Distributed Robust Control Design for Multi-Intelligent Body Systems Based on KYP Lemma

Abstract

In this paper, a distributed robust control system is analyzed and investigated, and a series of control applications of the system are discussed using KYP primitives. Reliable H∞ -state feedback and output feedback controllers are given for linear continuous time, ensuring that the corresponding closed-loop system is asymptotically stable and satisfies full-frequency performance. Simulation examples verify the superiority of the methodology of this paper, and the level of noise rejection is further enhanced as the number h of measured output values used is increased. The optimal performance metrics for finite-frequency are all lower than full-frequency, and the distributed filter outperforms the conventional filter. The closed-loop system has a maximum magnitude of 5.480 and 9.075, which meet the robustness requirement for the 4-8 Hz frequency range. The time-lag system can return to its stable state about 4 seconds after the disturbance, ensuring good, robust stability. The distributed robust control system proposed in this paper achieves good practical application results, and the numerical examples demonstrate the method’s effectiveness.

Keywords

• distributed robust control
• kyp elicitation
• distributed filter
• robustness
• time lag system
• 68m10