terminal Velocity ◽  
Initial Speed ◽  
Projectile Motion ◽  
Minimum Speed ◽  
Minimum Velocity

The motion of a projectile with horizontal initial velocity V0, moving under the action of the gravitational field and a drag force is studied analytically. As it is well known, the projectile reaches a terminal velocity Vterm. There is a curious result concerning the minimum speed Vmin; it turns out that the minimum velocity is lower than the terminal one if V0 > Vterm and is lower than the initial one if V0 < Vterm. These results show that the velocity is not a monotonous function. If the initial speed is not horizontal, there is an angle range where the velocity shows the same behavior mentioned previously. Out of that range, the velocity is a monotonous function. These results comes out from numerical simulations.

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