scholarly journals Synchronization Control of Time-Varying Complex Dynamic Network with Nonidentical Nodes and Coupling Time-Delay

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Youjian Zhang ◽  
Wenjun Yan ◽  
Qiang Yang
Keyword(s):  
Time Delay ◽  
Feedback Control ◽  
Complex Networks ◽  
Hybrid Control ◽  
Dynamic Network ◽  
Time Varying ◽  
Static Feedback ◽  
Control Schemes ◽  
Coupling Time ◽  
Nonidentical Nodes

This paper addresses the synchronization problem for a class of complex networks with time-varying topology as well as nonidentical nodes and coupling time-delay and presents two efficient control schemes to synchronize the network onto any given smooth goal dynamics. The time-varying network is supposed to be bounded within a certain range, which cannot be controlled. Through the adoption of hybrid control with linear static feedback control and adaptive feedback control, two control schemes are derived to guarantee such complex networks to reach the global synchronization. Finally, a set of numerical simulation experiments are carried out and the results demonstrate the effectiveness of the suggested control solutions.

scholarly journals Robust Tracking Control for Switched Fuzzy Systems with Fast Switching Controller

2012 ◽  
Vol 2012 ◽  
pp. 1-21 ◽  
Author(s):  
Hong Yang ◽  
Le Zhang ◽  
Xiaodong Liu
Keyword(s):  
Hybrid Control ◽  
Convex Combination ◽  
Good Control ◽  
Smooth Transition ◽  
Robust Tracking ◽  
Robust Tracking Control ◽  
Switching Law ◽  
Fast Switching ◽  
Control Schemes ◽  
Switching Controller

This paper addresses the problem of designing robust tracking controls for a class of switched fuzzy (SF) systems with time delay. A switched fuzzy system, which differs from existing ones, is firstly employed to describe a nonlinear system. Next, a fast switching controller consisting of a number of simple subcontrollers is proposed. The smooth transition is governed by using the fast switching controller. Tracking hybrid control schemes which are based upon a combination of theH∞tracking theory, fast switching control algorithm, and switching law design are developed such that theH∞model referent tracking performance is guaranteed. Since convex combination techniques are used to derive the delay independent criteria, some subsystems are allowed to be unstable. Finally, various comparisons of the elaborated examples are conducted to demonstrate the effectiveness of the proposed control design approach. All results illustrate good control performances as desired.

Tracking Control of Uncertain Nonholonomic Mobile Robots: Smooth Switching Approach

2009 ◽  
Author(s):  
Jeng-Tze Huang ◽  
Chih-Hao Chang
Keyword(s):  
Mobile Robots ◽  
Tracking Control ◽  
Hybrid Control ◽  
Parametric Uncertainty ◽  
Control Input ◽  
Nonholonomic Mobile Robots ◽  
Control Approach ◽  
Adaptive Tracking Control ◽  
Control Schemes ◽  
Smooth Switching

Backstepping based adaptive tracking control of non-holonomic mobile robots in the presence of both kinematic and dynamic parametric uncertainty is presented. The major challenge is the possible singularity phenomenon due to the approach of zero of the estimated input vector field entering the denominator of the control input, a common drawback of adaptive linearization-based schemes. A hybrid control approach, which switches between an adaptive and a robust control schemes, is developed for solving such a problem. It retains the advantage of an adaptive control approach to a greatest extent while avoiding the possible blowup of the torque inputs simultaneously. A case study on a specific Type (2; 0) mobile robot is provided in the final to verify the usefulness of the proposed design.

SWITCHING VACCINATION SCHEMES FOR VECTOR-BORNE DISEASES WITH SEASONAL FLUCTUATIONS

2017 ◽  
Vol 25 (03) ◽  
pp. 441-477
Author(s):  
XINZHI LIU ◽  
PETER STECHLINSKI
Keyword(s):  
Hybrid Control ◽  
Control Strategies ◽  
Model Parameters ◽  
Vector Borne Diseases ◽  
Pulse Vaccination ◽  
State Dependent ◽  
Control Schemes ◽  
Vector Borne ◽  
Free Set ◽  
Compare And Contrast

Theory is developed for an epidemic model of a seasonally-spreading vector-borne disease using a hybrid system framework. Applicable to diseases spread by mosquitoes (e.g., chikungunya and Zika virus via Aedes albopictus), seasonal variations in transmission are modeled using switching parameters to represent term-time forcing. The vector agent is assumed to exhibit a period of incubation upon infection, modeled using a distribution. Three hybrid control strategies are analyzed in detail: switching cohort immunization, pulse vaccination at pre-specified times, and state-dependent pulse vaccination. Methods from switched systems theory are used to derive threshold disease eradication conditions involving the model parameters; convergence of solutions to a disease-free set or periodic solution is shown. A comprehensive analysis is performed to compare and contrast the different control schemes.

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