Optimal control of a two-dimensional linear system with a quadratic performance index with constraints on the trajectory and the control

• Autorzy: Barbara Biły
• Języki publikacji: EN

Abstrakty

EN

The main purpose of this note is to present a method for solving the linear-quadratic optimal regulator for discrete, linear general two-dimensional system with constant coefficients. The quadratic optimal regulator problem can be formulated: find of sequence of control vectors in fixed rectangle, which transfer the system to given final state vector and minimizes the quadratic performance index, with constraints of control and state vector. This problem, by transformation for systemand performance index is reduced to equivalent mathematical programming problem. Necessary and sufficient conditions are established for the existence of a solution to this problem. With slight modifications the considerations can be extended for 2-D systems with variable coefficient and n-D linear systems.

PL

.

Słowa kluczowe

EN

Linear-quadratic problems; Other methods

• Wydawca: Polish Mathematical Society
• Czasopismo: Mathematica Applicanda
• Rocznik: 1997
• Tom: 26
• Numer: 40

Daty

wydano

1997

online

2016-10-28

Twórcy

autor

Barbara Biły

Identyfikatory

DOI

10.14708/ma.v26i40.1856