H_∞Non‐Fragile Synchronous Guaranteed Control of Uncertainty Complex Dynamic Network with Time‐Varying Delay

Abstract

A kind of H ∞ non-fragile synchronization guaranteed control method is put forward for a class of uncertain time-varying delay complex network systems with disturbance input. The network under consideration includes unknown but bounded nonlinear coupling functions f (x) and the coupling term and node system with time-varying delays. The nonlinear vector function f (x) need not be differentiable but should satisfy the norm bound. A non-fragile state feedback controller of the gain with sufficiently large regulation margin is designed. It is ensured that the parameters of the controller could still be effective under small perturbation. The sufficient conditions for the existence of H ∞ synchronous non-fragile guaranteed control of this system have been obtained by constructing a suitable Lyapunov-Krasovskii functional, adopting matrix analysis, using the theorem of Schur complement and linear matrix inequalities (LMI). These conditions can guarantee robust asymptotic stability for each node of network with disturbance as well as achieve a prescribed robust H ∞ performance level. Finally, the feasibility of the designed method is verified by a numerical example.

Bifurcation control of small‐world networks with delays VIA PID controller

“…Some existing bifurcation dynamics of a given nonlinear model are improved by designing a controller, thereby obtaining some approving dynamical behaviors. Various control processes have been presented on complex networks [12][13][14][15][16][17][18][19][20][21][22], but bifurcation control is rarely cited on the complex network.…”

H∞ Optimal Performance Design of an Unstable Plant under Bode Integral Constraint

“…There are two types of H ∞ design, which are cycle formation based on coprime factorization, H ∞ state feedback and H ∞ output feedback such as DGKF [5,6]. Cycle formation applies to control design of the flexible system such as instances in [7].…”