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.

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.

Decentralized observer-based optimal control using two-point boundary value successive approximation approach application for a multimachine power system

2020 ◽  
Vol 42 (9) ◽  
pp. 1641-1653 ◽  
Author(s):  
Basma Abidi ◽  
Salwa Elloumi
Keyword(s):  
Optimal Control ◽  
Power System ◽  
Successive Approximation ◽  
Boundary Value ◽  
Suboptimal Control ◽  
Control Law ◽  
Point Boundary ◽  
Approximation Approach ◽  
Successive Approximation Approach ◽  
Decentralized Observer

In this paper, we present a new decentralized observer for a class of nonlinear interconnected systems, based on an optimal control law using the two-point boundary value (TPBV) successive approximation approach. This technique, used previously to develop a nonlinear decentralized suboptimal control for a multimachine power system, inspired us to develop a new method to design a decentralized observer-based suboptimal control law for the same system. The TPBV approach is characterized by the transformation of each high order coupling nonlinear TPBV problem into a sequence of linear decoupling TPBV problems that uniformly converge to the optimal control for nonlinear interconnected large-scale systems. Sufficient conditions for the asymptotic stability of the developed feedback control scheme are proposed in terms of linear matrix inequalities (LMIs) constraints, which can be efficiently solved by the LMI optimization techniques, to compute the control and the observation gains of the overall system. We applied this approach to a three-machine power system which generators are nonlinear systems strongly interconnected. We demonstrated clearly, via advanced simulations, that this approach was able to bring good performances, improving effectively transient stability of this power system in few iterative sequences while allowing the reconstruction of its non-measurable state variables.

Sub-Optimal Control for Nonlinear Heat Equations

2012 ◽  
Vol 217-219 ◽  
pp. 2488-2491
Author(s):  
Xi Ju Zong ◽  
Xin Gong Cheng ◽  
Yong Zhang
Keyword(s):  
Optimal Control ◽  
Suboptimal Control ◽  
Linear Feedback ◽  
Control Law ◽  
Heat Equations ◽  
Nonlinear Heat Equations ◽  
Nonlinear Compensation ◽  
Linear Differential ◽  
Finite Step ◽  
Successive Approximation Approach

This paper presents a successive approximation approach (SAA) designing optimal controllers for a class of nonlinear heat equations with a quadratic performance index. By using the SAA, the optimal control problem for nonlinear heat equations is transformed into a sequence of nonhomogeneous linear differential Riccati operator equations. The optimal control law obtained consists of an accurate linear feedback term and a nonlinear compensation term which is the limit of an adjoin vector sequence. By using the finite-step iteration of the nonlinear compensation sequence, we can obtain a suboptimal control law.

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