scholarly journals Sparse stabilization and control of alignment models

2014 ◽  
Vol 25 (03) ◽  
pp. 521-564 ◽  
Author(s):  
Marco Caponigro ◽  
Massimo Fornasier ◽  
Benedetto Piccoli ◽  
Emmanuel Trélat
Keyword(s):  
Policy Maker ◽  
Research Direction ◽  
Fundamental Question ◽  
Self Organization ◽  
Group Consensus ◽  
Future Developments ◽  
Consensus Dynamics ◽  
Time Optimal ◽  
And Control ◽  
Mathematical Justification

Starting with the seminal papers of Reynolds (1987), Vicsek et al. (1995), Cucker–Smale (2007), there has been a lot of recent works on models of self-alignment and consensus dynamics. Self-organization has so far been the main driving concept of this research direction. However, the evidence that in practice self-organization does not necessarily occur (for instance, the achievement of unanimous consensus in government decisions) leads to the natural question of whether it is possible to externally influence the dynamics in order to promote the formation of certain desired patterns. Once this fundamental question is posed, one is also faced with the issue of defining the best way of obtaining the result, seeking for the most "economical" way to achieve a certain outcome. Our paper precisely addressed the issue of finding the sparsest control strategy in order to lead us optimally towards a given outcome, in this case the achievement of a state where the group will be able by self-organization to reach an alignment consensus. As a consequence, we provide a mathematical justification to the general principle according to which "sparse is better": in order to achieve group consensus, a policy maker not allowed to predict future developments should decide to control with stronger action the fewest possible leaders rather than trying to act on more agents with minor strength. We then establish local and global sparse controllability properties to consensus. Finally, we analyze the sparsity of solutions of the finite time optimal control problem where the minimization criterion is a combination of the distance from consensus and of the ℓ1-norm of the control. Such an optimization models the situation where the policy maker is actually allowed to observe future developments. We show that the lacunarity of sparsity is related to the codimension of certain manifolds in the space of cotangent vectors.

Particle Swarm with Domain Partition and Control Assignment for Time-Optimal Maneuvers

2018 ◽  
Vol 41 (4) ◽  
pp. 968-977 ◽  
Author(s):  
Dario Spiller ◽  
Christian Circi ◽  
Fabio Curti
Keyword(s):  
Particle Swarm ◽  
Time Optimal ◽  
Domain Partition ◽  
And Control

Strategies to enhance the biodegradation of toxic compounds using discontinuous processes

2001 ◽  
Vol 43 (3) ◽  
pp. 283-290 ◽  
Author(s):  
G. Buitrón ◽  
G. Soto ◽  
G. Vite ◽  
J. Moreno
Keyword(s):  
Optimal Control ◽  
Activated Carbon ◽  
Dissolved Oxygen ◽  
Batch Reactor ◽  
Biological Degradation ◽  
Optimal Control Strategy ◽  
Measured Variable ◽  
Time Optimal ◽  
High Concentrations ◽  
And Control

This study presents two strategies used to enhance the biological degradation of phenolic wastewaters. In the first one the operation of a sequencing batch biofilter added with granular activated carbon (SBB-AC) was studied. The second strategy presents the results of the automation of a sequencing batch reactor in order to optimize the reaction phase. In this case, the dissolved oxygen was employed to monitor and control the reactor. The results of the SBB-AC system, based on the configuration of the reactor, type and size of activated carbon and size of the packing material, are discussed. The system biodegraded efficiently (total phenol removals as high as 97%) high concentrations (600 mg/l) of a mixture of phenol, 4-chlorophenol, 2,4-dichlorophenol and 2,4,6-trichlorophenol. Maximal eliminated loads of 4.33 kg COD/m3-d were achieved. For the second strategy, the applicability of an optimal control for a SBR using the dissolved oxygen as the measured variable was demonstrated. When the reactor was operated under the time-optimal control strategy, the degradation time of 4-chlorophenol was reduced. A very satisfactory operation of the reactor was observed, since the removal efficiencies were around 99%.

Emerging Technology: Remote Controlled Hot Tap System for Subsea Pipelines

2012 ◽  
Author(s):  
George Lim
Keyword(s):  
Wave Breaking ◽  
Emerging Technology ◽  
Light Weight ◽  
Direct Control ◽  
Subsequent Removal ◽  
Remotely Operated Vehicle ◽  
Controlled System ◽  
Future Developments ◽  
Subsea Pipelines ◽  
And Control

Subsea hot tapping of pipelines is performed for a variety of reasons, including tie-ins, pipeline repair, insertion of instrumentation, facilitating chemical injection or providing access for temporary isolation tools. The full hot tap process — that is, installing the hot tap assembly, performing the tap and recovering the hot tap machine — is normally conducted with diver assistance. After bolting the assembly of the machine, isolation valve and fitting to the pipeline (or machine and isolation valve to a pre-installed flanged membrane on the pipeline), the divers then operate the machine to perform the tap, under instructions from — and supervision — by hot tap technicians located on deck of the diving support vessel (DSV). Subsequent unbolting and removal of the hot tap machine is also carried out by the divers. The demands of deep water have necessitated development of a totally diver-less, remote-controlled system. Diver operations are limited to a maximum of 300 meters of water depth, whereas a significant portion of existing subsea field infrastructure, as well as projected future developments, are in deeper waters in depths up to 3,000 meters. In addition, diver safety concerns in shallow water, as well as impaired diver efficiency in difficult environmental conditions such as wave breaking zones, prompts the call for a reduction of diver exposure or complete elimination of diver assistance. The recent completion of a remote-controlled hot tap machine (Subsea 1200RC) is an important step toward developing a totally diver-less system. The installation of the hot tap assembly and subsequent removal of the machine still require diver assistance, but the performance of the tap itself is remotely controlled by a hot tap technician from the deck of the DSV. The concept is a topside-driven hot tap machine with “passive Remotely Operated Vehicle (ROV) interface”, which means a stationary ROV with its hydraulics and control system is attached to the hot tap machine and operated from an onboard laptop. This results in a light weight hot tap frame and total direct control of the cutting process. The machine has been designed, built, tested and successfully deployed on a recent subsea tap for a pipeline operator in Asia. This technology promotes the “separation of man and machine” proposition. It reduces risk by reducing diver exposure, enhances safety, provides direct control and visibility from a laptop and facilitates fast and accurate execution. Ultimately, the concept may be extended toward onshore hot tap applications in risky environments calling for remotely operated systems. Diverless tapping is now also qualified and offered by others.

scholarly journals Discrete-Time Optimal Attitude Control of a Spacecraft with Momentum and Control Constraints

2018 ◽  
Vol 41 (1) ◽  
pp. 199-211 ◽  
Author(s):  
Karmvir Singh Phogat ◽  
Debasish Chatterjee ◽  
Ravi Banavar
Keyword(s):  
Discrete Time ◽  
Attitude Control ◽  
Control Constraints ◽  
Time Optimal ◽  
And Control

scholarly journals Schools Management in the Complex Thinking Perspective

2016 ◽  
Vol 7 (2) ◽  
pp. 17
Author(s):  
Ana Maria Di Grado Hessel ◽  
Ivani Catarina Arantes Fazenda
Keyword(s):  
Living System ◽  
Self Organization ◽  
Collective Agreement ◽  
Complex Thinking ◽  
Collective Work ◽  
Proposal A ◽  
And Control ◽  
Theory Of Complexity ◽  
Coordination And Control

The scope of this Paper is to clarify the unfolding of Complex Thinking concerning the role of management, as a result of a research carried out in some Brazilian Governmental Schools, where the dialogical movements were understood in the whole context in which the linear and systemic aspects coexisted. The studies of the theory of Complexity are the bases of the reflections on the management action, enabling articulation toward the self-organization of the group. It is observed by many researchers that the action of the manager usually encompasses the role of a planner of the work, with rational use of the resources and articulation of the means to reach the targets of the institution, in addition to the role of coordination and control of people´s work. That has shown not to be enough to meet the challenges of the world nowadays. The processes of management may get different meanings: under a technicist conception, management is often centralized, decisions come from the top without participation of the other levels; under a more democratic conception, the process is more participative, and decision is collective. In this view, the manager is expected to promote collective work, encourage the participation of the different subjects of the team and institution community, establish co-responsibility and assure the construction and implementation of a proposal – a set of intentions – a collective agreement. To be able to do so, the manager should be prepared to perceive the team as a living system, able of self-organization, as well as the linear and systemic aspects in permanent balance.

The Application of Cell Mapping to Dynamic Modeling and Control

2014 ◽  
Vol 687-691 ◽  
pp. 661-664
Author(s):  
Ling Li Guo ◽  
Ye Wang
Keyword(s):  
System Modeling ◽  
Cell Mapping ◽  
Blast Temperature ◽  
Modeling And Control ◽  
Dynamical System Modeling ◽  
Time Optimal ◽  
Point Control ◽  
Set Point Control ◽  
And Control ◽  
Input Level

A dynamical system modeling method based on cell mapping is proposed in order to describe the system statistic property, and then a discrete optimal control table is constructed through each state cell excited by all input level recording the optimal cost value at the same time. Finally, a demonstration of the method is shown for the time optimal blast temperature set point control of a sintering machine.

Real-Time Optimal Coherent Phantom Track Generation via the Virtual Motion Camouflage Approach

2011 ◽  
Vol 133 (5) ◽  
Author(s):  
Yunjun Xu ◽  
Gareth Basset
Keyword(s):  
Real Time ◽  
Computational Cost ◽  
Inequality Constraints ◽  
Early Termination ◽  
Planning Problem ◽  
Motion Camouflage ◽  
Equality And Inequality Constraints ◽  
Time Optimal ◽  
And Control ◽  
Air Vehicles

Coherent phantom track generation through controlling a group of electronic combat air vehicles is currently an area of great interest to the defense agency for the purpose of deceiving a radar network. However, generating an optimal or even feasible coherent phantom trajectory in real-time is challenging due to the high dimensionality of the problem and severe geometric, as well as state, control, and control rate constraints. In this paper, the bio-inspired virtual motion camouflage based methodology, augmented with the derived early termination condition, is investigated to solve this constrained collaborative trajectory planning problem in two approaches: centralized (one optimization loop) and decentralized (two optimization loops). Specifically, in the decentralized approach, the first loop finds feasible phantom tracks based on the early termination condition and the equality and inequality constraints of the phantom track. The second loop uses the virtual motion camouflage method to solve for the optimal electronic combat air vehicle trajectories based on the feasible phantom tracks obtained in the first loop. Necessary conditions are proposed for both approaches so that the initial and final velocities of the phantom and electronic combat air vehicles are coherent. It is shown that the decentralized approach can solve the problem much faster than the centralized one, and when the decentralized approach is applied, the computational cost remains roughly the same for the cases when the number of nodes and/or the number of electronic combat air vehicles increases. It is concluded that the virtual motion camouflage based decentralized approach has promising potential for usage in real-time implementation.

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