H∞ synchronization of chaotic systems using output feedback control design

Robust synchronization and fault detection of uncertain master-slave systems with mixed time-varying delays and nonlinear perturbations

“…Remark 4: The fault can be detected according to the logical relationship (11). In the fault-free case, the generated residual r(t) is only affected by the disturbance input w(t).…”

“…The first idea of synchronizing two identical chaotic systems with different initial conditions was introduced by Pecora and Carroll [6], and the method was realized in electronic circuits. The methods for synchronization of the chaotic systems have been widely studied in recent years, and many different methods have been applied theoretically and experimentally to synchronize chaotic systems, such as feedback control [7][8][9][10][11][12], adaptive control [13][14][15][16][17], backstepping [18] and sliding mode control [19,20]. Recently, the theory of incremental input-to-state stability to the problem of synchronization in a complex dynamical network of identical nodes, using chaotic nodes as a typical platform was studied in [21].…”

Fuzzy H∞ Synchronization for Chaotic Systems with Time-Varying Delay

“…This had led in recent years to an interest in mini-max control, with the belief that H ∞ control is more robust and less sensitive to disturbance variances and model uncertainties [28]. In order to reduce the effect of the disturbance, Hou et al [29] firstly adopted the H ∞ control concept [28] for the chaotic synchronization problem of a class of chaotic systems. In [30], a dynamic controller for the H ∞ synchronization was proposed.…”

LMI-based H ∞ synchronization of second-order neutral master-slave systems using delayed output feedback control

“…The first idea of synchronizing two identical chaotic systems with different initial conditions was introduced by Pecora and Carroll [3], and the method was realized in electronic circuits. The methods for synchronization of the chaotic systems have been widely studied in recent years, and many different methods have been applied theoretically and experimentally to synchronize chaotic systems, such as feedback control [4][5][6][7][8][9][10], adaptive control [11][12][13][14][15], backstepping [16] and sliding mode control [17][18][19][20][21]. One of the most attractive dynamical systems is the second-order systems which capture the dynamic behaviour of many natural phenomena, and have found applications in many fields, such as vibration and structural analysis, spacecraft control, electrical networks, robotics control and, hence, have attracted much attention (see, for instance, [22][23][24][25][26][27][28][29][30][31][32]).…”