Output-feedback fault-tolerant tracking control for coupled 2 x 2 hyperbolic PDE systems with multiplicative sensor faults

This paper proposes an output-feedback fault-tolerant tracking control scheme for coupled 2x2$$ 2\times 2 $$ 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.