This mathematical study proposes observer-based control for uncertain neutral systems with distributed delays. An observer estimates inaccessible states, integral sliding-mode control addresses disturbances, and delay-dependent stability conditions are expressed as linear matrix inequalities. Numerical examples support feasibility, but no physical system was tested.
Key findings
- The derived LMIs cover norm-bounded time-varying uncertainty and bounded time-varying delays. The reaching law drives the prescribed sliding surface, and the closed loop meets robust stability and H-infinity requirements. Numerical examples illustrate delay effects and report less conservative, more computationally efficient feasibility than selected earlier results.
Why this matters globally
Delayed, partially observed dynamics arise in networks, industrial processes and energy systems. Solvable LMI criteria can systematise controller design, but real benefit depends on model fidelity and hardware constraints.
Thai researcher contribution
Chiang Mai University's computational-simulation and mathematics teams developed the theory, stability conditions and numerical demonstrations, contributing Thai applied mathematics to control engineering.
Limitations to consider
Proofs apply to a specified linear model, uncertainty class and delay bounds. Numerical examples do not capture noise, saturation, sampling, packet loss, unmodelled dynamics or hardware chattering. Conservatism and computational comparisons depend on chosen benchmarks and decision variables.
Verify the original sources
MathematicsRead the original article↗DOI: 10.3390/math14142477