Robust H∞ Controller design based on Generalized Dynamic Observer for Uncertain Singular system with Disturbance

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Saeed Jalali Seyed Mohsen; Akbarzadeh Kalat Ali

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Journal: Journal of Control Year:2021 | Volume:15 | Issue:1 Page(s): 51-66

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Title

Robust H∞ Controller design based on Generalized Dynamic Observer for Uncertain Singular system with Disturbance

Author(s)

Saeed Jalali Seyed Mohsen | Akbarzadeh Kalat Ali | Issue Writer Certificate

Keywords

Uncertain singular systems

generalized dynamic observer

Observer based controller

Robust H∞controller

Linear matrix inequalities

Abstract

This paper presents a robust H∞ controller design, based on a generalized dynamic observer for Uncertain singular systems in the presence of disturbance. The controller guarantee that the closed loop system be admissible. The main advantage of this method is that the uncertainty can be found in the system, the input and the output matrices. Also the generalized dynamic observer is used to estimate the states of system. This type of observer increases the steady state accuracy because of the integral term, and because of the dynamic term, it has a higher estimation speed than proportional-integral observers. First, the necessary condition for existence a generalized dynamic robust observer is presented and some coefficients matrices of observer are computed that the estimation error asymptotically converges to zero. The robust H∞ controller is then designed using state feedback in order to guarantee that the closed loop system is admissible. The existence conditions of the observer and the controller are given simultaneously using suitable Lyapunov function. Moreover, existing inequalities are transformed into Linear matrix inequalities (LMI) using a set of algebraic relationships, and by solving these LMIs, the coefficients of the observer and the controller are obtained. Finally, by presenting an algorithm, the computational method will be expressed in a systematic way, and a numerical example demonstrates the efficiency of proposed method.

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APA: Copy

Saeed Jalali, Seyed Mohsen, & Akbarzadeh Kalat, Ali. (2021). Robust H∞ Controller design based on Generalized Dynamic Observer for Uncertain Singular system with Disturbance. JOURNAL OF CONTROL, 15(1 ), 51-66. SID. https://sid.ir/paper/954565/en

Vancouver: Copy

Saeed Jalali Seyed Mohsen, Akbarzadeh Kalat Ali. Robust H∞ Controller design based on Generalized Dynamic Observer for Uncertain Singular system with Disturbance. JOURNAL OF CONTROL[Internet]. 2021;15(1 ):51-66. Available from: https://sid.ir/paper/954565/en

IEEE: Copy

Seyed Mohsen Saeed Jalali, and Ali Akbarzadeh Kalat, “Robust H∞ Controller design based on Generalized Dynamic Observer for Uncertain Singular system with Disturbance,” JOURNAL OF CONTROL, vol. 15, no. 1 , pp. 51–66, 2021, [Online]. Available: https://sid.ir/paper/954565/en

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