An improved decentralized control method for Bank‐to‐Turn missile autopilot design

Qin, Guozheng; Li, Zhongkui; Duan, Zhisheng

doi:10.1002/asjc.417

Cited by 4 publications

(3 citation statements)

References 26 publications

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“…By using (29) and Shur complement lemma, (24) and (25) which presented as the form of LMIs lead to the following inequality…”

Section: Remark 6: Equationmentioning

confidence: 99%

“…In BTT attitude control, the pitch and yaw channels are coupled through the roll rate ω x which changes within certain range during the flight, the dynamics model of BTT missile is a complicated multi‐variables coupled system. The simplified mathematic model of the pitch/yaw channel of BTT missile is given in [29]

\dot{x} = A x + B u

with

\begin{matrix} right left right left right left right left right left right left0.278em 2em 0.278em 2em 0.278em 2em 0.278em 2em 0.278em 2em 0.278em3pt \\ A & = [\begin{matrix} 1em4pt \\ - a_{1} - e_{1} & e_{1} a_{4} - a_{2} & \frac{false(J_{x} - J_{y} false) ω_{x}}{57.3 J_{z}} & \frac{e_{1} ω_{x}}{57.3} \\ 1 & - a_{4} & 0 & \frac{- ω_{x}}{57.3} \\ \frac{false(J_{z} - J_{x} false) ω_{x}}{57.3 J_{y}} & \frac{- e_{2} ω_{x}}{57.3} & - b_{1} - e_{2} & e_{2} b_{4} - b_{2} \\ 0 & \frac{ω_{x}}{57.3} & 1 & - b_{4} \end{matrix}] \\ B & = [\begin{matrix} 1em4pt \\ - e_{1} a_{5} - a_{3} & 0 \\ - a_{5} & 0 \\ 0 & e_{2} b_{5} - b_{3} \\ 0 & - b_{5} \end{matrix}] \end{matrix}

where

x = false(\begin{matrix} 1em4pt \\ ω_{z} & α & ω_{y} & β \end{matrix} false)^{normalT}

and

u = {(\begin{matrix} 1em4pt \\ δ_{z} & δ_{y} \end{matrix})}^{normalT}

are, respectively, the state vector and the inpu...…”

Section: Applicationsmentioning

confidence: 99%

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Robust finite‐time stability and stabilisation for switched linear parameter‐varying systems and its application to bank‐to‐turn missiles

Liu

Yang

2015

IET Control Theory & Applications

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Finite-time stability analysis and controller synthesis for switched linear parameter-varying (LPV) systems are discussed in this paper. A new finite-time stability condition and robust finite-time controller design method are presented for switched LPV systems with two different structured uncertainty modelling assumptions (i.e. affine linear structured uncertainty or polytopic structured uncertainty). On the one hand, by using the piecewise parameter-dependent Lyapunovlike function, a less conservativeness finite-time stability condition is established. On the other hand, the new condition based on linear matrix inequalities relieves the controller design burden of dealing with specific applications. Finally, the provided design method is highly desirable to treat the problem of attitude control of bank-to-turn missiles with different channels coupling, and computer simulations demonstrate the effectiveness and superiority of the theoretical results. IntroductionA switched system is an important class of hybrid systems and has received a considerable attention from many researchers in the last decade. It consists of several subsystems and a switching rule specifying the switches among subsystems. It can be applied into a great number of real-world systems. For example, in flight control, the controller of aircraft switches at different flight operating points along the flight trajectory [1]. (For more details, see [2] and the references therein.) Up to now, most of the existing literatures on stability of switched systems concentrate on Lyapunov asymptotic stability, which is defined over an infinite-time interval [3,4]. However, in many realistic cases, the main concern is the transient performance of the system over a fixed finite-time interval. For the study of above stability problems, the concept of finite-time stability was first introduced in [5]. Specifically, a system is said to be finitetime stable if, given a bound on the initial condition, its states remain within a prescribed bound over a fixed time interval. Then, some works on finite-time stability of linear system were further discussed in [6,7].In recent years, the concepts of finite-time stability have been extended to switched linear systems [8][9][10][11][12][13][14] and then extended further to different switched systems, such as switched positive systems [15, 16], switched delay systems [17], switched discretetime systems [18] and switched stochastic systems [19]. Since the stability of switched systems depends not only on the dynamics of each subsystem but also the properties of switching signals, among the exiting literatures, various switching signals are used, including average dwell-time switching [8], asynchronous switching [9, 10], mode-dependent average dwell-time switching [12], state-dependent switching [14]and so on. However, the problems addressed in most of the above literatures mainly focused on the switched systems without considering model uncertainty and only few papers investigated the finite-time stability of uncertain s...

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“…By using (29) and Shur complement lemma, (24) and (25) which presented as the form of LMIs lead to the following inequality…”

Section: Remark 6: Equationmentioning

confidence: 99%

\dot{x} = A x + B u

with

\begin{matrix} right left right left right left right left right left right left0.278em 2em 0.278em 2em 0.278em 2em 0.278em 2em 0.278em 2em 0.278em3pt \\ A & = [\begin{matrix} 1em4pt \\ - a_{1} - e_{1} & e_{1} a_{4} - a_{2} & \frac{false(J_{x} - J_{y} false) ω_{x}}{57.3 J_{z}} & \frac{e_{1} ω_{x}}{57.3} \\ 1 & - a_{4} & 0 & \frac{- ω_{x}}{57.3} \\ \frac{false(J_{z} - J_{x} false) ω_{x}}{57.3 J_{y}} & \frac{- e_{2} ω_{x}}{57.3} & - b_{1} - e_{2} & e_{2} b_{4} - b_{2} \\ 0 & \frac{ω_{x}}{57.3} & 1 & - b_{4} \end{matrix}] \\ B & = [\begin{matrix} 1em4pt \\ - e_{1} a_{5} - a_{3} & 0 \\ - a_{5} & 0 \\ 0 & e_{2} b_{5} - b_{3} \\ 0 & - b_{5} \end{matrix}] \end{matrix}

where

x = false(\begin{matrix} 1em4pt \\ ω_{z} & α & ω_{y} & β \end{matrix} false)^{normalT}

and

u = {(\begin{matrix} 1em4pt \\ δ_{z} & δ_{y} \end{matrix})}^{normalT}

are, respectively, the state vector and the inpu...…”

Section: Applicationsmentioning

confidence: 99%

Robust finite‐time stability and stabilisation for switched linear parameter‐varying systems and its application to bank‐to‐turn missiles

Liu

Yang

2015

IET Control Theory & Applications

View full text Add to dashboard Cite

show abstract

“…Some effective control techniques for BTT missile autopilot design have been developed over the decades. A decentralised control strategy is proposed for the BTT missile in [3], where the coupling terms are considered as structured uncertainty to tolerate more types of uncertainties. In [4], the BTT missile is regarded as a switched linear parameter‐varying system and a robust finite‐time controller design method is presented for the attitude control problem.…”

Section: Introductionmentioning

confidence: 99%