Optimal control for 2-D nonlinear control systems
Necessary conditions for some optimal control problem for a nonlinear 2-D system are considered. These conditions can be obtained in the form of a quasimaximum principle.
Nonlinear optimal control problem with constraints for general 2-D systems
In this paper a optimal, nonlinear problem for general two-dimensional, stationary, discrete systems is presented. The state and control vectors are subject to restrictions in this optimal problem. Using a method of transformation for the system and the performance index, the problem of finding the optimal sequence of control vectors is solved by a method of ma-thematical programming. The necessary conditions are formulated. The simple numerical example illustrates the presented method.
Optimal control problem for Roesser systems
The quadratic performance index in a fixed rectangle for the Roesser model of two-dimensional, linear, stationary, discrete systems is considered. Using a method of transformation for the System and the performance index, the problem of finding the optimal sequence of control vectors is solved by a method of mathematical programming. The simple numerical example illustrates the presented method.
Optimal control of a two-dimensional linear system with a quadratic performance index with constraints on the trajectory and the control
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...
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