Delay-distribution-dependent fault detection of networked control systems with stochastic quality of services

Chen, Peng; Yue, Dong; Yang, Ji Quan

doi:10.1080/00207720903147738

Cited by 7 publications

(7 citation statements)

References 25 publications

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“…The proof is completed. □ Remark It is easy to notice that the result of this lemma is less conservative than (8) proposed in Lemma 2 of , thanks to the addition of diploid negative semi‐definite convex combinational quadratic forms in (9) and (10). And Lemma has less conservatism than Lemma 3 of reported recently because of the haploid larger negative semi‐definite convex combinational quadratic form.…”

Section: Resultsmentioning

confidence: 93%

“…Altogether with Remark , the conservatism reduction in our results can be attributed to two sources: different treatment of the two time‐varying adaptive gains and employment of improved convex combination inequality in Lemma . For later comparison, we give the delay‐dependent condition in, for example, , ignoring convex combinational negative semi‐definite quadratic forms via our proposed adaptive reconfigurable scheme as follows:

[\begin{matrix} center \\ center ([], \begin{array}{c} center & [\begin{matrix} center \\ center Υ^{'} & center A_{d} X + \overset{R}{true} \\ center * & center (μ - 1) {\overset{Q}{true}}_{2} - 2 \overset{R}{true} \end{matrix}] & U \\ center & * & S \end{array}) + G^{T} Σ G & center V^{T} (d) & center ([], \begin{array}{c} center & 0 \\ center & \overset{R}{true} \\ center & 0 \end{array}) \\ center * & center \overset{R}{true} - 2 X & center 0 \\ center * & center * & center - {\overset{Q}{true}}_{1} - \overset{R}{true} \end{matrix}] < 0

where

MathClass-opϒ MathClass-rel' MathClass-rel= {\overset{Q}{true}}_{1} MathClass-bin+ {\overset{Q}{true}}_{2} MathClass-bin- \overset{R}{true} MathClass-bin+ normalSym ((), AX MathClass-bin+ B ([], (I MathClass-bin- ρ) Y_{0} MathClass-bin+ {MathClass-op\sum}_{i MathClass-rel= 1}^{m} Y_{ai} ρ_{i})) MathClass-rel= MathClass-opϒ Mat...

…”

Section: Resultsmentioning

confidence: 99%

“…The main methods to deal with delay can also be classified into two classes: delay‐independent ones and delay‐dependent ones. Usually, delay‐dependent methods can provide less conservative results than delay‐independent ones. However, the issue of time delay is often ignored in the design of FTC especially active FTC, and there are relatively few works that have actually considered the effects of time delay .…”

Section: Introductionmentioning

confidence: 99%

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Adaptive reconfigurable control of systems with time‐varying delay against unknown actuator faults

Yang

Zhang

Jiang

et al. 2013

Adaptive Control & Signal

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This work is concerned with the problem of delay-dependent adaptive fault-tolerant controller design against unknown actuator faults for linear continuous systems with time-varying delay. Based on the online estimation of possible faults by discontinuous adaptation law, identification parameters of the adaptive state feedback controller are updated autonomously to compensate the fault effects on the delayed system. For the first time, a convex combination idea and a projection-type adaptive approach are combined organically to derive the main results. A set of new delay-dependent reconfigurable stabilization criteria, which guarantee the stability of closed-loop systems in both fault-free and faulty cases, is established in terms of linear matrix inequalities. Two numerical instances for linear delayed systems and the linearized model for the lateral motion of Boeing 747 are respectively simulated to illustrate the superiority and the effectiveness of the presented adaptive delay-dependent results. 1207 implement adaptive FTC in contrast with active two-step FTC. There exist some important results on adaptive FTC, such as multiple-model adaptive FTC [4], direct model reference adaptive FTC [9], indirect adaptive robust FTC [10-12], Takagi-Sugeno fuzzy model based adaptive reliable tracking [13], and adaptive back-stepping neural reconfigurable control [14]. Finally, recent results on controller reconfiguration for active FTC to look for a minimal invasive solution should also be mentioned [15][16][17][18][19].On the other hand, time delay appears often as an important source of instability or performance degradation in a great number of important engineering problems involving material, information, or energy transportation. The main methods to deal with delay can also be classified into two classes: delay-independent ones and delay-dependent ones. Usually, delay-dependent methods [20][21][22][23][24][25][26] can provide less conservative results than delay-independent ones. However, the issue of time delay is often ignored in the design of FTC especially active FTC, and there are relatively few works that have actually considered the effects of time delay [27][28][29][30][31][32][33][34][35][36][37]. In fact, in the presence of time delay, the FTC design becomes more complex and difficult yet deserves more attention, because most safety-critical systems are usually also time critical.Most of the aforementioned references concentrate on dealing with constant time delay. However, in some practical systems, time delays are varying as a consequence of rapid or even random variations in transmission delays or motion of separated systems of master-slave type. Works on passive FTC and active two-step FTC of time-varying delay systems have been reported in [35] and [36, 37], respectively. Notably, the linear matrix inequalities (LMIs) technique and the adaptive approach to designing reliable H 1 controller for linear delayed systems was successfully combined by using the descriptor model transformation in [34]. But to t...

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Section: Resultsmentioning

confidence: 93%

[\begin{matrix} center \\ center ([], \begin{array}{c} center & [\begin{matrix} center \\ center Υ^{'} & center A_{d} X + \overset{R}{true} \\ center * & center (μ - 1) {\overset{Q}{true}}_{2} - 2 \overset{R}{true} \end{matrix}] & U \\ center & * & S \end{array}) + G^{T} Σ G & center V^{T} (d) & center ([], \begin{array}{c} center & 0 \\ center & \overset{R}{true} \\ center & 0 \end{array}) \\ center * & center \overset{R}{true} - 2 X & center 0 \\ center * & center * & center - {\overset{Q}{true}}_{1} - \overset{R}{true} \end{matrix}] < 0

where

MathClass-opϒ MathClass-rel' MathClass-rel= {\overset{Q}{true}}_{1} MathClass-bin+ {\overset{Q}{true}}_{2} MathClass-bin- \overset{R}{true} MathClass-bin+ normalSym ((), AX MathClass-bin+ B ([], (I MathClass-bin- ρ) Y_{0} MathClass-bin+ {MathClass-op\sum}_{i MathClass-rel= 1}^{m} Y_{ai} ρ_{i})) MathClass-rel= MathClass-opϒ Mat...

…”

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Adaptive reconfigurable control of systems with time‐varying delay against unknown actuator faults

Yang

Zhang

Jiang

et al. 2013

Adaptive Control & Signal

View full text Add to dashboard Cite

show abstract

“…Furthermore, the term À 12 R t k tÀ 2 _ x T ðsÞR 2 _ xðsÞds is not over bounded with Àð 2 À t þ t k Þ R t k tÀ 2 _ x T ðsÞR 2 _ xðsÞds as done in Jiang et al (2008), Peng et al (2009Peng et al ( , 2010, but rather Àðt À t k À 1 Þ R t k tÀ 2 _ x T ðsÞR 2 _ xðsÞds is taken into account, which is again dealt by Lemma 1. The comment on the term À 12 R tÀ 1 t k _ x T ðÞR 2 _ xðÞd is similar because the useful information Àð 2 À ðtÞÞ R tÀ 1 t k _ x T ðÞR 2 _ xðÞd is also considered.…”

Section: Resultsmentioning

confidence: 99%

Delay-dependent resilient-robust stabilisation of uncertain networked control systems with variable sampling intervals

Yang

Zhang²,

Liu

et al. 2012

International Journal of Systems Science

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This work is concerned with the robust resilient control problem for uncertain networked control systems (NCSs) with variable sampling intervals, variant-induced delays and possible data dropouts, which is seldom considered in current literature. It is mainly based on the continuous time-varying-delay system approach. Followed by the nominal case, delay-dependent resilient robust stabilising conditions for the closed-loop NCS against controller gain variations are derived by employing a novel Lyapunov-Krasovskii functional which makes good use of the information of both lower and upper bounds on the varying input delay, and the upper bound on the variable sampling interval as well. A feasible solution of the obtained criterion formulated as linear matrix inequalities can be gotten. A tighter bounding technique is presented for acquiring the time derivative of the functional so as to utilise many more useful elements, meanwhile neither slack variable nor correlated augmented item is introduced to reduce overall computational burden. Two examples are given to show the effectiveness of the proposed method.

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“…Time delay often appears in many practical processes and systems, such as aircraft, chemical or process control systems, neural networks, network control systems (Hale and Lunel 1993;Mao, Jiang, and Ding 2009;Peng, Yue, and Yang 2010). In recent years, the neutral systems with delay (i.e.…”

Section: Introductionmentioning

confidence: 99%

Novel compensation-based non-fragileH_∞control for uncertain neutral systems with time-varying delays

Liu

Zhang

2012

International Journal of Systems Science

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This article studies the non-fragile H 1 control problem for a class of uncertain linear neutral systems with time-varying delays, where the delay in neutral-type term includes a fast-varying case (i.e. the derivative of delay is more than one), which is seldom considered in current literature. The less conservative delay-dependent H 1 control results for this systems are proposed by applying a new Lyapunov-Krasovskii functional and a geometric series compensation method. Based on the new functional, the systems with fast-varying neutral-type delay can be handled. The benefit brought by applying the compensation method is that many more useful elements can be included in criteria, which are generally ignored when estimating the upper bound of the derivative of Lyapunov-Krasovskii functional. A numerical example is provided to verify the effectiveness of the proposed criteria.

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Delay-distribution-dependent fault detection of networked control systems with stochastic quality of services

Cited by 7 publications

References 25 publications

Adaptive reconfigurable control of systems with time‐varying delay against unknown actuator faults

Adaptive reconfigurable control of systems with time‐varying delay against unknown actuator faults

Delay-dependent resilient-robust stabilisation of uncertain networked control systems with variable sampling intervals

Novel compensation-based non-fragileH_∞control for uncertain neutral systems with time-varying delays

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Delay-distribution-dependent fault detection of networked control systems with stochastic quality of services

Cited by 7 publications

References 25 publications

Adaptive reconfigurable control of systems with time‐varying delay against unknown actuator faults

Adaptive reconfigurable control of systems with time‐varying delay against unknown actuator faults

Delay-dependent resilient-robust stabilisation of uncertain networked control systems with variable sampling intervals

Novel compensation-based non-fragileH∞control for uncertain neutral systems with time-varying delays

Contact Info

Product

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Novel compensation-based non-fragileH_∞control for uncertain neutral systems with time-varying delays