H∞ state-feedback control of time-delay systems using reciprocally convex approach

Vembarasan, V.; Balasubramaniam, P.; Joo, Er Meng

doi:10.1016/j.jprocont.2014.04.005

Cited by 20 publications

(19 citation statements)

References 41 publications

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“…The dynamic model of the rocket motor was originally given in [40]. Then, this practical and complex system is further investigated in [36,41]. The feeding system and combustion chamber equations in the absence of steady flow are linearized aṡ…”

Section: Numerical Examplementioning

confidence: 99%

“…Referring to remark 4.1, and considering the case of a continuous function h(t) satisfying (2.3) given in case 2.2, these two works [36,41] did not provide any further information. However, theorem 3.3 is derived to show a good result.…”

Section: Numerical Examplementioning

confidence: 99%

“…In recent developments, H ∞ related control methods have been widely investigated to overcome the input disturbance [30,31]. Based on the H ∞ performance theory, some studies are proposed in the case of external disturbance to design a suitable controller [32][33][34][35][36].…”

Section: Introductionmentioning

confidence: 99%

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Robust H _∞ state-feedback control for linear systems

2017

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This paper investigates the problem of robust H ∞ control for linear systems. First, the statefeedback closed-loop control algorithm is designed. Second, by employing the geometric progression theory, a modified augmented Lyapunov-Krasovskii functional (LKF) with the geometric integral interval is established. Then, parameter uncertainties and the derivative of the delay are flexibly described by introducing the convex combination skill. This technique can eliminate the unnecessary enlargement of the LKF derivative estimation, which gives less conservatism. In addition, the designed controller can ensure that the linear systems are globally asymptotically stable with a guaranteed H ∞ performance in the presence of a disturbance input and parameter uncertainties. A liquid monopropellant rocket motor with a pressure feeding system is evaluated in a simulation example. It shows that this proposed state-feedback control approach achieves the expected results for linear systems in the sense of the prescribed H ∞ performance.

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Section: Numerical Examplementioning

confidence: 99%

Section: Numerical Examplementioning

confidence: 99%

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Robust H _∞ state-feedback control for linear systems

2017

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“…Therefore, a better disturbance attenuation effect and smaller control feedback controller can be obtained accordingly. Furthermore, one should noted that from Table 1 and Table 2, the introduced stability criteria is less conservative than [10][11][12][13][14][15]. Example 2.…”

Section: Illustrative Examplementioning

confidence: 99%

“…delays, uncertainties and disturbances are employed to the stability analysis [10][11][12][13][14][15][16][17][18][19]. The delay-dependent strategies generally received much more attentions for its less conservatism than delay-independent ones, especially for the dynamic systems with a small delay range.…”

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confidence: 99%

Robust delay-derivative-dependent state-feedback control for a class of continuous-time system with time-varying delays

et al. 2016

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Quasi‐passivity‐based adaptive stabilization for switched nonlinearly parameterized systems

Pang

Zhao

2017

Adaptive Control & Signal

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This paper investigates the adaptive quasi-passification-based stabilization problem for a class of switched nonlinearly parameterized systems via average dwell time method. First, when all the subsystems have any same relative degree, the global practical stability is achieved by combining the recursive feedback quasipassification design technique with a switched adaptive control technique. The states and parameter estimation errors converge to the ball whose sizes can be reduced by choosing appropriate design parameters. Second, when the system states are unavailable for measurements, adaptive output feedback controllers are designed to stabilize the system using quasi-passivity. The proposed output feedback controllers do not depend on any state observer. Finally, three examples show the effectiveness of the proposed methods. KEYWORDSadaptive quasi-passification, recursive feedback quasi-passification, global practical stability, switched nonlinear systems, average dwell timeAs a special kind of hybrid dynamical systems, a switched system is composed of a family of continuous-time subsystems and a rule that governs the switching among them. Switched systems have attracted a great amount of attention because of their importance from both theoretical and practical points of view. 1-4 Many practical systems, such as aircraft control systems, mechanical systems and electrical systems, can be modeled as switched systems. 2,4-6 Stability analysis and stabilization problems for switched systems have been extensively studied. Since uncertainties which may cause instability and undesirable performance exist widely in real world systems, one should consider these effects on plant. H ∞ control, robust control and adaptive control are often used to deal with uncertainties. 7-13 For parametric uncertainties, adaptive control has been one of the most effective methods. The asymptotic stability is often the desired performance. 3,5,10,11,14 However, in many practical applications, asymptotic stability may be difficult to obtain due to large uncertainties. From an engineering point of view, the global practical stability can be often satisfactory. 12,13 On the other hand, passivity, introduced by Willems, 15 provides an effective tool for solving the problems of stability analysis and stabilization. 15-17 When a system involves unknown parameters, the adaptive passification and adaptive passivity-based stabilization problems were solved in. 6,18-21 However, the exact feedback passification and asymptotical stabilization problems were intractable because of the large system uncertainties. Therefore, the development of passivity-based methodology for this case would be desirable. The convention passivity property was extended to quasipassivity, 22,23 which were used to investigate the ultimate boundedness of state trajectories of nonlinear uncertain systems. Similar to the concept of strict quasi-passivity, the concepts of passivity with respect to a set and semipassivity were proposed to derive a stability property of the set....

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H∞ state-feedback control of time-delay systems using reciprocally convex approach

Cited by 20 publications

References 41 publications

Robust H _∞ state-feedback control for linear systems

Robust H _∞ state-feedback control for linear systems

Robust delay-derivative-dependent state-feedback control for a class of continuous-time system with time-varying delays

Quasi‐passivity‐based adaptive stabilization for switched nonlinearly parameterized systems

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H∞ state-feedback control of time-delay systems using reciprocally convex approach

Cited by 20 publications

References 41 publications

Robust H ∞ state-feedback control for linear systems

Robust H ∞ state-feedback control for linear systems

Robust delay-derivative-dependent state-feedback control for a class of continuous-time system with time-varying delays

Quasi‐passivity‐based adaptive stabilization for switched nonlinearly parameterized systems

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Robust H _∞ state-feedback control for linear systems

Robust H _∞ state-feedback control for linear systems