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We consider a networked control system (NCS) consisting of two plants, aglobal plant and a local plant, and two controllers, a global controller and alocal controller. The global (resp. local) plant follows discrete-timestochastically switched linear dynamics with a continuous global (resp. local)state and a discrete global (resp. local) mode. We assume that the state andmode of the global plant are observed by both controllers while the state andmode of the local plant are only observed by the local controller. The localcontroller can inform the global controller of the local plant's state and modethrough an unreliable TCP-like communication channel where successfultransmissions are acknowledged. The objective of the controllers is tocooperatively minimize a modes-dependent quadratic cost over a finite timehorizon. Following the method developed in [1] and [2], we construct a dynamicprogram based on common information and a decomposition of strategies, and useit to obtain explicit optimal strategies for the controllers. In the optimalstrategies, both controllers compute a common estimate of the local plant'sstate. The global controller's action is linear in the state of the globalplant and the common estimated state, and the local controller's action islinear in the actual states of both plants and the common estimated state.Furthermore, the gain matrices for the global controller depend on the globalmode and its observation about the local mode, while the gain matrices for thelocal controller depend on the actual modes of both plants and the globalcontroller's observation about the local mode.

Decentralized Control of Stochastically Switched Linear System with Unreliable Communication