Parametric absolute stability of multivariable Lur'e systems

✍ Scribed by Teruyo Wada; Masao Ikeda; Yuzo Ohta; Dragoslav D. Šiljak

• Book ID: 104105613
• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 171 KB
• Volume: 36
• Category: Article
• ISSN: 0005-1098
• DOI: 10.1016/s0005-1098(00)00052-2

✦ Synopsis

The objective of this paper is to consider parametric absolute stability of multivariable Lur'e systems with uncertain parameters and constant reference inputs. Both state-space and frequency-domain conditions are formulated to guarantee that the system remains stable despite the shift of the equilibrium location caused by changes of uncertain parameters and reference inputs. The state-space condition can be tested using existing software tools for solving linear matrix inequalities. For testing the Popov-type frequencydomain condition, the value set software tool for the Interval Arithmetic can be used.