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Motivated by the fact that the location(s) and structural properties of the pinning node(s) affect the algebraic connectivity of a network with respect to the reference value and thereby, its dynamic performance, this paper studies the application of intelligent single and multiple pinning of distributed cooperative secondary control of distributed generators (DGs) in islanded microgrid operation. It is shown that the intelligent selection of a pinning set based on the degree of connectivity and distance of leader DG(s) from the rest of the network improves the transient performance for microgrid voltage and frequency regulation. The efficacy of the distributed control strategy based on the proposed algorithms is illustrated via numerical results simulating typical scenarios for a variety of microgrid configurations., Comment: 8 pages, 11 figures, submitted to Trans. on Power Systems

In this paper, a robust output feedback control design is developed for suppression of aeroelastic vibration of a 2-DOF nonlinear wing section system. The aeroelastic system operates in a quasi-steady aerodynamic incompressible flowfield and is actuated using a combination of a leading-edge (LE) and a trailing-edge (TE) flap. By only utilizing measurements of pitching and plunging deflections, an innovative Lyapunov-based procedure is used to design sliding mode control inputs for the LE and TE control surface deflections. The closed-loop system is shown to have semi-global asymptotic stability even in the presence of model uncertainty and unknown external gust loading. Extensive simulation results under a variety of scenarios show the effectiveness of the control strategy.

Here, we study the ultimately bounded stability of network of mismatched systems using Lyapunov direct method. The upper bound on the error of oscillators from the center of the neighborhood is derived. Then the performance of an adaptive compensation via decentralized control is analyzed. Finally, the analytical results for a network of globally connected Lorenz oscillators are verified., 6 pages, 3 figures, Accepted and presented in IEEE Conference Allerton 2015

The effectiveness of pinning control in stabilizing a fast switching network of oscillators is examined. The minimum number of required pinning controllers is calculated under various conditions. We show that the number of required pinning controllers are inversely related to feedback gains. We also show that in some cases, these gains cannot exceed a certain limit.

In this paper, we study the pinning control of networks of coupled oscillators using master stability-like function. The assignment of controllers is performed on the basis of collective dynamics of the network and local and coupling dynamics through the Lyapunov direct method. We assume that the controllers' gain are constrained and we show that our results recover existing ones, when this constraint is removed. Numerical results verify that in more realistic scenarios our method assigns pinning points much more effectively compared to existing approaches.

We study a networked control system with identical linear time-invariant subsystems and identical couplings. Using the Lyapunov method, we derive a sufficient network stability condition. Then, based on this condition we calculate bounds on the probability of stability of a random dynamics network with a random communications network. Finally, we investigate the stability trends of the random networks in the asymptotic regime. Numerical examples validate our analytical results.