Fractional Generalized KYP Lemma for Fractional Order System within Finite Frequency Range

2017/04/27 by Xiaogang Zhu, Zhu, Xiaogang, Jun‐Guo Lu +1
Engineering · Mathematics · #93C05 #Advanced Control Systems Design #FOS: Mathematics #Fractional Differential Equations Solutions #Numerical methods for differential equations #Optimization and Control (math.OC)

paper · pdf · doi:10.48550/arxiv.1704.08425

openalex publication_date 2017/04/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The celebrated GKYP is widely used in integer-order control system. However, when it comes to the fractional order system, there exists no such tool to solve problems. This paper prove the FGKYP which can be used in the analysis of problems in fractional order system. The H_∞ and L_∞ of fractional order system are analysed based on the FGKYP.

Related

• A universal framework of GKYP lemma for singular fractional order systems
• The modelling and analysis of fractional-order control systems in frequency domain
• Stability Analysis of Fractional Order Systems Described in the Lur'e Structure
• The modelling and analysis of fractional-order control systems in discrete domain
• Stability of Fractional Order Switching Systems