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In this paper we study the fundamental limitations in stabilization and tracking of multi-input, multi-output (MIMO) networked feedback systems. We adopt a parallel additive white noise (AWN) model for the MIMO communication channel, and consider as our performance measure the mean square error for a system's output to track a random reference signal with finite power. Of particular interest in our...
This paper studies mean square stabilization of MIMO discrete-time linear time-invariant systems over a parallel MIMO additive white noise (AWN) channel. Such channel consists of multiple independent SISO AWN channels subject to independent input power constraints. We derive dynamic output feedback stabilization conditions subject to such constraints, for minimum phase plants that have relative degree...
It is well known that model order reduction for circuits with many terminals remains a challenging problem. One reason is that existing approaches are based on a centralized framework, in which each input-output pair is implicitly assumed to be equally interacted and the matrix-valued transfer function is assumed to be fully populated. In this paper, we attempt to address this long-standing problem...
In this paper, we study the optimal tracking performance of multiple-input multiple-output (MIMO), linear and time-invariant system over a parallel additive white noise (AWN) channel. We adopt the power of the tracking error as a measure of the performance and examine the best achievable performance by all two-parameter stabilizing controllers. In addition, we investigate a scaling scheme of the channel...
This paper studies the optimal tracking performance of multiple-input multiple-output (MIMO), finite dimensional, linear time-invariant discrete-time systems with a power-constrained additive white noise (AWN) channel in the feedback path. We adopt the tracking error power as a measure of the performance and examine the best achievable performance by all two-parameter stabilizing controllers. In the...
This paper studies the best achievable tracking performance of multiple-input multiple-output (MIMO), finite dimensional, linear and time-invariant (FDLTI) system over a additive white noise (AWN) channel in the feedback path. The plant under consideration is assumed to be minimum phase but unstable. The reference input is a vector valued wide-sense stationary (WSS) random process. The power of the...
The purpose of this paper is to develop integral relations regarding the singular values of the sensitivity function in linear multivariable feedback systems. The main utility of these integral relations is that they can be used to quantify the fundamental limitations which arise due to system characteristics such as open loop unstable poles and nonminimum phase zeros, and those due to such fundamental...
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