Delay-Dependent Stability and \(H_{\infty }\) Control for 2-D Markovian Jump Delay Systems with Missing Measurements and Sensor Nonlinearities

Abstract

This paper investigates the problem of stability and H∞ control for 2-D time-delayed Markovian jump systems with missing measurements and sensor nonlinearities. The measured signals transmitted between the system and the controller are supposed to be imperfect, which involves missing measurements and sensor nonlinearities. The data missing is described by a random variable that obeys the Bernoulli binary distribution, and the sensor nonlinearities are assumed to satisfy the sector conditions. The problem addressed is the design of an output feedback controller such that the resulting closed-loop system is mean-square asymptotically stable and has a prescribed H∞ performance level. By using the Lyapunovmethod and the discrete Jensen inequality, stability criteria and H∞ performance level are established, and then, the controller design problem is cast into optimization problems via twomethods. Finally, a numerical example is exploited to illustrate the effectiveness of the proposed design method. This work was supported by the National Natural Science Foundation of China (61174060, 61273107), the Fundamental Research Funds for the Central Universities (3132013334), the Dalian Leading Talent Project (841252), the Science and Technology Support Program of Langfang (2014011045). B Jiangtao Dai daijiangtao2008@163.com Ge Guo geguo@yeah.net 1 School of Control Science and Engineering, Dalian University of Technology, Dalian 116024, People’s Republic of China 2 Fundamental Science Department, North China Institute of Astronautic Engineering, Langfang 065000, People’s Republic of China Circuits Syst Signal Process

DOI: 10.1007/s00034-016-0290-y

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Cite this paper

@article{Dai2017DelayDependentSA, title={Delay-Dependent Stability and \(H_\{\infty \}\) Control for 2-D Markovian Jump Delay Systems with Missing Measurements and Sensor Nonlinearities}, author={Jiangtao Dai and Ge Guo}, journal={CSSP}, year={2017}, volume={36}, pages={25-48} }