Feedback Control over Power-Constrained Gaussian Channels Seminar

With the widespread use of communication technology in control systems, a series of issues that have not been encountered in traditional control systems appear. A fundamental problem is that how various communication constraints would affect the stability and performance of a control system. This study is concerned with feedback control of linear time-invariant (LTI) systems over Gaussian channels subject to a total power constraint. Both continuous-time and discrete-time systems are treated under the framework of H2 control, and necessary/sufficient conditions for stabilizability are established in terms of inequalities involving unstable plant poles, transmitted power, and noise variances. These results are further used to clarify the relationship between channel capacity and stabilizability. A significant discovery is that even for LTI systems, the optimal control/communication strategy may be no longer LTI, and nonlinear/time-varying strategies would be necessary.