A novel control approach for piecewise-affine systems with quantization in both measurement outputs and control inputs

Abstract

The paper addresses the design problem of piecewise-affine output-feedback controllers for a family of piecewise-affine systems against signal quantization. The quantization is considered to occur in both measurement outputs and control inputs. By constructing a novel quantization-dependent Lyapunov function, the stability and H ∞ performance criteria are developed for the closed-loop system with the usage of S-procedure that involves the region partition information. Then, the desired controller gains are obtained in order to guarantee that the resulting closed-loop control system is asymptotically stable with a guaranteed H ∞ performance index. Finally, a numerical example is provided to show the effectiveness of the proposed control method.