scholarly journals Optimal controllability of manpower system with linear quadratic performance index

2014 ◽  
Vol 28 (2) ◽  
pp. 151-166 ◽  
Author(s):  
Akaninyene Udo Udom
Keyword(s):  
Performance Index ◽  
Linear Quadratic ◽  
Quadratic Performance Index ◽  
Quadratic Performance ◽  
Manpower System

SURVEY OF LINEAR QUADRATIC ROBUST CONTROL

2002 ◽  
Vol 6 (1) ◽  
pp. 19-39 ◽  
Author(s):  
Pierre Bernhard
Keyword(s):  
Robust Control ◽  
Performance Index ◽  
Control Problems ◽  
Linear Quadratic ◽  
Quadratic Problem ◽  
Quadratic Performance Index ◽  
Quadratic Performance ◽  
Per Se

We review several control problems, all related to robust control in some way, that lead to a minimax linear quadratic problem. We stress the fact that although an augmented performance index appears, containing an L2 norm of a disturbance signal, only the nonaugmented quadratic performance index is of interest per se in each case.

scholarly journals Suboptimal Regulation of a Class of Bilinear Interconnected Systems with Finite-Time Sliding Planning Horizons

2008 ◽  
Vol 2008 ◽  
pp. 1-26 ◽  
Author(s):  
M. de la Sen ◽  
Aitor J. Garrido ◽  
J. C. Soto ◽  
O. Barambones ◽  
I. Garrido
Keyword(s):  
Control Law ◽  
State Variables ◽  
Linear Quadratic ◽  
Equivalent Representation ◽  
Quadratic Performance Index ◽  
Matrix Sequence ◽  
Control Scheme ◽  
Quadratic Performance ◽  
System Equations ◽  
Riccati Matrix

This paper focuses on the suboptimization of a class of multivariable discrete-time bilinear systems consisting of interconnected bilinear subsystems with respect to a linear quadratic optimal regulation criterion which involves the use of state weighting terms only. Conditions which ensure the controllability of the overall system are given as a previous requirement for optimization. Three transformations of variables are made on the system equations in order to implement the scheme on an equivalent linear system. This leads to an equivalent representation of the used quadratic performance index that involves the appearance of quadratic weighting terms related to both transformed input and state variables. In this way, a Riccati-matrix sequence, allowing the synthesis of a standard feedback control law, is obtained. Finally, the proposed control scheme is tested on realistic examples.

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