Application of the perturbation method for the minimization of an integral quadratic functional on the trajectories of a quasilinear system

The problem of optimization of the transient process in a quasilinear system containing a small parameter multiplying the nonlinearities is considered. This problem is to find a feasible control with the minimal value of the integral quadratic performance index. Asymptotic approximations to the opti...

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Bibliographic Details
Published in:Journal of computer & systems sciences international 2014-03, Vol.53 (2), p.149-158
Main Authors: Kalinin, A. I., Lavrinovich, L. I.
Format: Article
Language:English
Subjects:
Algebra
Algorithms
Analysis
Approximation
Asymptotic methods
Asymptotic properties
Control
Control theory
Differential equations
Engineering
Feedback
Integrals
Mathematical analysis
Mechatronics
Optimal Control
Optimization
Quadratic programming
Robotics
Studies
System theory
Trajectories
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Summary:The problem of optimization of the transient process in a quasilinear system containing a small parameter multiplying the nonlinearities is considered. This problem is to find a feasible control with the minimal value of the integral quadratic performance index. Asymptotic approximations to the optimal open-loop control and optimal feedback are constructed. Computations are reduced to the solution of the undisturbed linear-quadratic problem, integration of systems of linear differential equations, and solving linear algebraic systems of equations.
ISSN:1064-2307
1555-6530
DOI:10.1134/S1064230714020117