Nonlinear control laws based on linear ones using odd functions
- Авторлар: Furtat I.B.1, Gushchin P.A.1, Kopisova E.A.1
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Мекемелер:
- Institute of Problems of Mechanical Engineering RAS
- Шығарылым: № 102 (2023)
- Беттер: 58-75
- Бөлім: Control systems analysis and design
- URL: https://journals.rcsi.science/1819-2440/article/view/363792
- DOI: https://doi.org/10.25728/ubs.2023.102.4
- ID: 363792
Дәйексөз келтіру
Толық мәтін
Аннотация
The paper investigates nonlinear control laws obtained from linear one by two types of coordinate change by using odd functions. The first coordinate change consists in passing each component of the state vector through a nonlinear function, the second coordinate change is in passing the entire linear control law through a nonlinear function. To study such systems, it is proposed to represent nonlinear functions as linear ones with a nonlinear slope. Such a representation will allow using the methods of linear matrix inequalities (LMI) to study the stability of the closed-loop systems. The stability domains and the domains for the initial conditions are found, obtained as a result of a multi-step solution search procedure using LMI. It is shown that the use of the proposed nonlinear control laws makes it possible to reduce the steady-state error compared to the linear one. The simulations illustrate the theoretical conclusions.
Негізгі сөздер
Авторлар туралы
Igor Furtat
Institute of Problems of Mechanical Engineering RAS
Хат алмасуға жауапты Автор.
Email: cainenash@mail.ru
St.Peterburg
Pavel Gushchin
Institute of Problems of Mechanical Engineering RAS
Email: guschin.p@mail.ru
St.Peterburg
Esenia Kopisova
Institute of Problems of Mechanical Engineering RAS
Email: esyako@ya.ru
St.Peterburg
Әдебиет тізімі
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