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Unified Framework for Secured Energy Resource Management in Smart Grid
Published in Hussein T. Mouftah, Melike Erol-Kantarci, Smart Grid, 2017
Guobin Xu, Paul Moulema, Linqang Ge, Houbing Song, Wei Yu
Control theory is an interdisciplinary system of research to study the behavior of dynamic systems having one or more inputs and outputs. A dynamic control system comprises an external input referred to as the reference and a controller that manipulates or compensates the inputs of the system to obtain the desired effect on the output. The aim of applying the control theory in the smart grid is to achieve the grid system stability through appropriate actions in the feedback loop with controller in response to disturbances and deviation from a set point. There are different types of control systems, including open loop control, closed loop control, feedback control, and feedforward control systems. The open loop control has no feedback and requires the input to return to zero before the output returns to zero. The closed loop control is a self-adjusting system and also has a feedback. The feedforward control is used to limit the deviation from the stability set point and prevent disturbances. The feedback control is a reactive control that automatically compensates for disturbances and deviations. In the past, there have been numerous research efforts on applying control theory to network security [8,81–83]. For example, Cramer et al. [81] described a concept in network intrusion detection based on the statistical recognition of an intruder’s control loop. Cardenas et al. [8] studied the problem of securing control and characterized the properties required by a secure control system and the possible threats.
Product Quality Monitoring and Feedback
Published in Marlin U. Thomas, Reliability and Warranties: Methods for Product Development and Quality Improvement, 2006
The second feedback element in Figure 5.2 represents the “product” feedback. This information is derived from consumer surveys, customer complaints, and warranty claims. In control theory terms, this loop adds stability and control sensitivity provided the feedback data are received with sufficient timeliness and accuracy to allow the controller to be responsive and make adaptive changes.
Learning Engineering is Engineering
Published in Jim Goodell, Janet Kolodner, Learning Engineering Toolkit, 2023
Avron Barr, Brandt Dargue, Jim Goodell, Brandt Redd
In control theory, this is an open-loop control system , meaning that it has no feedback. To get a predictable output the controller must have a very good mathematical model of the system and the system itself must be very precise. Open-loop systems are used when the acceptable margin of error is large, for example, for a cooling fan.
Existence and approximate controllability results for second-order impulsive stochastic neutral differential systems
Published in Applicable Analysis, 2023
M. Johnson, V. Vijayakumar, Anurag Shukla, Kottakkaran Sooppy Nisar, Bipan Hazarika
Control theory is an important area of application-oriented mathematics that deals with the design and analysis of control systems. In particular, controllability is an important concept in both deterministic and stochastic control theory. The study of control problems described as abstract differential equations or inclusions has acquired a growing interest among the scientific community in recent years. Moreover, the exact controllability enables us to steer the system to arbitrary final state, while approximate controllability means that the system can be steered to arbitrary small neighborhood of final state using the set of admissible controls. The controllability of linear stochastic systems in finite-dimensional spaces has been studied in [1]. In [2], the author derived a set of sufficient conditions for the exact controllability of semilinear systems. Recently, the approximate controllability of second-order impulsive neutral stochastic integro-differential evolution inclusions with infinite delay has been carried out in [3]. For more details related with the existence, exact and approximate controllability of integer order differential systems, one can refer the articles [4–25] and exact and approximate controllability of fractional order differential systems [11,26–37].
Resilient cities critical infrastructure interdependence: a meta-research
Published in Sustainable and Resilient Infrastructure, 2022
May Haggag, Mohamed Ezzeldin, Wael El-Dakhakhni, Elkafi Hassini
Control theory is an interdisciplinary branch of engineering and mathematics that deals with the control of continuously operating dynamic processes and machine systems, and how their behaviour is modified by feedback loops (Teknomo, 2004). System dynamics simulation approach extends the toolbox of the control theory from machines to systems (How does system dynamics relate to control theory?---Quora n.d.). More specifically, system dynamics---originally developed in the 1950s, is based on the fact that any system can rely on circular, interlocking and time-delayed relationships among its comprising components (Croope & McNe, 2011). This approach was adopted to develop a decision support system that aims to reduce the vulnerability of transportation (Croope & McNe, 2011) and energy/telecommunication (Cavallini et al., 2014) systems.
A graph theory approach for regional controllability of Boolean cellular automata
Published in International Journal of Parallel, Emergent and Distributed Systems, 2020
S. Dridi, S. El Yacoubi, F. Bagnoli, A. Fontaine
Control theory is a branch of mathematics that deals with the behaviour of dynamical systems studied in terms of inputs and outputs. With the recent developments in computing, communications, and sensing technologies, the scope of control theory is rapidly evolving to encompass the increasing complexity of real-life phenomena. Controllability and observability are two major concepts of control theory that have been extensively developed during the last two centuries. The concept of controllability refers to the ability of designing control inputs so as to steer the state of the system to desired values within an interval time while the observability describes whether the internal state variables of the system can be externally measured. These concepts are being increasingly useful in a wide range of applications such as biology, biochemistry, biomedical engineering, ecology, economics, etc. [1,2]. Controllable and observable systems have been characterised so far using the Kalman condition in the linear case. The aim of this paper is to find a general way to give a necessary and sufficient condition for controllability of complex systems via cellular automata models. We concentrate in this work on regional controllability via boundary actions on the target region ω that consists in achieving an objective only in a subdomain of the lattice when some specific actions are exerted on the target region boundaries.