Decentralized optimal controller design for multimachine power systems using successive approximation approach

2013 ◽  
Vol 350 (10) ◽  
pp. 2994-3010 ◽  
Author(s):  
Salwa Elloumi ◽  
Basma Abidi ◽  
Naceur Benhadj Braiek
Keyword(s):  
Power Systems ◽  
Successive Approximation ◽  
Controller Design ◽  
Optimal Controller ◽  
Approximation Approach ◽  
Successive Approximation Approach

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.

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