This paper investigates the problem of designing a decentralized static output feedback control for a class of large-scale interconnected discrete-time systems with quantized signals and time-varying actuator faults wherein the control input is quantized by means of logarithmic quantizer to avoid chattering. Based on Lyapunov stability theory together with the improved reciprocally convex approach, sufficient conditions are derived in terms of linear matrix inequalities. Specifically, with the aid of cone complementarity linearization technique, the control law is derived which ensures the asymptotic stabilization of considered system with prescribed H_∞ performance index and also guarantees optimum cost bound in spite of quantization and fault occurs. Finally, numerical examples are provided to demonstrate the significance of the designed control method.

中文翻译：

---

具有执行器故障的离散时间大规模互连系统的量化输出反馈保证成本控制

本文研究了为一类具有量化信号和时变执行器故障的大规模互连离散时间系统设计分散式静态输出反馈控制的问题，其中控制输入通过对数量化器进行量化以避免颤振。基于李雅普诺夫稳定性理论，结合改进的互反凸方法，推导出线性矩阵不等式的充分条件。具体而言，借助锥互补线性化技术，推导出控制律，以保证所考虑系统在给定H _∞的情况下渐近稳定性能指标，并且即使出现量化和故障，也能保证最优的成本界限。最后，通过数值例子证明了所设计控制方法的重要性。