Finite Quantized-Output Feedback Tracking Control of Possibly Non-Minimum Phase Linear Systems

Abstract

This paper proposes a finite quantized-output feedback tracking control method for a general class of continuous-time linear time-invariant systems. Firstly, an analytical pole placement-based control law is constructed using a finite quantized-output signal and an external reference output signal. Then, it is proven that the proposed control law can ensure all closed-loop signals are bounded, and the output tracking error converges to a residual set of the origin exponentially. Moreover, we show that the residual set can be made arbitrarily small if the magnitude of the quantizer satisfies a specified condition. This method combines the advantages of the classical pole placement control technique and the quantized control technique. Compared with the existing tracking control methods, it not only reduces the feedback information requirement, but also has full capability to deal with unstable poles and zeros in the controlled plant for output tracking. A numerical example is presented to verify the validity and new features of the proposed method.