Decentralized iterative learning control for large-scale interconnected linear systems with fixed initial shifts

Observer-Based Decentralized Tracking Control with Preview Action for a Class of Nonlinear Interconnected Systems

“…Remark 6. So far, there have been many interesting results concerning decentralized tracking control in the literature, such as [5,9,12,39,[42][43][44][45][46][47]. Note that most of them are developed via backstepping control, adaptive dynamic programming, iterative learning control, etc.…”

“…Example 2. To illustrate the application of the proposed control scheme, we consider the two identical pendulums which are coupled by a spring and subject to two distinct inputs [47] as shown in Figure 7.…”

“…where g represents the gravity, μ accounts for the friction, m 1 � m 2 � m are the masses of both pendulums, and k is the spring constant. e following parameters borrowed from [47] are used:…”

Parametrical Non-Complex Tests to Evaluate Partial Decentralized Linear-Output Feedback Control Stabilization Conditions from Their Centralized Stabilization Counterparts

“…Some extra constraints inherent to some systems, like solution positivity in the case of biological systems or human migrations or the needed behavior robustness against parametrical changes of disturbance actions add additional complexity to the related investigations and need the use of additional mathematical or engineering tools for the research development, [5][6][7]. A large variety of modeling and design tools have to be invoked and developed in the analysis depending on the concrete systems under study and their potential applications as, for instance, the presence of internal and external delays, discretization, dynamics modeling based on fractional calculus, the existence of complex systems with interconnected subsystems, [8][9][10][11][12][13], hybrid coupled continuous/digital tandems, nonlinear systems and optimization and estimation techniques [14][15][16][17][18][19] as well as robotic and fuzzy-logic based systems, [20,21]. In particular, decentralized control is a useful tool for controlling dynamic systems by cutting some links between the dynamics coupling a set of subsystems integrated in the whole system at hand.…”

“…The use of decentralized stabilization and control tools is of interest when the whole system has physically separated subsystems that require the implementation of local control actuators but the control has to be global for the whole system. An ad-hoc example provided in [2][3][4]19] where decentralized control is of a great design interest is the case of several coupled cascade hydroelectric power plants allocated in the same river but separated far away from each other. It has to be pointed out that the term "decentralized control" versus "centralized control" refers to the eventual cut of links of the shared information between tandems of integrated subsystems, or coupling signals between them, to be controlled rather than to the physical disposal of the controller.…”