Abstract
A successive approximation approach (SAA) is developed to obtain a new congestion controller for the nonlinear TD-SCDMA network control systems based on TCP/IP. By using the successive approximation approach, the original optimal control problem is transformed into a sequence of nonhomogeneous linear two-point boundary value (TPBV) problems. The optimal control law obtained consists of an accurate linear feedback term and a nonlinear compensation term that is the limit of the solution sequence of the adjoint vector differential equations. By using the finite-time iteration of nonlinear compensation term of optimal solution sequence, we can obtain a suboptimal control law for TD-SCDMA network control systems based on TCP/IP.
Highlights
It is well known that the insertion of the TD-SCDMA network based on TCP/IP in the feedback control loop makes the analysis and design of a network control systems complex because the network imposes an undetermined communication delay [1]
TD-SCDMA Network control systems based on TCP/IP can be described by nonlinear systems [4]
While for the quadratic cost functional in the state and control, the optimal state feedback control problem often leads to solving a Hamilton-Jacobi-Bellman (HJB) equation or a nonlinear two-point boundary value (TPBV) problem
Summary
It is well known that the insertion of the TD-SCDMA network based on TCP/IP in the feedback control loop makes the analysis and design of a network control systems complex because the network imposes an undetermined communication delay [1]. For the general regulation problem of nonlinear systems, with the exception of simplest case, there is no analytic optimal control in explicit feedback form. This has spirited up researchers to develop many methods to obtain an approximate solution to the HJB.
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