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Research Papers

# Reliable Dissipative Sampled-Data Control for Uncertain Systems With Nonlinear Fault Input

[+] Author and Article Information
R. Sakthivel

Department of Mathematics,
Sungkyunkwan University,
Suwon 440-746, South Korea
e-mail: krsakthivel@yahoo.com

S. Vimal Kumar

Department of Mathematics,
RVS Technical Campus-Coimbatore,
Coimbatore 641402, India
e-mail: svimalkumar16@gmail.com

D. Aravindh

Department of Mathematics,
PPG Institute of Technology,
Coimbatore 641035, India
e-mail: aravindhjkk@gmail.com

P. Selvaraj

Department of Mathematics,
Anna University-Regional Campus,
Coimbatore 641046, India
e-mail: selvamath89@gmail.com

1Corresponding author.

Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received July 6, 2015; final manuscript received October 29, 2015; published online December 4, 2015. Assoc. Editor: Haiyan Hu.

J. Comput. Nonlinear Dynam 11(4), 041008 (Dec 04, 2015) (9 pages) Paper No: CND-15-1201; doi: 10.1115/1.4031980 History: Received July 06, 2015; Revised October 29, 2015

## Abstract

This paper investigates the robust reliable β-dissipative control for uncertain dynamical systems with mixed actuator faults via sampled-data approach. In particular, a more general reliable controller containing both linear and nonlinear parts is constructed for the considered system. Then, by applying the input delay approach, the sampling measurement of the digital control signal is transformed into time-varying delayed one. The aim of this paper is to design state feedback sampled-data controller to guarantee that the resulting closed-loop system to be strictly (Q, S, R)-β-dissipative. By constructing appropriate Lyapunov function and employing a delay decomposition approach, a new set of delay-dependent sufficient stabilization criteria is obtained in terms of linear matrix inequalities (LMIs). Moreover, the obtained LMIs are dependent, not only upon upper bound of time delay but also depend on the dissipative margin β and the actuator fault matrix. As special cases, $H∞$ and passivity control performances can be deduced from the proposed dissipative control result. Finally, numerical simulation is provided based on a flight control model to verify the effectiveness and applicability of the proposed control scheme.

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## Figures

Fig. 1

Simulation results for uncertain system in the absence of nonlinear fault: (a) state trajectory of closed-loop system and (b) control performance

Fig. 2

Simulation results for uncertain system in presence of nonlinear fault: (a) state trajectory of closed-loop system and (b) control performance

Fig. 3

State trajectory of open-loop system

Fig. 4

Disturbance

Fig. 5

H∞ simulation results for uncertain system in presence of nonlinear fault: (a) state trajectory of closed-loop system and (b) control performance

Fig. 6

Mixed H∞ and passivity simulation results for uncertain system in presence of nonlinear fault: (a) state trajectory of closed-loop system and (b) control performance

Fig. 7

Sector bounded constraint simulation results for uncertain system in presence of nonlinear fault: (a) state trajectory of closed-loop system and (b) control performance

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