Adaptive reliable H∞ controller design for linear systems with quantized state feedback

This paper addresses the design problem of reliable H_∞ controller for linear systems with state quantization. By combining linear matrix inequality technique and indirect adaptive method, a new method is proposed to design a reliable controller against actuator faults via quantized state feedback. The controller gains are updating according to the on-line estimation of eventual faults, which are dependent on the quantized state signals. Meanwhile, the proposed designs conditions with variable gains can be proved to be less conservative than those of the traditional controller with fixed gains. A numerical example is presented to illustrate the effectiveness of the proposed method.