Discussion: “A Successive Approximation Technique for Optimal Control Systems Subject to Input Saturation” (Ho, Yu-Chi, 1962, ASME J. Basic Eng., 84, pp. 33–37)

1962 ◽  
Vol 84 (1) ◽  
pp. 37-37
Author(s):  
M. Frazier
Keyword(s):  
Optimal Control ◽  
Control Systems ◽  
Successive Approximation ◽  
Input Saturation ◽  
Approximation Technique

A Successive Approximation Technique for Optimal Control Systems Subject to Input Saturation

1962 ◽  
Vol 84 (1) ◽  
pp. 33-37 ◽  
Author(s):  
Yu-Chi Ho
Keyword(s):  
Optimal Control ◽  
Control Systems ◽  
Successive Approximation ◽  
Input Saturation ◽  
Computational Techniques ◽  
Approximation Technique

A class of problems that has received considerable attention in recent years from both control theorists and engineers is the following: Givenx˙=Fx+du,x(0)=cDetermine|u(t)|≤1suchthatx(T)=0andx(t)≠0for0≤t<TandwhereTisaminimum(P-1) A related and perhaps more practical class of problems can be stated as Givenx˙=Fx+du,x(0)=cDetermine|u(t)|≤1suchthat‖x(T)‖2PisaminimumforgivenT(P-2) Although a considerable amount of effort has been expended on (P-1), and to a lesser extent on (P-2), yet computational techniques which enable one to solve numerically the above problems are still lacking except in restricted cases [7, 8]. This paper presents such a technique which completely solves this problem by successive approximation. The convergence of this solution is proved, and it is shown to satisfy all known properties of the problems.

scholarly journals Congestion Control for Nonlinear TD-SCDMA Discrete Networks Based on TCP/IP

2015 ◽  
Vol 11 (7) ◽  
pp. 21
Author(s):  
Peng Liu
Keyword(s):  
Optimal Control ◽  
Control Systems ◽  
Successive Approximation ◽  
Network Control ◽  
Control Law ◽  
Approximation Approach ◽  
Solution Sequence ◽  
Network Control Systems ◽  
Nonlinear Compensation ◽  
Successive Approximation Approach

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.

scholarly journals A New Structure to Design Optimal Control Systems

1994 ◽  
Vol 27 (11) ◽  
pp. 101-104 ◽  
Author(s):  
L. Keviczky ◽  
C.S. Bányász
Keyword(s):  
Optimal Control ◽  
Control Systems
Sign in / Sign up

Export Citation Format

Share Document