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

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.