ABSTRACT
The parameter estimation techniques for a lumped estuarine system were the ordinary least squares (OLS) and the recursive least squares (RLS) methods. The proposed estuarine management models are applied to the Lavaca-Tres Palacios Estuary. This chapter discusses optimal control and parameter estimation for a distributed-parameter system and applies to the Lavaca-Tres Palacios Estuary. It describes the proposed estuary management model for a distributed-parameter system is based on discrete-time, stochastic, linear, quadratic feedback, optimal control. The chapter discusses three uncertainty analysis methods, which are the First-Order Second Moment, Rosenblueth's point estimate, and Hair's point estimate methods. It explains the inverse problem based on the Gauss-Newton minimization algorithm is coupled with the uncertainty analysis methods to find the mean of the parameter in the partial differential equations (PDEs). A lumped-parameter perturbation system equation is used to approximate the two-dimensional PDEs by numerical linearization about the operating points.
