一类切换动态系统的镇定:基于riccati方程的方法

IF 1.6 4区计算机科学 Q3 AUTOMATION & CONTROL SYSTEMS

IMA Journal of Mathematical Control and Information Pub Date : 2021-08-13 DOI:10.1093/imamci/dnab022

M. B. Estrada, N. Aguillon, Marco Antonio Ortiz Castillo, J. Loiseau, M. Malabre, V. Azhmyakov, S. Salazar

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引用次数: 0

摘要

本文研究了一类具有切换结构的时变线性自治复杂系统的镇定问题。假设初始给定的切换动态系统由与线性二次型调节器(LQR)类型控制相关联的特定状态反馈策略控制。所提出的控制设计保证了闭环系统在所有可能的位置转移情况下的稳定性。在与LQR控制策略相关的代数Riccati方程的求解过程中，只需要了解与切换系统相关的代数结构。我们证明了所提出的最优LQR型状态反馈控制设计对于每一个可能的有源位置都能使闭环切换系统保持稳定。最后将本文提出的理论方法应用到单翼四旋翼飞机模型中，该模型由四旋翼飞行包线转变为飞机飞行包线。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Stabilization of a class of switched dynamic systems: the Riccati-equation-based Approach

Our paper deals with the stabilization of a class of time-dependent linear autonomous complex systems with a switched structure. The initially given switched dynamic system is assumed to be controlled by a specific state feedback strategy associated with the linear quadratic regulator (LQR) type control. The proposed control design guarantees stabilization of the closed-loop system for all of the possible location transitions. In the solution procedure of the Algebraic Riccati Equation related to the LQR control strategy, only the knowledge of the algebraic structure related to the switched system are needed. We prove that the proposed optimal LQR type state feedback control design stabilizes the closed-loop switched system for every possible active location. The theoretical approach proposed in this paper is finally applied to a model of the Single Wing Quadrotor Aircraft, when changing from its Quadrotor Flight Envelope to its Airplane Flight Envelope.

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来源期刊

IMA Journal of Mathematical Control and Information 工程技术-应用数学

CiteScore

3.30

自引率

6.70%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal is to provide an outlet for papers which are original and of high quality in mathematical control theory, systems theory, and applied information sciences. Short papers and mathematical correspondence or technical notes will be welcome, although the primary function of the journal is to publish papers of substantial length and coverage. The emphasis will be upon relevance, originality and clarify of presentation, although timeliness may well be an important feature in acceptable papers. Speculative papers that suggest new avenues for research or potential solutions to unsolved problems of control and information theory will be particularly welcome. Specific application papers will not normally be within the remit of the journal. Applications that illustrate techniques or theories will be acceptable. A prime function of the journal is to encourage the interplay between control and information theory and other mathematical sciences. All submitted papers will be judged on their merits by at least two referees and a full paper report will be available to the intending authors. Submitted articles will in general be published in an issue within six months of submission. Papers should not have previously published, nor should they be undes consideration for publication in another journal. This Journal takes publication ethics very seriously. If misconduct is found or suspected after the manuscript is published, the journal will investigate the matter and this may result in the article subsequently being retracted.