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Dissipative analysis for aircraft flight control systems with randomly occurring uncertainties via non-fragile sampled-data control

Author

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  • Kumar, S. Vimal
  • Anthoni, S. Marshal
  • Raja, R.

Abstract

This work investigates the problem of robust dissipative analysis for aircraft flight control systems via non-fragile sampled-data control approach. The uncertainties occurring in the system parameter is assumed to be random and satisfy the Bernoulli distribution. The main objective of this work is to design a non-fragile sampled-data controller such that the resulting closed-loop system is robustly stochastically stable and strictly (Q,S,R)-α-dissipative. By constructing a suitable augmented Lyapunov–Krasovskii functional (LKF) with Lyapunov stability theory, some sufficient conditions are composed in the structure of linear matrix inequalities (LMIs) and it can be interpreted through some known software collection. Finally, a practical example with simulation is provided to indicate the usefulness of the suggested control design technique.

Suggested Citation

  • Kumar, S. Vimal & Anthoni, S. Marshal & Raja, R., 2019. "Dissipative analysis for aircraft flight control systems with randomly occurring uncertainties via non-fragile sampled-data control," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 155(C), pages 217-226.
    • Handle: RePEc:eee:matcom:v:155:y:2019:i:c:p:217-226
    DOI: 10.1016/j.matcom.2018.03.009
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    References listed on IDEAS

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    1. Qian, Wei & Liu, Juan & Fei, Shumin, 2012. "New augmented Lyapunov functional method for stability of uncertain neutral systems with equivalent delays," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 84(C), pages 42-50.
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    3. Sakthivel, R. & Rathika, M. & Santra, Srimanta & Zhu, Quanxin, 2015. "Dissipative reliable controller design for uncertain systems and its application," Applied Mathematics and Computation, Elsevier, vol. 263(C), pages 107-121.
    4. Su, Lei & Shen, Hao, 2015. "Mixed H∞/passive synchronization for complex dynamical networks with sampled-data control," Applied Mathematics and Computation, Elsevier, vol. 259(C), pages 931-942.
    5. Vimal Kumar, S. & Raja, R. & Marshal Anthoni, S. & Cao, Jinde & Tu, Zhengwen, 2018. "Robust finite-time non-fragile sampled-data control for T-S fuzzy flexible spacecraft model with stochastic actuator faults," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 483-497.
    6. Qian, Wei & Liu, Juan & Sun, Youxian & Fei, Shumin, 2010. "A less conservative robust stability criteria for uncertain neutral systems with mixed delays," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(5), pages 1007-1017.
    7. Raja, R. & Zhu, Quanxin & Senthilraj, S. & Samidurai, R., 2015. "Improved stability analysis of uncertain neutral type neural networks with leakage delays and impulsive effects," Applied Mathematics and Computation, Elsevier, vol. 266(C), pages 1050-1069.
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    Cited by:

    1. Nguyen, Khanh Hieu & Kim, Sung Hyun, 2024. "Improved stability and stabilization criteria of sampled-data control systems based on an enhanced looped-functional," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 215(C), pages 69-81.
    2. Sakthivel, R. & Suveetha, V.T. & Nithya, V. & Sakthivel, R., 2021. "Finite-time reliable filtering for Takagi–Sugeno fuzzy semi-Markovian jump systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 185(C), pages 403-418.
    3. Visakamoorthi, B. & Muthukumar, P., 2022. "Fuzzy sampled-data control for single-master multi-slave teleoperation systems with stochastic actuator faults," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 198(C), pages 375-387.
    4. Mathiyalagan, K. & Ragul, R., 2022. "Observer-based finite-time dissipativity for parabolic systems with time-varying delays," Applied Mathematics and Computation, Elsevier, vol. 413(C).
    5. Yang, Te & Wang, Zhen & Xia, Jianwei & Shen, Hao, 2023. "Sampled-data exponential synchronization of stochastic chaotic Lur’e delayed systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 203(C), pages 44-57.

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