In this chapter, we study stabilization of multi-input networked control systems over additive white Gaussian noise (AWGN) channels. Different from the single-input case, which is available in the literature and boils down to a typical H₂ optimal control problem, the multi-input case involves a judicious allocation of the total capacity among the input channels in addition to the design of the feedback con- troller. With this channel-controller codesign, we successfully show that a net- worked multi-input system over AWGN channels can be stabilized by state feedback under channel resource allocation, if and only if the total channel capacity is greater than the topological entropy of the plant. A numerical example is given to demonstrate our result.

Inspec keywords: stability; control system synthesis; channel capacity; networked control systems; resource allocation; entropy; state feedback; AWGN channels

Other keywords: H₂ optimal control problem; state feedback; channel capacity; topological plant entropy; feedback controller design; multiinput networked control system stabilization; channel-controller codesign; channel resource allocation; AWGN channels; additive white Gaussian noise channels

Subjects: Radio links and equipment