Robust passive control for a class of uncertain neutral systems based on sliding mode observer

Area of Science:

• Control Systems Engineering
• Nonlinear Systems Analysis
• Robust Control Theory

Background:

• Neutral systems with uncertainties and unmeasured states present significant control challenges.
• Existing control methods often struggle with robustness and finite-time convergence in such complex systems.

Purpose of the Study:

• To develop a passivity-based sliding mode control (SMC) strategy for uncertain neutral systems with unmeasured states.
• To ensure robust asymptotic stability and finite-time reachability of the sliding surface.

Main Methods:

• Design of a non-fragile state observer for state estimation.
• Development of a novel integral-type sliding surface.
• Derivation of sufficient conditions for stability and passivity using linear matrix inequalities (LMIs).
• Implementation of an adaptive SMC law for finite-time surface reachability.

Main Results:

• A novel non-fragile state observer effectively estimates system states.
• Sufficient conditions for robust asymptotic stability and passivity of sliding mode dynamics are established.
• The adaptive SMC law guarantees finite-time reachability of the sliding surface.
• The proposed control scheme demonstrates validity and superiority through simulation examples.

Conclusions:

• The developed passivity-based adaptive SMC scheme effectively addresses control of uncertain neutral systems with unmeasured states.
• The method ensures robust stability, passivity, and finite-time convergence.
• The approach offers a superior alternative to existing control strategies for this class of systems.