H∞ static output feedback control for nonlinear networked control systems with time delays and packet dropouts

Area of Science:

• Control Theory
• Networked Control Systems
• Nonlinear Systems

Background:

• Networked control systems (NCS) face challenges like data loss and delays due to network imperfections.
• Imperfect measurements in NCS can degrade system performance and stability.
• Existing control strategies often struggle to simultaneously address multiple network-induced uncertainties.

Purpose of the Study:

• To develop a robust H∞ static output feedback control strategy for nonlinear NCS.
• To design a novel control law that accounts for network-induced delay, packet dropout, and compensation.
• To ensure stability and performance guarantees under Markovian network variations.

Main Methods:

• A novel control law model incorporating network-induced delay, packet dropout, and compensation was proposed.
• A network-status-dependent Lyapunov functional was constructed to analyze system stability.
• Nonconvex matrix inequalities and the cone complementarity linearization (CCL) procedure were used to derive controller existence conditions and design the controller.

Main Results:

• A sufficient condition for the existence of the H∞ static output feedback controller was established.
• The proposed controller effectively handles network-induced delay and random packet dropout.
• The controller design was solved using the cone complementarity linearization (CCL) procedure for nonconvex problems.

Conclusions:

• The developed H∞ static output feedback control method is effective for nonlinear NCS with imperfect measurements.
• The proposed approach provides a robust solution for systems operating under dynamic network conditions.
• Illustrative examples demonstrate the practical applicability and effectiveness of the control strategy.