Step-Like Contrast Structure of Singularly Perturbed Optimal Control Problem

Step-like Contrast Structure of Singularly Perturbed Optimal Control Problem

In this paper, the existence of step-like contrast structure for a class of singularly perturbed optimal control problem is shown by the contrast structure theory. By means of direct scheme of boundary function method, we construct the uniformly valid asymptotic solution for the singularly perturbed optimal control problem. Finally, an example is presented to show the result. 2000 Mathematics S...

On Step-Like Contrast Structure of Singularly Perturbed Systems

The existence of a step-like contrast structure for a class of high-dimensional singularly perturbed system is shown by a smooth connection method based on the existence of a first integral for an associated system. In the framework of this paper, we not only give the conditions under which there exists an internal transition layer but also determine where an internal transition time is. Meanwh...

Near-optimal control of linear multiparameter singularly perturbed systems

In this note, the linear quadratic optimal control for multiparameter singularly perturbed systems is studied. The attention is focused on the design of a new near-optimal controller. The resulting controller achieves approximation of the optimal cost. The proposed algorithm has been numerically tested on a real physical example and produced useful results.

Near-optimal control of nonstandard singularly perturbed systems

The Guaranteed Cost Control Problem of Uncertain Singularly Perturbed Systems

In this paper we study the algebraic Riccati equation corresponding to the guaranteed cost control theory for an uncertain singularly perturbed system. The construction of the controller involves solving the full-order algebraic Riccati equation with small parameter ε. Under control-oriented assumptions, we first provide the sufficient conditions such that the full-order algebraic Riccati equat...