Passivity-based sliding mode control of uncertain singular time-delay systems

Wu, Ligang; Zheng, Wei Xing

doi:10.1016/j.automatica.2009.05.014

Cited by 303 publications

(165 citation statements)

References 23 publications

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“…Sliding mode control (SMC), due to its attractive features such as fast response and good transient response, insensitivity to variations in system parameters and external disturbances, has become an effective robust control approach for a wide variety of practical engineering systems such as robot manipulators, aircraft, underwater vehicles, spacecraft, flexible space structures, electrical motors, power systems and automotive engines [3,20,32]. Many results have been reported on sliding mode control for different kinds of control systems, including stochastic systems [2,[16][17][18], uncertain systems [10,21,23,26,29], time-delay systems [15,17,23,25,26,31], Markovian jump systems [2,9,11,16,17,24,25] and singular systems [5][6][7]12,14,[22][23][24][25]31]. Wu and Ho D.W.C [22] studied SMC of singular stochastic hybrid systems.…”

Section: Introductionmentioning

confidence: 99%

“…But the above approaches proposed in the above papers are not workable for singular systems. On the other hand, the sliding mode control problem for singular time-delay systems were considered to guarantee the robust exponential stability and generalized quadratical stability in [5] and [23], respectively. Wu et al [24] presented some good results about state estimation and sliding mode control of Markovian jump singular systems.…”

Section: Introductionmentioning

confidence: 99%

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Observer-Based $$H_\infty $$ H ∞ Sliding Mode Controller Design for Uncertain Stochastic Singular Time-Delay Systems

Kao

Xie

Wang

et al. 2015

Circuits Syst Signal Process

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The paper is concerned with the observer-based H ∞ sliding mode controller design for a class of uncertain stochastic singular time-delay systems subjected to input nonlinearity. Using the sliding mode control, a robust law is established to guarantee the reachability of the sliding surface in a finite time interval, and the sufficient condition for asymptotic stability of the error system and sliding mode dynamics with disturbance attenuation level is presented in terms of linear matrix inequalities. Finally, an example illustrates the proposed method.

show abstract

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Observer-Based $$H_\infty $$ H ∞ Sliding Mode Controller Design for Uncertain Stochastic Singular Time-Delay Systems

Kao

Xie

Wang

et al. 2015

Circuits Syst Signal Process

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“…In recent years, with the wide application of digital controllers, the discrete-time sliding mode control (DT-SMC) has attracted more attention [9,10]. Different from the continuous-time SMC [11,12], it is challenging to drive the plant to the designed sliding mode surface due to the finite sampling rate [13] under the discrete-time framework. Thus, the study on the reaching law for the DT-SMC is of practical importance.…”

Section: Introductionmentioning

confidence: 99%

Robust H ∞ sliding mode control with pole placement for a fluid power electrohydraulic actuator (EHA) system

Zhang

Liu

Wang

et al. 2014

Int J Adv Manuf Technol

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In this paper, we exploit the sliding mode control problem for a fluid power electrohydraulic actuator (EHA) system. To characterize the nonlinearity of the friction, the EHA system is modeled as a linear system with a system uncertainty. Practically, it is assumed that the system is also subject to the load disturbance and the external noise. An integral sliding mode controller is proposed to design. The advanced techniques such as the H ∞ control and the regional pole placement are employed to derive the optimal feedback gain which can be calculated by solving a necessary and sufficient condition in the form of linear matrix inequality. A sliding mode control law is developed such that the sliding mode reaching law is satisfied. Simulation and comparison results show the effectiveness of the proposed design method.

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“…It is known that the passivity theory has played an important role in circuits, networks, systems, and control theory; a growing amount of research has adopted the concept of passivity to ensure stability of dynamic systems [18,27,28]. Specifically, for Markovian jump systems, the passivity criterion was developed in [7,22].…”

Section: Introductionmentioning

confidence: 99%

Passivity-based Control for Markovian Jump Systems via Retarded Output Feedback

Shen

Song

et al. 2011

Circuits Syst Signal Process

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This paper is concerned with the problem of passivity-based control for Markovian jump systems via retarded output feedback controllers. A delaydependent passivity criterion is obtained in terms of linear matrix inequalities. Based on this, a sufficient condition is proposed for the design of a retarded output feedback controller which ensures that the closed-loop system is passive. By using the sequential linear programming matrix method, a desired retarded output feedback controller can be constructed. Numerical examples are provided to demonstrate the advantage and effectiveness of the proposed method.

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Passivity-based sliding mode control of uncertain singular time-delay systems

Cited by 303 publications

References 23 publications

Observer-Based $$H_\infty $$ H ∞ Sliding Mode Controller Design for Uncertain Stochastic Singular Time-Delay Systems

Observer-Based $$H_\infty $$ H ∞ Sliding Mode Controller Design for Uncertain Stochastic Singular Time-Delay Systems

Robust H ∞ sliding mode control with pole placement for a fluid power electrohydraulic actuator (EHA) system

Passivity-based Control for Markovian Jump Systems via Retarded Output Feedback

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