“…The possibility of actuator's failure were not considered in the design of control schemes, these include. 5,6,[8][9][10][11][12][13][14][17][18][19][20][21][22][23][24][26][27][28][29][30][31][32][33][34]37,38 According to the previous limitations 1-4, the motivation and the originality of this research is clear that, in this article, a FTC scheme is proposed for a class of nonlinear ODE-PDE cascaded systems with matched and unmatched disturbances. Not only the dynamic equations one considered in this article are more extended than those in the literature, but also the control scheme one proposed is able to simultaneously eliminate the limitations (1)-(4) mentioned above.…”
Section: Introductionmentioning
confidence: 99%
“…The upper bounds of perturbations must be known beforehand; these include 7,14,15,17,20,21,24,27,28,35 The possibility of actuator's failure were not considered in the design of control schemes, these include 5,6,8‐14,17‐24,26‐34,37,38 …”
Section: Introductionmentioning
confidence: 99%
“…According to the previous limitations 1–4, the motivation and the originality of this research is clear that, in this article, a FTC scheme is proposed for a class of nonlinear ODE‐PDE cascaded systems with matched and unmatched disturbances. Not only the dynamic equations one considered in this article are more extended than those in the literature, 5‐38 but also the control scheme one proposed is able to simultaneously eliminate the limitations (1)‐(4) mentioned above. In addition, the proposed control scheme provides the following advantages: Both adaptive mechanisms and perturbation estimator are utilized so that the upper bounds of perturbations and perturbation estimation errors are not required to be known beforehand.The unknown loss of effectiveness of actuator's degradation can be time‐varying variables.The controlled states of ODE and PDE of the cascaded system are able to converge to zero within a finite time.…”
Section: Introductionmentioning
confidence: 99%
“…22 Li and Jin 30 developed an output feedback regulation controller for a cascaded wave PDE-ODE system with velocity recirculation and matched disturbance. As for other aspects of control, Mei, 31 Zhou and Guo, 32 Tavasoli, 33 Strecker et al 34 applied disturbance estimators, boundary control, output tracking controllers to achieve asymptotically stable and exponentially stable, respectively.…”
An adaptive fault‐tolerant control (FTC) scheme is proposed in this article for a class of perturbed cascaded dynamic systems governed by nonlinear differential equation‐partial differential equation (ODE‐PDE) to solve regulation problems. The sliding surface is introduced first, then the controller which can handle actuator faults is designed. Adaptive and perturbation estimation mechanisms are employed in the proposed control scheme so that there is no need to know the upper bounds of perturbations as well as perturbation estimation error in advance. In addition, the adaptive mechanism embedded is capable of adapting the unknown upper bounds of time‐varying loss of effectiveness of the actuators. The stability analysis confirms that the proposed control strategy can drive both the states of ODE and PDE into zero within a finite time even if the actuator fault occurs. At last, a numerical example is given to verify the robustness and effectiveness of the proposed FTC scheme.
“…The possibility of actuator's failure were not considered in the design of control schemes, these include. 5,6,[8][9][10][11][12][13][14][17][18][19][20][21][22][23][24][26][27][28][29][30][31][32][33][34]37,38 According to the previous limitations 1-4, the motivation and the originality of this research is clear that, in this article, a FTC scheme is proposed for a class of nonlinear ODE-PDE cascaded systems with matched and unmatched disturbances. Not only the dynamic equations one considered in this article are more extended than those in the literature, but also the control scheme one proposed is able to simultaneously eliminate the limitations (1)-(4) mentioned above.…”
Section: Introductionmentioning
confidence: 99%
“…The upper bounds of perturbations must be known beforehand; these include 7,14,15,17,20,21,24,27,28,35 The possibility of actuator's failure were not considered in the design of control schemes, these include 5,6,8‐14,17‐24,26‐34,37,38 …”
Section: Introductionmentioning
confidence: 99%
“…According to the previous limitations 1–4, the motivation and the originality of this research is clear that, in this article, a FTC scheme is proposed for a class of nonlinear ODE‐PDE cascaded systems with matched and unmatched disturbances. Not only the dynamic equations one considered in this article are more extended than those in the literature, 5‐38 but also the control scheme one proposed is able to simultaneously eliminate the limitations (1)‐(4) mentioned above. In addition, the proposed control scheme provides the following advantages: Both adaptive mechanisms and perturbation estimator are utilized so that the upper bounds of perturbations and perturbation estimation errors are not required to be known beforehand.The unknown loss of effectiveness of actuator's degradation can be time‐varying variables.The controlled states of ODE and PDE of the cascaded system are able to converge to zero within a finite time.…”
Section: Introductionmentioning
confidence: 99%
“…22 Li and Jin 30 developed an output feedback regulation controller for a cascaded wave PDE-ODE system with velocity recirculation and matched disturbance. As for other aspects of control, Mei, 31 Zhou and Guo, 32 Tavasoli, 33 Strecker et al 34 applied disturbance estimators, boundary control, output tracking controllers to achieve asymptotically stable and exponentially stable, respectively.…”
An adaptive fault‐tolerant control (FTC) scheme is proposed in this article for a class of perturbed cascaded dynamic systems governed by nonlinear differential equation‐partial differential equation (ODE‐PDE) to solve regulation problems. The sliding surface is introduced first, then the controller which can handle actuator faults is designed. Adaptive and perturbation estimation mechanisms are employed in the proposed control scheme so that there is no need to know the upper bounds of perturbations as well as perturbation estimation error in advance. In addition, the adaptive mechanism embedded is capable of adapting the unknown upper bounds of time‐varying loss of effectiveness of the actuators. The stability analysis confirms that the proposed control strategy can drive both the states of ODE and PDE into zero within a finite time even if the actuator fault occurs. At last, a numerical example is given to verify the robustness and effectiveness of the proposed FTC scheme.
“…Various transport and flow phenomena are modeled by hyperbolic PDE systems in practice 1‐5 . The typical application examples include traffic flow in road, 6 oil flow in drill wells, 7 time‐delays in systems, 8 current propagation in transmission lines 9 and so forth.…”
This paper proposes an output-feedback fault-tolerant tracking control scheme for coupled 2 × 2 hyperbolic PDE systems with multiplicative sensor faults. In order to estimate the system states, an observer is designed by constructing four filters, which impose time delays to their input signals. For sensor fault identification problem, the gradient descent method is utilized based on a parametric model to estimate the fault parameter. With the filter-based observer and the estimated fault parameters, a novel control strategy is proposed via backstepping design technique to achieve the tracking objective. Finally, the simulation studies are given to verify the tracking performance of the proposed fault-tolerant tracking control scheme.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.