The robust non-fragile <i>H</i><sub>∞</sub> control for the combustion process in rocket motor

WU Yubin; ZHANG Hexin; ZHU Kairui; LI Guoliang; HUI Junjun

doi:10.11883/bzycj-2017-0231

Volume 39 Issue 3

Mar. 2019

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WU Yubin, ZHANG Hexin, ZHU Kairui, LI Guoliang, HUI Junjun. The robust non-fragile H∞ control for the combustion process in rocket motor[J]. Explosion And Shock Waves, 2019, 39(3): 034201. doi: 10.11883/bzycj-2017-0231

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WU Yubin, ZHANG Hexin, ZHU Kairui, LI Guoliang, HUI Junjun. The robust non-fragile H_∞ control for the combustion process in rocket motor[J]. Explosion And Shock Waves, 2019, 39(3): 034201. doi: 10.11883/bzycj-2017-0231

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The robust non-fragile H_∞ control for the combustion process in rocket motor

doi: 10.11883/bzycj-2017-0231

1.
Department of Control and Engineering, Rocket Force University of Engineering, Xi’an 710025, Shaanxi, China
2.
Chongqing Military Agency of the Army, Chongqing 400060, China
3.
Chinese People’s Liberation Army 96037, Baoji 721013, Shaanxi, China

Received Date: 2017-06-30
Rev Recd Date: 2017-09-08

Available Online: 2019-03-25

Publish Date: 2019-03-01

Abstract

Abstract

In this study we dealt with the robust non-fragile H_∞ controller for the combustion process in liquid propellant rocket motor chambers. In developing a less conservative H_∞ performance analysis criterion, we introduced a Lyapunov-Krasovskii functional comprising quadruple-integral term. Then, based on a new delay-partitioning method, the reciprocally convex combination technique and the integral inequality approach (IIA), we formulated the bounded real criterion in terms of linear matrix inequalities (LMIs). Furthermore, based on this bounded real criterion, we translated the nonlinear matrix inequality into the linear matrix inequality by using the matrix congruent transformation and the variable substitution technique, and obtained the parameter expression of non-fragile H_∞ controller by solving the feasible linear matrix inequality. The numerical examples we provided showed the effectiveness of the proposed theoretical results.
- non-fragile,
- reciprocally convex combination,
- Lyapunov-Krasovskii functional (LKF),
- rocket motors,
- quadruple-integral term

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References(21)

References

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