Decentralized Control of Linear Systems with Private Input and Measurement Information

In this paper, we study the linear quadratic (LQ) optimal control problem of linear systems with private input and measurement information. The main challenging lies in the unavailability of other regulators' historical input information. To overcome this difficulty, we introduce a kind of novel observers by using the private input and measurement information and accordingly design a kind of new decentralized controllers. In particular, it is verified that the corresponding cost function under the proposed decentralized controllers are asymptotically optimal as comparison with the optimal cost under optimal state-feedback controller. The presented results in this paper are new to the best of our knowledge, which represent the fundamental contribution to classical decentralized control.