Tracking performance under additive Gaussian Noise and control energy constraint for networked control systems

There is an increasing interest in studying the optimal tracking performance of network control systems. This paper investigates the optimal tracking performance issues of finite-dimensional, continuous-time, linear time-invariant network control systems, in which the forward path is subject to noise disturbance and an additive white Gaussian Noise existed in the output feedback. The reference input is a Brownian motion random process. The two-parameter controller is employed and an integral square criterion is adopted to measure the tracking error and the input energy. The plant under consideration is assumed to be non-minimum phase and unstable, that is, the plant has zeros in the right half and unstable poles. The explicit expression of the tracking performance has been obtained. The results show that the white Gaussian noise, as well as the unstable poles and non-minimum phase zeros, can worsen the tracking performance.