Composite anti-disturbance control for Markovian jump nonlinear systems via disturbance observer

Yao, Xiuming; Guo, Lei

doi:10.1016/j.automatica.2013.05.002

Cited by 221 publications

(144 citation statements)

References 33 publications

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“…A great number of results related to such systems have been reported in the literature. For example, stability and stabilization have been studied in [8][9][10][11][12][13][14][15], H 2 and H ∞ control have been discussed in [16][17][18], and observer design and observer-based control have been considered in [19][20][21]. For more details regarding such systems, the published monographs [2,5] provide excellent tutorials.…”

Section: Introductionmentioning

confidence: 99%

Sliding mode control for descriptor Markovian jump systems with mode-dependent derivative-term coefficient

Zhang

Zhai

et al. 2015

Nonlinear Dyn

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This paper concerns sliding mode control problems for a class of descriptor Markovian jump systems with mode-dependent derivative-term coefficient. Firstly, a necessary and sufficient condition, under which such type descriptor Markovian jump systems with mode-dependent derivative-term coefficient are stochastically admissible, is proposed by means of the strictly linear matrix inequality (LMI) technique. Then a novel sliding surface function, in terms of both system states and inputs, is proposed for descriptor Markovian jump systems with mode-dependent derivative-term coefficient and a dynamic sliding mode controller is synthesized, which ensures the reachability of predefined sliding surface in finite time. It is also shown that the stochastic admissibility of the overall closed loop systems can be determined by checking the feasibility of a series of LMIs. Finally, an illustrative example on DC motor is provided to demonstrate the effectiveness of the theoretical results.

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Section: Introductionmentioning

confidence: 99%

Sliding mode control for descriptor Markovian jump systems with mode-dependent derivative-term coefficient

Zhang

Zhai

et al. 2015

Nonlinear Dyn

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“…By applying the controller (6) to the system (S 0 ) and combining with (30), we obtain the following augmented closed-loop system (S clu )…”

Section: Problem Formulation and Preliminariesmentioning

confidence: 99%

“…In order to enhance the control accuracy of systems with multiple disturbances, composite hierarchical anti-disturbance control (CHADC) strategies are proposed in Guo and Cao. 28 The main idea of CHADC is that a disturbance observer is designed to estimate disturbances generated by an exogenous system, and the disturbance estimation used in feedforward compensation plus conventional feedback control methods, such as H ' control, 29,30 sliding mode control [31][32][33] and adaptive control, 34,35 is employed to attenuate other types of disturbances. However, the exogenous system is described by a linear system with a linear output function in the existing results of CHADC theories.…”

Section: Introductionmentioning

confidence: 99%

Asymptotic attenuation and rejection for a class of cascade systems with general periodic disturbances

Hou

Sun

Sun³

2017

Advances in Mechanical Engineering

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In this article, the problem of asymptotic attenuation and rejection is investigated for a class of cascade systems with general periodic disturbances via a non-linear disturbance observer and H ' control. First, a novel disturbance observer is developed to estimate general periodic disturbances, where the disturbances are described as a linear uncertain system with a non-linear output function. Then, a composite controller is constructed by combining the disturbance estimation with the partial state feedback control law, such that, the closed-loop system is asymptotically stable and meets H ' performance. With the help of the Lyapunov function theory and the linear matrix inequality method, some sufficient conditions for the desired controller and observer gains are established. Finally, numerical and application examples are presented to demonstrate the effectiveness of the proposed scheme.

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“…A great number of realistic dynamical systems can be modeled by MJSs, such as chemical processes, communication networks, aerospace industry, and economics systems, etc. Due to MJS's great application potential in a variety of engineering, a great amount of effort has been devoted to address various control and filtering problems of MJS in the past decades [18], [8]. In particular, some researchers have attempted to investigate the aforementioned network-based control and sliding mode control problems for MJS, and some preliminary results have been obtained [17].…”

Section: Introductionmentioning

confidence: 99%

Fault-Tolerant Sliding-Mode-Observer Synthesis of Markovian Jump Systems Using Quantized Measurements

Shi

Liu

Zhang

2015

IEEE Trans. Ind. Electron.

293

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This paper investigates the design problem of sliding mode observer using quantized measurements for a class of Markovian jump systems against actuator faults. Such a problem arises in modern networked-based digital systems, where data has to be transmitted and exchanged over a digital communication channel. In this paper, a new descriptor sliding mode observer approach using quantized signals is presented, in which a discontinuous input is synthesized to reject actuator faults by an off-line static compensation of quantization effects. It is revealed that the lower bound on the density of a logarithmic quantizer is 1/3, under which the quantization effects could be compensated completely by using the sliding mode observer approach. Based on the proposed observer method, the asymptotical estimations of sate vector and quantization errors can be obtained simultaneously. Finally, an example of linearized model of an F-404 aircraft engine system is included to show the effectiveness of the presented observer design method.

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Composite anti-disturbance control for Markovian jump nonlinear systems via disturbance observer

Cited by 221 publications

References 33 publications

Sliding mode control for descriptor Markovian jump systems with mode-dependent derivative-term coefficient

Sliding mode control for descriptor Markovian jump systems with mode-dependent derivative-term coefficient

Asymptotic attenuation and rejection for a class of cascade systems with general periodic disturbances

Fault-Tolerant Sliding-Mode-Observer Synthesis of Markovian Jump Systems Using Quantized Measurements

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