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On opinion dynamics in heterogeneous networks

On opinion dynamics in heterogeneous networks

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作者： Mirtabatabaei, Anahita Bullo, Francesco Center for Control Dynamical Systems and Computation University of California Santa Barbara Santa Barbara CA 93106 United States

ISBN: (纸本)9781457700804

This paper studies the opinion dynamics model recently introduced by Hegselmann and Krause: each agent in a group maintains a real number describing its opinion;and each agent updates its opinion by averaging all other opinions that are within some given confidence range. The confidence ranges are distinct for each agent. This heterogeneity and state-dependent topology leads to poorly-understood complex dynamic behavior. We classify the agents via their interconnection topology and, accordingly, compute the equilibria of the system. We conjecture that any trajectory of this model eventually converges to a steady state under fixed topology. To establish this conjecture, we derive two novel sufficient conditions: both conditions guarantee convergence and constant topology for infinite time, while one condition also guarantees monotonicity of the convergence. In the evolution under fixed topology for infinite time, we define leader groups that determine the followers' rate and direction of convergence. © 2011 AACC American Automatic control Council.

关键词： Topology

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Path planning for a UAV performing reconnaissance of static ground targets in terrain

Path planning for a UAV performing reconnaissance of static ...

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作者： Obermeyer, Karl J. Center for Control Dynamical Systems and Computation University of California at Santa Barbara Santa Barbara CA 93106 United States

ISBN: (纸本)9781563479786

In this article we consider a path planning problem for a single fixed-wing aircraft performing an ISR (Intelligence Surveillance Reconnaissance) mission using EO (Electro- Optical) camera(s). We give a mathematical formulation of the general aircraft visual reconnaissance problem for static ground targets in terrain and show that, under simplifying assumptions, it can be reduced to a variant of the Traveling Salesman Probem which we call the PVDTSP (Polygon-Visiting Dubins Traveling Salesman Problem). We design a genetic algorithm to solve the PVDTSP and validate it in a Monte Carlo numerical study. For fixed computation time, the genetic algorithm produces reconnaissance tours on average nearly half the length (and thus can be flown in half the time) of those delivered by a random search. The modular design of the genetic algorithm allows it to easily be extended to handle realistic assumptions such as wind and airspace constraints. Copyrflight © 2009 by Barron Associates, Inc. Published by the American Institute of Aeronautics and Astronautics, Inc.

关键词： Genetic algorithms

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Experimental validation and control of Laboratory aerial system by IC741-IOPID and IC741-FOP Iλ controllers: An Analog approach 11

Experimental validation and control of Laboratory aerial sys...

引用

11th International Conference on Computing, Communication and Networking Technologies, ICCCNT 2020

作者： Valluru, Sudarshan K. Kumar, Gaurav Kumar, Rajul Meena, Ankit Lal Center for Control of Dynamical Systems and Computation Delhi Technological University Dept. of Electrical Engineering Delhi110042 India

ISBN: (纸本)9781728168517

As control and trajectory tracking of hovering aerial vehicles are remarkable objective among researchers and industries. So in this paper, a validated attempt is made to achieve the precise and desired control of the Twin Rotor Aerial System (TRAS) over is motion in horizontal as well as vertical planes. To obtain pitch and yaw angles stabilization and desired trajectory tracking of TRAS the IO-PID and fractional order FOP I-{ lambda} controllers are designed using IC741 operational amplifiers. The designing and transforming integer order scheme into fractional-order crone1 and continued fraction expansion (CFE) methods are used, which ultimately replace feedback capacitor in I-{ lambda} control scheme with an RC ladder fractance device. The designed controllers are tested with a defined disturbance provided to pitch and yaw trajectories and the time taken by both the controllers are compared for testing of stabilization control performances. It is observed from results that IC741-I-{ lambda} controller gives better trajectory tracking and stabilization than IC741-IOPID. © 2020 IEEE.

关键词： controllers

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On the critical coupling strength for Kuramoto oscillators

On the critical coupling strength for Kuramoto oscillators

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作者： Dörfler, Florian Bullo, Francesco Center for Control Dynamical Systems and Computation University of California at Santa Barbara Santa Barbara CA 93106 United States

ISBN: (纸本)9781457700804

The celebrated Kuramoto model captures various synchronization phenomena in biological and man-made dynamical systems of coupled oscillators. It is well-known that there exists a critical coupling strength among the oscillators at which a phase transition from incoherency to synchronization occurs. This paper features three contributions. First, we characterize and distinguish the different notions of synchronization used throughout the literature and formally introduce the concept of phase cohesiveness as an analysis tool and performance index for synchronization. Second, we review the vast literature providing necessary, sufficient, implicit, and explicit estimates of the critical coupling strength in the finite and infinite-dimensional case. Finally, we present the first explicit necessary and sufficient condition on the critical coupling strength to achieve synchronization in the finite-dimensional Kuramoto model for an arbitrary distribution of the natural frequencies. The multiplicative gap in the synchronization condition yields a practical stability result determining the admissible initial and the guaranteed ultimate phase cohesiveness as well as the guaranteed asymptotic magnitude of the order parameter. © 2011 AACC American Automatic control Council.

关键词： Synchronization

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Synchronization and transient stability in power networks and non-uniform Kuramoto oscillators

Synchronization and transient stability in power networks an...

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作者： Dörfler, Florian Bullo, Francesco Center for Control Dynamical Systems and Computation University of California at Santa Barbara Santa Barbara CA 93106 United States

ISBN: (纸本)9781424474264

Motivated by recent interest for multi-agent systems and smart grid architectures, we discuss the synchronization problem for the network-reduced model of a power system with non-trivial transfer conductances. Our key insight is to exploit the relationship between the power network model and a first-order model of coupled oscillators. Assuming overdamped generators (possibly due to local excitation controllers), a singular perturbation analysis shows the equivalence between the classic swing equations and a non-uniform Kuramoto model characterized by multiple time constants, non-homogeneous coupling, and non-uniform phase shifts. By extending methods from synchronization theory and consensus protocols, we establish sufficient conditions for synchronization of non-uniform Kuramoto oscillators. These conditions reduce to and improve upon previously-available tests for the classic Kuramoto model. By combining our singular perturbation and Kuramoto analyses, we derive concise and purely algebraic conditions that relate synchronization and transient stability of a power network to the underlying network parameters and initial conditions. © 2010 AACC.

关键词： Synchronization

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Accuracy and decision time for decentralized implementations of the sequential probability ratio test

Accuracy and decision time for decentralized implementations...

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作者： Dandach, Sandra Hala Carli, Ruggero Bullo, Francesco Center for Control Dynamical Systems and Computation University of California at Santa Barbara Santa Barbara CA 93106 United States

ISBN: (纸本)9781424474264

This paper focuses on decentralized decision making in a population of individuals each implementing the sequential probability ratio test. The individual decisions are combined by a fusion center into a collective decision via an aggregation rule. For distinct aggregation rules, we study how the population size affects the performance of the collective decision making, i.e., the decision accuracy and time. We analyze two aggregation rules, the fastest rule and the majority rule. In the fastest rule, the group decision is equal to the first decision made by any individual. In the majority rule, the group decision is equal to the majority of the decisions. Under the assumption of measurement independence among individuals, we introduce a novel numerical representation of the performance of decentralized decision making. We study our settings analytically as well as numerically. Our numerical results and simulations characterize the tradeoff between accuracy and decision time as a function of the population size. © 2010 AACC.

关键词： Decision making

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Stochastic strategies for survival: Bacterial competence in Bacillus subtilis

Stochastic strategies for survival: Bacterial competence in ...

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作者： Dandach, Sandra H. Khammash, Mustafa Center for Control Dynamical Systems and Computation University of California at Santa Barbara Santa Barbara CA 93106 United States

ISBN: (纸本)9781457700804

Under stressful environments, organisms take actions that help them protect their DNA. An example of such actions is the stochastic switching that Bacillus subtilis undergoes, in which it goes from the vegetative state to a competent state. When in competence, the cell has an increased ability to bind to and internalize exogenous DNA. This increases the chances of survival of a cell. Competence is nonetheless an expensive state for the cell to be in, so the decision to switch undergoes a very delicate regulation. A major player in controlling the switching of the cell is the ComK protein. ComK protein is a key regulator which activates hundreds of genes, including the genes encoding the DNA-uptake and recombination systems. In Bacillus subtilis, stress in the environment activates a sequence of chemical reactions that, driven by cellular noise, stochastically increases the level of ComK in some bacterial cells driving them from their original vegetative state into a competent state. In this work, we use the Finite State Projection (FSP) method to analyze stochastic biochemical events and to study the excitable dynamics responsible for competence in Bacillus Subtilis. We compute the probability with which Bacillus subtilis enters in competence. We also present a method to analyze the sensitivity of these stochastic events to various system parameters such as binding affinities, transcription rates, degradation rates, etc. © 2011 AACC American Automatic control Council.

关键词： DNA

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Design of Precise FLC for Trajectory Tracking and Stabilization of Twin Rotor MIMO System 6

Design of Precise FLC for Trajectory Tracking and Stabilizat...

引用

6th IEEE International Conference on Engineering, Technologies and Applied Sciences, ICETAS 2019

作者： Valluru, Sudarshan K. Kumar, Rajul Kumar, Rahul Center for Control of Dynamical Systems and Computation Delhi Technological University Dept. of Electrical Engineering Delhi110042 India

ISBN: (纸本)9781728140827

A progressive and analytical approach is used for designing the precise fuzzy logic controller to control a Twin Rotor Multiple Input Multiple Output System (TRMS). Two fuzzy logic controllers are designed and tested in simulation for pitch and yaw trajectory tracking, including one degree of freedom each. For the formalization and fuzzy implication of both pitch and yaw fuzzy controllers, Mamdani constructive paradigm is used in this paper. Triangular and Trapezoidal member functions are constructed in Fuzzy Interference System and tuned by using performance evaluation after initial characteristic design as well as experience and parametric investigation about TRMS plant. Performance of Conventional Linear PID controller has been compared in terms of peak overshoot, rise time, settling time with fuzzy logic controller (FLC) for stabilization of pitch and yaw angle. Impulse signals are given as disturbances in simulation to the TRMS output, which resembles as real-time aerial and atmospheric disturbances. The results convey that the stabilization achievement of the fuzzy controller is predominant as compared to the Linear-PID controller. © 2019 IEEE.

关键词： Stabilization

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Experimental Investigation of Fully Informed Particle Swarm Optimization tuned Multi Loop L-PID and NL-PID controllers for Gantry Crane System 3

Experimental Investigation of Fully Informed Particle Swarm ...

引用

3rd International Conference on Computing and Network Communications, CoCoNet 2019

作者： Valluru, Sudarshan K. Kaur, Manpreet Kartikeya, Kumar Goel, Arnav Dobhal, Daksh Incubation Center for Control Dynamical Systems and Computation Department of Electrical Engineering Delhi Technological University Delhi110042 India

This paper presents a novel stabilizing nonlinear PID controller with real time experimental validation on a gantry crane system. Our adaptive control technique describes the underactuated system as a nonlinear mapping of control signal with the hyperbolic tangent function. The proposed function is used to impose a constraint on the proportional, integral and derivative errors such that the system results an effective and robust performance. The main trait of the controller is to bound the high control error to result in a lesser correction value. An enhanced hybrid method based on the bioinspired meta-heuristic algorithm Particle Swarm Optimisation is utilised to tune the gain coefficients Kpδ, KIδ and KDδ. The Linear controller and the proposed controllers were compared based on the stabilizing action on the real time system. The real time results depict that the nonlinear PID performs better than the conventional PID. © 2020 The Authors. Published by Elsevier B.V.

关键词： controllers

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Design and Real Time implementation of fmincon, MOGA tuned IO-PID and FO-PIλDμ controllers for Stabilization of TRMS 3

Design and Real Time implementation of fmincon, MOGA tuned I...

引用

3rd International Conference on Computing and Network Communications, CoCoNet 2019

作者： Valluru, Sudarshan K. Kumar, Rajul Kumar, Rahul Center for Control of Dynamical Systems and Computation Dept. of Electrical Engineering Delhi Technological University Delhi110042 India

The insistence of this paper is to design Fractional order-proportional Integral Derivative (FO-PID) and Integral order -Proportional Integral Derivative (IO-PID) controllers for trajectory tracking control of Twin rotor Multiple Input Multiple Output (MIMO) system (TRMS). The aim of these designed controllers is to move the main and tail actuator at the desired angles accurately to fulfill the demanding attributes so that TRMS should stabilize while hovering. The controller parameters of both the controllers are optimized using fmincon function as well as Multiobjective genetic algorithm. Both the controller are tested in real time and their performance are compared for control of yaw and pitch angles of TRMS. Manual disturbances are given at after 40 seconds of first given disturbance, and the designed controllers are highly capable in diminishing quickly the effect of manual perturbations given to the main and tail rotor of TRMS. From experiment it is observed from comparative performance that FO-PID controller tuned using multiobjective genetic algorithm give best performance in term of time taken to stabilization after the given disturbance. © 2020 The Authors. Published by Elsevier B.V.

关键词： Three term control systems

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