Time Optimal Control Laws for Bilinear Systems

被引：9

作者：

Bichiou, Salim ^{[1
]}

Bouafoura, Mohamed Karim ^{[1
]}

Braiek, Naceur Benhadj ^{[1
]}

机构：

[1] Univ Carthage, Tunisia Polytech Sch EPT, Adv Syst Lab LSA, BP 743, La Marsa 2078, Tunisia

来源：

MATHEMATICAL PROBLEMS IN ENGINEERING | 2018年 / 2018卷

关键词：

IDENTIFICATION; DESIGN;

D O I：

10.1155/2018/5217427

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The aim of this paper is to determine the feedforward and state feedback suboptimal time control for a subset of bilinear systems, namely, the control sequence and reaching time. This paper proposes a method that uses Block pulse functions as an orthogonal base. The bilinear system is projected along that base. The mathematical integration is transformed into a product of matrices. An algebraic system of equations is obtained. This system together with specified constraints is treated as an optimization problem. The parameters to determine are the final time, the control sequence, and the states trajectories. The obtained results via the newly proposed method are compared to known analytical solutions.

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页数：10

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