scholarly journals Resilient cooperative control of AC microgrids considering relative state‐dependent noises and communication time‐delays

2020 ◽  
Vol 14 (8) ◽  
pp. 1321-1331 ◽  
Author(s):  
Amir Afshari ◽  
Mehdi Karrari ◽  
Hamid Reza Baghaee ◽  
Gevork B. Gharehpetian
Keyword(s):  
Time Delays ◽  
Cooperative Control ◽  
Relative State ◽  
State Dependent ◽  
Communication Time

scholarly journals Stability Switches of Arbitrary High-Order Consensus in Multiagent Networks with Time Delays

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Bo Yang
Keyword(s):  
Time Delays ◽  
Cooperative Control ◽  
High Order ◽  
Frequency Domain Method ◽  
Stability Switches ◽  
Third Order ◽  
Consensus Algorithms ◽  
Communication Time ◽  
Multiagent Networks ◽  
The Stability

High-order consensus seeking, in which individual high-order dynamic agents share a consistent view of the objectives and the world in a distributed manner, finds its potential broad applications in the field of cooperative control. This paper presents stability switches analysis of arbitrary high-order consensus in multiagent networks with time delays. By employing a frequency domain method, we explicitly derive analytical equations that clarify a rigorous connection between the stability of general high-order consensus and the system parameters such as the network topology, communication time-delays, and feedback gains. Particularly, our results provide a general and a fairly precise notion of how increasing communication time-delay causes the stability switches of consensus. Furthermore, under communication constraints, the stability and robustness problems of consensus algorithms up to third order are discussed in details to illustrate our central results. Numerical examples and simulation results for fourth-order consensus are provided to demonstrate the effectiveness of our theoretical results.

Mixed Sensitivity Design of PID Controller-Applied to a Ball and Beam System

2017 ◽  
Author(s):  
Tooran Emami
Keyword(s):  
Pid Controller ◽  
Time Delays ◽  
Uncertainty Modeling ◽  
Pid Controllers ◽  
Perturbed System ◽  
Beam System ◽  
Communication Time ◽  
Uncertain Time ◽  
System Transfer Function ◽  
Ball And Beam System

This paper presents a set of algorithm for all achievable coefficients of Proportional Integral Derivative (PID) controllers that stabilize the system and satisfy a mixed sensitivity constraint with an uncertain time delay. Additive uncertainty modeling is used to describe the uncertainty of perturbed system. Additive uncertainty modeling performs much faster response with the time running of computer programming in MATLAB. This technique is applied to a ball and beam system transfer function with the assumption of uncertain communication time delays in the system process. The goal of this application is to regulate a ball position on a beam and also satisfy the mixed sensitivity constraint.

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