An SDRE-Based Approach for HIV Feedback Control and Control of Thin Film Growth in a CVD Reactor

Abstract A number of computational methodologies have been proposed in the literature to design and synthesize feedback controls when the plant is modeled by nonlinear dynamical systems. One of the highly promising and rapidly emerging methodologies for designing nonlinear controllers is the state-dependent Riccati equation (SDRE) method in the context of the nonlinear regulator problem. In essence, SDRE mimics the linear quadratic regulator theory by using direct parametrization to rewrite the nonlinear state function as a product of a state-dependent coefficient matrix with the state vector. This paper presents an overview of our successful effort on the application of SDRE for the regulation of the growth of thin films in a high pressure chemical vapor deposition (CVD) and for the development of optimal dynamic multi-drug therapies for human immunodeficiency virus (HIV) infection.