A linear quadratic Gaussian framework for optimal networked control system design

The purpose of this paper is to develop an optimal controller design framework for a class of linear time invariant (LTI) networked control systems with stochastic intertransmission intervals and random scheduling protocols perturbed by stochastic noise processes. Whereas the authors’ previous works examine sufficient conditions that lead to robust (Lp, ISS) notions of stability ex post facto controller design ignoring the network, this paper examines controller design taking the network into account in an appropriate sense. In particular, we assume zero-order hold between transmission instants and our optimality criteria apply to the discrete-time system induced by examining the NCS only at transmission instants. We do, however, develop performance bounds between such instants (where no claim of optimality is made).