A successive approximation approach for short-term cascaded hydro scheduling with variable water flow delay

2018 ◽  
Vol 154 ◽  
pp. 213-222 ◽  
Author(s):  
Xiaolin Ge ◽  
Shu Xia ◽  
Wei-Jen Lee ◽  
C.Y. Chung
Keyword(s):  
Successive Approximation ◽  
Water Flow ◽  
Short Term ◽  
Approximation Approach ◽  
Successive Approximation Approach ◽  
Variable Water

A Successive Approximation Approach of Nonlinear Optimal Control with R-Rank Persistent Disturbances

2011 ◽  
Vol 130-134 ◽  
pp. 1862-1866
Author(s):  
Shi Yong Ma
Keyword(s):  
Optimal Control ◽  
Successive Approximation ◽  
Nonlinear Optimal Control ◽  
Suboptimal Control ◽  
Control Law ◽  
Approximation Approach ◽  
Nonlinear Compensation ◽  
Successive Approximation Approach ◽  
Feedback Optimal Control ◽  
Persistent Disturbances

A new feedforward and feedback optimal control law for a class of nonlinear systems with persistent disturbances is presented in this paper. By using a successive approximation approach (SAA), the original nonlinear optimal control problem is transformed into a sequence of nonhomogeneous linear two-point boundary value (TPBV) problems. The optimal control law obtained consists of analytical linear feedforward and feedback terms and a nonlinear compensation term which is the limit of the solution sequence for the adjoint vector differential equations. By using the finite-step iteration of nonlinear compensation sequence, we can obtain a feedforward and feedback suboptimal control law. A disturbance observer is designed to get a physically realizable controller. Simulation examples show the effectiveness of the approach.

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.

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