### Abstract

For linear automatic control systems, many synthesis methods have been developed that exercise options of the controller structure and pa- rameters to provide the stated requirements to the system quality. Coefficient methods can compute approximate, but rather simple, correlations that link the automatic control system quality indices of a random or- der and the desired controller parameters. One of the most widely used criteria when designing an automatic control system is the system sta- bility maximum degree. In real systems, the object parameters usually are rough or can be changed within certain limits. Such parameters are called interval parameters, and such control systems are called interval control systems. It seems very interesting to provide the maximum de- gree of robust stability in the system. The approach is based on Coefficient assessment of the stability of interval systems' indices and allows maxi- mizing the robust stability degree when using unsophisticated algebraic associations.

Original language | English |
---|---|

Pages (from-to) | 248-260 |

Number of pages | 13 |

Journal | Reliable Computing |

Volume | 19 |

Issue number | 3 |

Publication status | Published - 2014 |

### Fingerprint

### Keywords

- Coefficient method
- Interval system
- Robust
- Stability degree

### ASJC Scopus subject areas

- Software
- Applied Mathematics
- Computational Mathematics

### Cite this

*Reliable Computing*,

*19*(3), 248-260.

**Maximizing stability degree of control systems under interval uncertainty using a coefficient method.** / Pushkarev, Maxim I.; Gaivoronsky, Sergey A.

Research output: Contribution to journal › Article

*Reliable Computing*, vol. 19, no. 3, pp. 248-260.

}

TY - JOUR

T1 - Maximizing stability degree of control systems under interval uncertainty using a coefficient method

AU - Pushkarev, Maxim I.

AU - Gaivoronsky, Sergey A.

PY - 2014

Y1 - 2014

N2 - For linear automatic control systems, many synthesis methods have been developed that exercise options of the controller structure and pa- rameters to provide the stated requirements to the system quality. Coefficient methods can compute approximate, but rather simple, correlations that link the automatic control system quality indices of a random or- der and the desired controller parameters. One of the most widely used criteria when designing an automatic control system is the system sta- bility maximum degree. In real systems, the object parameters usually are rough or can be changed within certain limits. Such parameters are called interval parameters, and such control systems are called interval control systems. It seems very interesting to provide the maximum de- gree of robust stability in the system. The approach is based on Coefficient assessment of the stability of interval systems' indices and allows maxi- mizing the robust stability degree when using unsophisticated algebraic associations.

AB - For linear automatic control systems, many synthesis methods have been developed that exercise options of the controller structure and pa- rameters to provide the stated requirements to the system quality. Coefficient methods can compute approximate, but rather simple, correlations that link the automatic control system quality indices of a random or- der and the desired controller parameters. One of the most widely used criteria when designing an automatic control system is the system sta- bility maximum degree. In real systems, the object parameters usually are rough or can be changed within certain limits. Such parameters are called interval parameters, and such control systems are called interval control systems. It seems very interesting to provide the maximum de- gree of robust stability in the system. The approach is based on Coefficient assessment of the stability of interval systems' indices and allows maxi- mizing the robust stability degree when using unsophisticated algebraic associations.

KW - Coefficient method

KW - Interval system

KW - Robust

KW - Stability degree

UR - http://www.scopus.com/inward/record.url?scp=84896478846&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84896478846&partnerID=8YFLogxK

M3 - Article

VL - 19

SP - 248

EP - 260

JO - Reliable Computing

JF - Reliable Computing

SN - 1385-3139

IS - 3

ER -