H_∞ observer-based event-triggered sliding mode control for a class of discrete-time nonlinear networked systems with...

Area of Science:

• Control Systems Engineering
• Networked Systems Analysis
• Nonlinear System Dynamics

Background:

• Networked systems face challenges from limited bandwidth, quantization, and induced delays.
• Event-triggered control strategies are crucial for efficient network resource utilization.
• Robust control is essential for uncertain nonlinear systems.

Purpose of the Study:

• To develop an H-infinity observer-based event-triggered sliding mode control (SMC) for discrete-time nonlinear networked systems.
• To address uncertainties, quantizations, and network-induced constraints.
• To ensure robust asymptotic stability and H-infinity performance.

Main Methods:

• Design of a state observer using zero-order-hold (ZOH) measurements.
• Conversion of system dynamics into a linear parameter varying (LPV) time-delay system.
• Application of Lyapunov-Krasovskii functionals and free weighting matrices for stability analysis.
• Co-design of observer gain, event-triggering parameter, and sliding mode parameter.
• Synthesis of a finite-time sliding mode control law.

Main Results:

• A novel sufficient condition for robust asymptotic stability with H-infinity performance is derived.
• The proposed event-triggered SMC effectively manages network bandwidth.
• The control strategy demonstrates robustness against system uncertainties and quantizations.
• Finite-time convergence to the sliding mode surface is achieved.

Conclusions:

• The developed H-infinity observer-based event-triggered SMC is effective for uncertain discrete-time nonlinear networked systems.
• The method provides a systematic approach to co-design control and observer parameters.
• The proposed technique enhances system stability and performance in the presence of network imperfections.