Observing the State of a Linear System

A reflection of our ultimate understanding of a complex system is our ability to control its behavior. Typically, control has multiple prerequisites: it requires an accurate map of the network that governs the interactions between the system's components, a quantitative description of the dynamical laws that govern the temporal behavior of each component, and an ability to influence the state and temporal behavior of a selected subset of the components. With deep roots in nonlinear dynamics and control theory, notions of control and controllability have taken a new life recently in the study of complex networks, inspiring several fundamental questions: What are the control principles of complex systems? How do networks organize themselves to balance control with functionality? To address these here we review recent advances on the controllability and the control of complex networks, exploring the intricate interplay between a system's structure, captured by its network topology, and the dynamical laws that govern the interactions between the components. We match the pertinent mathematical results with empirical findings and applications. We show that uncovering the control principles of complex systems can help us explore and ultimately understand the fundamental laws that govern their behavior.

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“…For an LTI system (67a, 67b), we can easily design the so-called Luenberger observer (Luenberger, 1964(Luenberger, , 1966(Luenberger, , 1971…”

Section: Observer Designmentioning

confidence: 99%

Control principles of complex systems

Liu¹,

Barabási²

2016

Rev. Mod. Phys.

533

349

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“…The idea of using a dynamic system, called an observer, to estimate system state vectors was introduced by Luenberger in 1964 [26][27] [28] and further developed by him later in 1966 [29]. In many control system designs it is assumed that the system state vectors are available by direct measurement, however this is not the case in many practical cases.…”

Section: History Of Observermentioning

confidence: 99%

Sliding mode observation of capacitor voltage in multilevel power converters

Almaleki

Wheeler

Clare

2010

5th IET International Conference on Power Electronics, Machines and Drives (PEMD 2010)

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Smart power supply grids may be required to link future energy production and consumers.Multilevel converters are a building block for smart grids. There are several structures of multilevel converters, for example the Neutral Point Clamped (NPC), the Flying Capacitor Circuit and the Cascaded H-Bridge (CHB) converter. The modular structure of the CHB multilevel converter makes it one of the best options for smart grids. Using modular converter structures reduces production and maintenance costs.Implementation of efficient and fast controllers for multilevel converters requires accurate measurement of the voltages and currents for the system feedback loops. Knowledge of the DC link voltages is necessary to construct voltage control loops. In a typical CHB multilevel converter there are many DC links which means that a lot of voltage transducers maybe required.Voltage transducers at medium voltage are not easy to implement and add to system cost. This thesis presents an efficient way to observe the DC link voltages and hence eliminate the cost associated with voltage transducers. A "Sliding Mode Observer (SMO) using the Equivalent Control Method" has been chosen because of its robustness against system uncertainties.Simulation and practical work has been performed on a three-phase, three-cell multilevel converter to validate the use of this observer.ii

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“…:,: An antiaircraft gunner model based on the Luenberger full-order observer theory [2] was developed and documented in a previous report [3]. In this report, the Luenberger reduced-order observer theory [4], [5] is applied to develop a tracker model for AAA compensatory tracking task.…”

Section: Securit T\lassification Of This Page(fhon Data Entered)mentioning

confidence: 99%