Composite Control of Nonlinear Singularly Perturbed Systems via Approximate Feedback Linearization

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	Composite Control of Nonlinear Singularly Perturbed Systems via Approximate Feedback Linearization
	Aleksey Kabanov; Vasiliy Alchakov
发表期刊	International Journal of Automation and Computing
ISSN	1476-8186
	2020
卷号	17 期号:4 页码:610-620
摘要	This article is devoted to the problem of composite control design for continuous nonlinear singularly perturbed (SP) system using approximate feedback linearization (AFL) method. The essence of AFL method lies in the feedback linearization only of a certain part of the original nonlinear system. According to AFL approach, we suggest to solve feedback linearization problems for continuous nonlinear SP system by reducing it to two feedback linearization problems for slow and fast subsystems separately. The resulting AFL control is constructed in the form of asymptotic composition (composite control). Standard procedure for the composite control design consists of the following steps: 1) system decomposition, 2) solution of control problem for fast subsystem, 3) solution of control problem for slow subsystem, 4) construction of the resulting control in the form of the composition of slow and fast controls. The main difficulty during system decomposition is associated with dynamics separation condition for nonlinear SP system. To overcome this, we propose to change the sequence of the design procedure: 1) solving the control problem for fast state variables part, 2) system decomposition, 3) solving the control problem for slow state variables part, 4) construction of the resulting composite control. By this way, fast feedback linearizing control is chosen so that the dynamics separation condition would be met and the fast subsystem would be stabilizable. The application of the proposed approach is illustrated through several examples.
关键词	Approximate feedback linearization (AFL) composite control nonlinear singularly perturbed system order reduction decomposition.
文献类型	期刊论文
条目标识符	http://ir.ia.ac.cn/handle/173211/42283
专题	学术期刊_Machine Intelligence Research
作者单位	Sevastopol State University, Sevastopol 299053, Russian Federation
推荐引用方式 GB/T 7714	Aleksey Kabanov,Vasiliy Alchakov. Composite Control of Nonlinear Singularly Perturbed Systems via Approximate Feedback Linearization[J]. International Journal of Automation and Computing,2020,17(4):610-620.
APA	Aleksey Kabanov,&Vasiliy Alchakov.(2020).Composite Control of Nonlinear Singularly Perturbed Systems via Approximate Feedback Linearization.International Journal of Automation and Computing,17(4),610-620.
MLA	Aleksey Kabanov,et al."Composite Control of Nonlinear Singularly Perturbed Systems via Approximate Feedback Linearization".International Journal of Automation and Computing 17.4(2020):610-620.

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