Observer-Based Control of Networked Periodic Piecewise Systems With Encoding-Decoding Mechanism.

Area of Science:

• Control Systems Engineering
• Networked Systems
• Signal Processing

Background:

• Observer-based control is crucial for networked systems, but data compression, encryption, and network-induced errors pose challenges.
• Existing methods struggle to balance communication efficiency, data security, and control performance in periodic piecewise systems.

Purpose of the Study:

• To develop an observer-based control strategy for networked periodic piecewise systems incorporating encoding-decoding mechanisms (EDMs).
• To ensure data security and reduce communication load while maintaining system stability and minimizing steady-state errors.

Main Methods:

• Utilized an encoder with a uniform quantizer for data compression and encryption.
• Employed periodic Lyapunov functions with linear interpolation and singular value decomposition (SVD).
• Derived sufficient conditions using linear matrix inequality (LMI) constraints for observer and controller design.

Main Results:

• Achieved exponentially ultimate boundedness of closed-loop systems under the proposed framework.
• Designed a dynamic quantization factor to eliminate steady-state errors introduced by EDMs.
• Demonstrated the effectiveness of the theoretical results through numerical examples.

Conclusions:

• The proposed observer-based control strategy effectively addresses the challenges of networked periodic piecewise systems with EDMs.
• The method ensures system stability, enhances data security, and improves communication efficiency.
• The dynamic quantization factor is key to achieving precise control by eliminating steady-state errors.