Passivity-Based Asynchronous Sliding Mode Control for Delayed Singular Markovian Jump Systems

Li, Fanbiao; Du, Chenglong; Yang, Chunhua; Gui, Weihua

doi:10.1109/tac.2017.2776747

Cited by 201 publications

(73 citation statements)

References 18 publications

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“…However, most of the existing results focus on the problem of asynchronous control for linear stochastic systems. Moreover, the few existing results subject to the problem of asynchronous control for nonlinear stochastic systems are assumed that all system states are measurable . In fact, in many physical systems, only a subset of states are available .…”

Section: Introductionmentioning

confidence: 99%

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Asynchronous adaptive output feedback sliding mode control for Takagi‐Sugeno fuzzy Markovian jump systems with actuator faults

Liu

Zhang

et al. 2019

Adaptive Control & Signal

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Summary In this article, the problem of asynchronous adaptive dynamic output feedback sliding mode control (SMC) for a class of Takagi‐Sugeno (T‐S) fuzzy Markovian jump systems (MJSs) with actuator faults is investigated. The asynchronous dynamic output feedback control strategy is employed, as the nonsynchronization phenomenon of jump modes exists between the plant and the controller. A novel asynchronous adaptive SMC approach is proposed to solve the synthesis problem for T‐S fuzzy MJSs with actuator faults. Sufficient conditions for stochastic asymptotic stability of T‐S fuzzy MJSs are given. Under the designed asynchronous adaptive SMC scheme, the effects of actuator faults and external disturbance can be completely compensated and the reachability of sliding surface is ensured. Finally, an example is provided to demonstrate the effectiveness of the proposed design techniques.

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Section: Introductionmentioning

confidence: 99%

“…Moreover, the few existing results subject to the problem of asynchronous control for nonlinear stochastic systems are assumed that all system states are measurable. 33,34 In fact, in many physical systems, only a subset of states are available. 35,36 Hence, the full state feedback sliding mode controller cannot be designed.…”

Section: Introductionmentioning

confidence: 99%

Asynchronous adaptive output feedback sliding mode control for Takagi‐Sugeno fuzzy Markovian jump systems with actuator faults

Liu

Zhang

et al. 2019

Adaptive Control & Signal

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“…An observer based on the sliding mode control method (SMC) was derived for the aeroelastic system . Due to the advantage of immunity from external disturbance and system uncertainty, SMC has been widely used in electric circuits , multi‐spacecrafts , autonomous airships , stochastic systems , Markovian jump systems and fault tolerant control . However, the chattering phenomenon in traditional SMC limits the application of the actual engineering.…”

Section: Introductionmentioning

confidence: 99%

“…Our work is not simply to combine the SMO and SMC, and the main difficulties come from the establishment of a novel sliding surface for the high dimensional underactuated system and from designing a reaching law that can reduce the chattering problem for the actual application. The integral sliding mode surface function used in gives us inspiration for our underactuated wing system. To eliminate or reduce the chattering, provides us with ideas.…”

Section: Introductionmentioning

confidence: 99%

Sliding Mode Observer Controller Design for a Two Dimensional Aeroelastic System with Gust Load

Yuan¹,

Qiu²,

Wang³

2018

Asian Journal of Control

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The aim of this paper is to develop state estimation and sliding mode control schemes for the vibration suppression of an underactuated wing aeroelastic system in the presence of a gust load disturbance. Ignoring structural elastic deformation and using the concentrated elastic system (spring) to simulate the overall elastic deformation, this aeroelastic model consists of a straight wing and spring system, describing flap and pitch freedoms. The corresponding dynamic motion equation is established using the Lagrange method, and the gust is modeled as a typical "1-cosine" gust. The aerodynamic lift and moment on the wing are computed by strip theory. The open loop system exhibits the limit cycle oscillations (LCOs) at a certain freestream velocity. The objective is to design a control system for suppressing the LCOs. For the purpose of control, a single trailing-edge control surface is used. It is assumed that only the pitch angle is measured and the remaining state variables needed for full state feedback are estimated by the designed observer. Then an integral sliding surface is put forward on the estimation space; a new continuous reaching law is proposed to reduce the chattering phenomena. The finite-time reachability of the predesigned sliding surface is proved and guaranteed by the designed sliding mode control law. The sufficient condition for the asymptotic stability of the closed-loop system composed of the sliding mode dynamics and the error dynamical system is derived in terms of linear matrix inequality (LMI). The effectiveness of the proposed strategy is finally demonstrated by simulation results.

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“…For examples, in the work of Liu et al 6 with a combination use of the extended state observer and SMC, input currents of three-phase two-level grid-connected power converters with uncertainties had been forced to track desired values, and in the work of Liu et al, 7 a polymer electrolyte membrane fuel cell air-feed system with uncertainties had been regulated to achieve maximize the fuel cell net power and to avoid the oxygen starvation. In the work of Li et al, 8 the problem of passivity-based asynchronous SMC for a class of uncertain singular Markovian jump systems with time delay and nonlinear perturbations was studied.…”

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confidence: 99%

Observer‐based position control of uncertain mechanical systems with measurement uncertainty

Song

Wang

2019

Intl J Robust & Nonlinear

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This paper studies the position control of uncertain mechanical systems with measurement uncertainty. Firstly, an observer using measurement signals is designed to estimate the unknown disturbances under an improved assumption of the uncertainties. The improved assumption can give smaller error estimation with same observer gain compared with the conventional assumption. Next, the essence of the observer and the method for selecting the observer gain are introduced. For the case when measurement uncertainties are not considered, the observer is allowed to have a large gain. As for the current case, it is shown that the observer with a large gain will lead to a failure. Then, by using the observed values, two switching controllers using measurement signals are proposed to realize the position control. The proposed control is a generalization of the sliding mode control without measurement uncertainty to the case with measurement uncertainty. Meanwhile, the features of the velocity change of the controlled system are discussed. Finally, as an application of the control design, the position control of a dynamic positioning system is investigated in details.The motion of the controlled system exhibits obviously three phases with different velocity features during the system moves to the target position: approximate acceleration phase, approximate uniform velocity phase, and approximate deceleration phase, and the velocity of the approximate uniform velocity phase can be easily adjusted with the change of the control gains. KEYWORDS dynamic positioning system, measurement uncertainty, observer, switching controller, uncertain mechanical systems INTRODUCTIONMechanical systems are described by second-order differential equations of the coordinates, reflecting the relations between position, velocity, and acceleration. Position control of a mechanical system aims at controlling the system to a specified position by using feedback controls with position signals, velocity signals, and acceleration signals, such as PID control, sliding mode control (SMC for short), and adaptive control. In control engineering, feedback control systems with mechanical position or velocity or acceleration as controlled variable are named servomechanism or servo, and they are widely used in various control applications, such as machine tool position control, radar tracking control, missile guidance control, rolling stabilization of ship, and control of robotic arm. It is referred to see the book of Nagrath and Gopal 1 for more details. 3606

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Passivity-Based Asynchronous Sliding Mode Control for Delayed Singular Markovian Jump Systems

Cited by 201 publications

References 18 publications

Asynchronous adaptive output feedback sliding mode control for Takagi‐Sugeno fuzzy Markovian jump systems with actuator faults

Asynchronous adaptive output feedback sliding mode control for Takagi‐Sugeno fuzzy Markovian jump systems with actuator faults

Sliding Mode Observer Controller Design for a Two Dimensional Aeroelastic System with Gust Load

Observer‐based position control of uncertain mechanical systems with measurement uncertainty

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