Robust H ∞ Control for a Class of Nonlinear Distributed Parameter Systems via Proportional-Spatial Derivative Control Approach

Joint Authors

Yang, Cheng-Dong
Wang, Jun-Wei
Qiu, Jianlong

Source

Abstract and Applied Analysis

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-01-12

Country of Publication

Egypt

No. of Pages

8

Main Subjects

Mathematics

Abstract EN

This paper addresses the problem of robust H ∞ control design via the proportional-spatial derivative (P-sD) control approach for a class of nonlinear distributed parameter systems modeled by semilinear parabolic partial differential equations (PDEs).

By using the Lyapunov direct method and the technique of integration by parts, a simple linear matrix inequality (LMI) based design method of the robust H ∞ P-sD controller is developed such that the closed-loop PDE system is exponentially stable with a given decay rate and a prescribed H ∞ performance of disturbance attenuation.

Moreover, a suboptimal H ∞ controller is proposed to minimize the attenuation level for a given decay rate.

The proposed method is successfully employed to address the control problem of the FitzHugh-Nagumo (FHN) equation, and the achieved simulation results show its effectiveness.

American Psychological Association (APA)

Yang, Cheng-Dong& Qiu, Jianlong& Wang, Jun-Wei. 2014. Robust H ∞ Control for a Class of Nonlinear Distributed Parameter Systems via Proportional-Spatial Derivative Control Approach. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1033890

Modern Language Association (MLA)

Yang, Cheng-Dong…[et al.]. Robust H ∞ Control for a Class of Nonlinear Distributed Parameter Systems via Proportional-Spatial Derivative Control Approach. Abstract and Applied Analysis No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-1033890

American Medical Association (AMA)

Yang, Cheng-Dong& Qiu, Jianlong& Wang, Jun-Wei. Robust H ∞ Control for a Class of Nonlinear Distributed Parameter Systems via Proportional-Spatial Derivative Control Approach. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1033890

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1033890