Robust H_∞ control for networked control systems with randomly occurring uncertainties: Observer-based case.

Area of Science:

• Control Systems Engineering
• Networked Control Systems (NCSs)
• Robust Control Theory

Background:

• Networked Control Systems (NCSs) are susceptible to uncertainties, dynamic quantization, and packet loss.
• Designing robust controllers for NCSs under these challenging conditions is critical for system performance and stability.

Purpose of the Study:

• To develop an observer-based robust H∞ output feedback control strategy for NCSs.
• To address randomly occurring uncertainties, dynamic quantization, and packet loss.
• To ensure stochastic stability and achieve a prescribed H∞ noise attenuation level.

Main Methods:

• Design of an observer-based robust H∞ output feedback controller.
• Modeling of dynamic quantization and packet loss using Bernoulli random binary distribution.
• Formulation of the existence condition for the controller using linear matrix inequality (LMI).

Main Results:

• A sufficient condition for the existence of the robust H∞ output feedback controller is derived.
• The proposed controller guarantees stochastic stability for the NCS.
• The controller achieves the specified H∞ noise attenuation level.

Conclusions:

• The developed observer-based robust H∞ output feedback control method effectively handles uncertainties, dynamic quantization, and packet loss in NCSs.
• Simulation results validate the proposed design method's effectiveness.
• The LMI-based approach provides a systematic way to design robust controllers for complex NCSs.