Asymptotics of the Solution to the Minimization Problem of the Integral Quadratic Performance Index on Trajectories of a Quasi-Linear System

2019 ◽  
Vol 58 (5) ◽  
pp. 695-706
Author(s):  
A. I. Kalinin ◽  
L. I. Lavrinovich
Keyword(s):  
Linear System ◽  
Minimization Problem ◽  
Performance Index ◽  
Quadratic Performance Index ◽  
Quadratic Performance ◽  
Quasi Linear System

scholarly journals Parametric optimization of neutral linear system with two delays with P-controller

2011 ◽  
Vol 21 (4) ◽  
pp. 363-372 ◽  
Author(s):  
Józef Duda
Keyword(s):  
Linear System ◽  
Performance Index ◽  
Lyapunov Functional ◽  
Parametric Optimization ◽  
Neutral Type ◽  
Neutral System ◽  
Initial State ◽  
Quadratic Performance Index ◽  
Two Delays ◽  
Quadratic Performance

Parametric optimization of neutral linear system with two delays with P-controller In the paper the problem of parametric optimization of a linear neutral system with two delays accomplished with respect to the integral quadratic performance index is formulated and solved. A method of computing the value of performance index relies on determining such a Lyapunov functional defined on the state space that its value for the initial state is equal to that of performance index. In the paper the form of Lyapunov functional is assumed and a method of computing its coefficients is given. An example illustrating the application of the theory discussed is presented. It concerns a system with the P-controller designed to control a plant with two delays both retarded and neutral type. For such a system the value of the considered performance index is determined.

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.

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