scholarly journals A linear-quadratic control problem of uncertain discrete-time switched systems

2017 ◽  
Vol 13 (1) ◽  
pp. 267-282 ◽  
Author(s):  
Hongyan Yan ◽  
◽  
Yun Sun ◽  
Yuanguo Zhu ◽  
Author(s):  
El-Sayed Mostafa

An SQP trust region method for solving the discrete-time linear quadratic control problemIn this paper, a sequential quadratic programming method combined with a trust region globalization strategy is analyzed and studied for solving a certain nonlinear constrained optimization problem with matrix variables. The optimization problem is derived from the infinite-horizon linear quadratic control problem for discrete-time systems when a complete set of state variables is not available. Moreover, a parametrization approach is introduced that does not require starting a feasible solution to initiate the proposed SQP trust region method. To demonstrate the effectiveness of the method, some numerical results are presented in detail.


2007 ◽  
Vol 8 (2) ◽  
pp. 261-277 ◽  
Author(s):  
Shigeaki Koike ◽  
◽  
Hiroaki Morimoto ◽  
Shigeru Sakaguchi ◽  

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