Decentralized Fault Tolerant Control for a Class of Interconnected Nonlinear Systems

Abstract

This paper proposes a decentralized fault tolerant methodology for a class of interconnected nonlinear systems. The key novelty of our proposed method is that fault tolerant control can be achieved without necessarily exchanging the state information between the subsystems and the couplings' effect can be dealt with utilizing the cyclic-small-gain methodology. Simulation results demonstrate effectively the validity of our proposed approach.

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

“…is piecewise continuous and bounded, then Property (ii) holds by replacing (13) have some zero off-diagonal entries (or off-diagonal block matrices in the more general case that the system is described by coupled subsystems), then we have at least a partial closed-loop stabilization under decentralized control or, eventually, cut coupled dynamic links to the light of the various Cases 1-5 described after Remark 2 such that closed-loop stability is preserved.…”

“…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.…”

“…To assess the behavior of the controlled system, a model of such a nonlinear plant is controlled by a fractional proportional/integral/derivative control device through a linearization of its set points, the fractional part being relevant in the approach on the controller derivative actions. In addition, a set of applied complex control problems are studied, for instance, in [10][11][12][13][14][15][16] with the aim of giving different ad hoc simplification tools to deal with the appropriate control methodologies. In particular, a decentralized control approach is proposed in [16].…”

Adaptive decentralized finite‐time output tracking control for MIMO interconnected nonlinear systems with output constraints and actuator faults

“…As pointed out in the work of Li and Yang, 17 Assumption 2 is more general than many assumptions in the existing literature, which only consider output-dependent interconnected nonlinear terms, 4 or bounded by linear terms of state-dependent functions. 57,58 Assumption 3. The gain functions B q,i (x q, i , t), q = 1, · · · , N, i = 1, · · · , n − 1, are bounded, symmetric, and positive definite.…”

Adaptive decentralized fault‐tolerant tracking control for large‐scale nonlinear systems with input quantization

“…Hence, it has important practical significance to study and address the control problem of the interconnected nonlinear systems. 16,[30][31][32][33][34][35] For the stability problem, an output-feedback control method with neural network was researched in the work of Zhou et al 36 For the FTC problem, decentralized FTC approaches based on fault estimation were proposed in the works of Zhao et al 37 and Shao et al, 38 and a decentralized controller to minimize the fault effects on interconnected nonlinear systems was designed in the work of Ferdowsi and Jagannathan. 39 Nowadays, for practical engineering, the stability of the control systems is not the only purpose, and the outputs of systems are often required to track the desired trajectories through designing a proper control method.…”