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Fault-tolerant control for nonlinear time-delay systems using neural network observers

I tiakina i:
I whakaputaina i:International Journal of Dynamics and Control vol. 13, no. 1 (Jan 2025), p. 33
Kaituhi matua: Rahimi, Farshad
I whakaputaina:
Springer Nature B.V.
Ngā marau:
Dynamic programming
Adaptive systems
Control theory
Neural networks
Linear matrix inequalities
Fault tolerance
Bellman theory
Controllers
Closed loops
Functional analysis
Control systems
Methods
Systems stability
Algorithms
Nonlinear systems
Nonlinear control
Time delay systems
Feedback control
Actuators
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Whakarāpopotonga:This article addresses the problem of fault-tolerant control in nonlinear time-delay systems using adaptive dynamic programming. An adaptive neural network observer is developed to estimate unknown dynamics, system states, and actuator faults. This observer is then transformed into an augmented structure for optimal fault-tolerant control problem. The gains of this observer are determined by solving a linear matrix inequality. A new value function index is introduced to account for time-delay states, and control law is derived associated with this novel value function. The Hamilton–Jacobi–Bellman equation for this value function is solved via a critic neural network. Lyapunov functional analysis demonstrates that the closed-loop system remains uniformly ultimately bounded. Simulation results validate the proposed fault tolerant approach. The key contribution of this paper lies in incorporating time-delay states into the adaptive dynamic programming value function in the presence of actuator faults.
ISSN:2195-268X
2195-2698
DOI:10.1007/s40435-024-01536-y
Puna:Advanced Technologies & Aerospace Database