Decentralized robust adaptive output‐feedback control for a class of large‐scale stochastic time‐delay nonlinear systems with dynamic interactions

Abstract

The paper solves the problem of decentralized robust adaptive output‐feedback control for a class of large‐scale stochastic time‐delay nonlinear systems. Under the assumptions that the inverse dynamics of the subsystems are stochastic input‐to‐state stable, an adaptive output‐feedback controller is constructively designed by the back‐stepping method. It is shown that under some milder conditions, the closed‐loop system is globally stable in probability and the outputs can be regulated to an arbitrarily small neighborhood of the origin in probability and other signals in the closed‐loop system are global bounded in probability by selecting the design parameters and appropriate Lyapunov function. A simulation example is presented to illustrate the effectiveness of the designed controller.

A Characterization of approximate decentralized fixed modes of time‐delay systems

“…Many control systems, especially large-scale control systems, include time-delays due to, e.g., the transport phenomena, online data processing, required time to acquire information needed for decision making, to create and execute control decisions (see, e.g., [15][16][17]). With the development of computational tools, the subject of decentralized control of time-delay systems has seen a growing interest in the last decade (e.g., [18][19][20][21]). Considering decentralized systems with multiple time-delays, ADFMs are only briefly addressed for retarded time-delay systems in Momeni et al [3] where the results are the expansion of the results obtained in Davison and Aghdam [2] to the retarded time-delay systems.…”

Observer‐based decentralized robust H∞ output tracking control with preview action for uncertain and disturbed nonlinear interconnected systems

“…This leads to simpler controller structures and higher computational efficiency. These advantages have led many researchers to investigate the decentralized control problems of various interconnected systems [7][8][9][10][11][12][13][14][15][16][17].…”

“…State observation approaches for interconnected systems have attracted significant attention. For instance, an interconnected state observer using the interconnection information between subsystems has been proposed in previous works [9][10][11][12][13][14][15][16][17][18][19][20]. Meanwhile, state observer designs that use only local input and output information for reconstructing the states of individual subsystems in decentralized frameworks have already become a trend in the investigation of the state reconstruction problem in interconnected systems (see previous literature [21][22][23][24] and the references therein).…”