Robust observer-based controller design for nonlinear parameter-varying systems with uncertainty and external disturbances

Zhu, Pingfang1; Yang, Delong2; Bai, Huihui3; Wen, Hui4,5

2023-02-01

10.1177/01423312221149345

TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL   影响因子和分区

0142-3312

1477-0369

This article investigates the robust observer-based controller design problem for nonlinear parameter-varying systems subject to uncertainty and external disturbances. First, a novel augment vector is constructed, and an corresponding model of the resulting closed-loop system is obtained. Second, by applying the Lyapunov stability theory, a class of state-and-parameter-dependent robust asymptotic stability criteria is established, and the state-and-parameter-dependent sufficient conditions for the design of the robust observer-based controller are then acquired to guarantee the stability of the resulting closed-loop system, which can be effectively solved by sum-of-squares techniques. Different from the previous researches, the proposed control algorithm enables the state-and-parameter-dependent observer and the state-and-parameter-dependent controller design of the nonlinear parameter-varying systems to enjoy the advantage of separate design. The advantage can effectively reduce the computational complexity. Finally, simulation results demonstrate that the proposed robust observer-based controller shows improved performance in presence of uncertainty and external disturbances.

Robust observer-based controller nonlinear parameter-varying systems state-and-parameter-dependent sufficient conditions sum of squares

SCI ; EI

英语

第一

Zhejiang Provincial Natural Science Foundation of China[LQ20F030001] ; Guangxi University Young and Middle-aged Teachers Research Basic Ability Improvement Project[2021KY0212] ; Natural Science Foundation of Fujian Province[2020J01284]

Automation & Control Systems ; Instruments & Instrumentation

Automation & Control Systems ; Instruments & Instrumentation

WOS:000934713300001

SAGE PUBLICATIONS LTD

20230813627679

Asymptotic stability ; Controllers ; Stability criteria

System Stability:731.4 ; Control Equipment:732.1 ; Systems Science:961

ENGINEERING

Web of Science

1.South Univ Sci & Technol, Sch Syst Design & Intelligent Mfg, Shenzhen, Peoples R China
2.Chinese Acad Sci, ShenZhen Inst Adv Technol, Shenzhen, Peoples R China
3.Zhejiang Univ Sci & Technol, Sch Automat & Elect Engn, Hangzhou, Peoples R China
4.Guilin Univ Elect Technol, Sch Informat & Commun, Guilin, Peoples R China
5.Guilin Univ Elect Technol, Sch Informat & Commun, Guilin 541004, Peoples R China

Zhu, Pingfang,Yang, Delong,Bai, Huihui,et al. Robust observer-based controller design for nonlinear parameter-varying systems with uncertainty and external disturbances[J]. TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL,2023,45(12):2375-2383.

Zhu, Pingfang,Yang, Delong,Bai, Huihui,&Wen, Hui.(2023).Robust observer-based controller design for nonlinear parameter-varying systems with uncertainty and external disturbances.TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL,45(12),2375-2383.

Zhu, Pingfang,et al."Robust observer-based controller design for nonlinear parameter-varying systems with uncertainty and external disturbances".TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL 45.12(2023):2375-2383.