Control of Output Feedback Systems under Randomly Varying Distributed Delays

An output feedback control law has been formulated in a stochastic setting, based on the principles of minimum variance filtering and dynamic, programming, for application to processes that are subjected to randomly varying distributed delays. The proposed estimation and control law for delay compensation is built upon the concept of the conventional Linear Quadratic Gaussian (LQG), hereafter called Delay Compensated Linear Quadratic Gaussian (DCLQG). Although the certainty equivalence property of LQG does not hold for DCLQG in general, the combined state estimation and state feedback approach of DCLQG offers a suboptimal solution to the control problem under randomly varying distributed delays. DCLQC is potentially applicable to analysis and synthesis of control systems for vehicle management of future generation aircraft where a computer network is employed for distributed processing and on-line information exchange between diverse control and decision-making functions.