who extended the LQR approach to propose a so-called state-dependent Riccati equation (SDRE) method for the nonlinear quadratic regulation problems .
where P(x) is the symmetric and positive-definite solution of the algebraic state-dependent Riccati equation as
Mracek, "Nonlinear regulation and nonlinear H, control via the state-dependent Riccati equation technique.
Nekoo, "Nonlinear closed loop optimal control: a modified state-dependent Riccati equation," ISA Transactions, vol.
Bentsman, "Constrained discrete-time state-dependent Riccati equation technique: a model predictive control approach," in Proceedings of the 52nd IEEE Conference on Decision and Control (CDC 2013), pp.
Geranmehr, "Nonlinear observer-based optimal control using the state-dependent Riccati equation for a class of non-affine control systems," Control Engineering and Applied Informatics, vol.
Nekoo, "Nonlinear optimal control via finite time horizon state-dependent Riccati equation," in Proceedings of the 2nd RSI/ISM International Conference on Robotics and Mechatronics (ICRoM2014), pp.
In this paper the state-dependent Riccati equation technique was used to control AIDS.
Keywords: State-dependent Riccati equation (SDRE), human immunodeficiency virus (HIV), Affine, Linear Quadratic Regulator (LQR), State Dependent Coefficient (SDC)
Various optimal control methods are proposed for these systems and the state-dependent Riccati equation is one of the most efficient methods.
State-Dependent Riccati Equation (SDRE) Control: A Survey, Seoul, 17th IFAC World Congress (IFAC'08), Korea, July 6-11, 2008.
14] HT Banks, BM Lewis, HT T ran, Nonlinear Feedback Controllers and Compensators: A State-Dependent Riccati Equation Approach, North Carolina State University, Center for Research in Scientific, 2003.