Improved stabilization method for Lurie networked control systems

Area of Science:

• Control Engineering
• Systems Science
• Computer Science

Background:

• Networked Control Systems (NCSs) present unique challenges due to network-induced delays.
• Lurie systems are a class of nonlinear systems commonly found in control applications.
• Ensuring stability in NCSs with time-varying delays is crucial for reliable operation.

Purpose of the Study:

• To investigate the stabilization problem for Lurie NCSs with time-varying and bounded network-induced delays.
• To develop a novel absolute stability condition for such systems.
• To design an effective state feedback controller for improved NCS performance.

Main Methods:

• Utilizing a reciprocally convex technique to analyze the relationship between network-induced delay and its interval.
• Deriving a new absolute stability condition formulated using linear matrix inequalities (LMIs).
• Presenting an improved cone complementary linearization (CCL) iteration algorithm for state feedback controller design.

Main Results:

• A new absolute stability condition for Lurie NCSs with time-varying delays was successfully derived.
• An improved CCL algorithm was developed for state feedback controller synthesis.
• The proposed method demonstrated effectiveness in stabilizing the NCS, as verified by a numerical example.

Conclusions:

• The reciprocally convex technique and LMIs provide a robust framework for analyzing Lurie NCS stability.
• The improved CCL algorithm offers an effective approach for designing state feedback controllers in NCSs.
• The findings contribute to the advancement of stable and reliable networked control systems.