One-step receding horizon H(∞) control for networked control systems with random delay and packet disordering

Area of Science:

• Control Systems Engineering
• Networked Control Systems
• Stochastic Systems

Background:

• Networked Control Systems (NCSs) face challenges from random delays and packet disorder.
• Existing models may not fully capture delays exceeding a single sampling period.

Purpose of the Study:

• To develop a robust receding horizon H(∞) control (RHHC) strategy for NCSs with random delay and packet disorder.
• To ensure stochastic stability and bounded H(∞) performance under uncertain network conditions.

Main Methods:

• A novel model for NCSs with random delays, treated as a Markovian jump system.
• Application of the receding optimization principle to derive stability and performance conditions.
• Solution of a semi-definite programming (SDP) problem with linear matrix inequalities (LMIs) constraints.

Main Results:

• Sufficient conditions for stochastic stability and upper bounded H(∞) performance were derived.
• A piecewise-constant RHHC controller was designed using SDP and LMIs.
• The controller guarantees a prescribed H(∞) disturbance attenuation level for the closed-loop NCS.

Conclusions:

• The proposed RHHC method effectively addresses random delays and packet disorder in NCSs.
• The developed controller ensures stability and performance, validated by an illustrative example.
• This approach offers a robust solution for control system design in uncertain network environments.