Robust stabilisation for a class of discrete-time systems with time-varying delays via delta operators

Qiu, Jiqing; Xia, Yuanqing; Yang, Hongjiu; Zhang, J.

doi:10.1049/iet-cta:20070070

Cited by 113 publications

(100 citation statements)

References 21 publications

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“…The proposed method will be applied to design a robust sliding mode controller for the simplified truck-trailer system, which was proposed as in [25], and the system associated with delta operator is described as …”

Section: Numerical Examplementioning

confidence: 99%

Adaptive Sliding Mode Control for High-Frequency Sampled-Data Systems with Actuator Faults

Zhao¹,

Liu²,

Liu³

et al. 2018

Designs

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This paper investigates the sliding mode control for high-frequency sampled-data systems with actuator faults. Besides matched nonlinearity, this paper also considers unmeasurable states and unknown actuator degradation ratio as important factors of the overall system. The estimates of system state vector are obtained by an adaptive sliding mode observer method firstly. Then, a novel integral-type sliding surface, corresponding to the unified closed-loop delta operator system, is provided based on aforementioned estimation values, and the fault closed-loop system is proven to be stable by the proposed sliding mode control law. Finally, the fault-tolerant control theory is verified to be valid via a practical simulation example.

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Section: Numerical Examplementioning

confidence: 99%

Adaptive Sliding Mode Control for High-Frequency Sampled-Data Systems with Actuator Faults

Zhao¹,

Liu²,

Liu³

et al. 2018

Designs

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“…The numerical advantage of the delta operator approach has been clearly shown in [6], which has shown that the delta operator system in -domain can be reduced to the traditional discrete system in the z-domain or continuous system s-domain when sampling period is 1 or tends to 0, respectively.…”

Section: Remarkmentioning

confidence: 99%

“…The proposed method will be applied to design a robust sidling mode controller for truck-trailer system, which was proposed as in [6]. Consider the truck-trailer model shown in Figure 1, which can be modeled aṡ…”

Section: Examplementioning

confidence: 99%

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Robust adaptive sliding mode control for uncertain delta operator systems

Yang¹,

Xia²,

Fu³

et al. 2010

Adaptive Control & Signal

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In this paper, a robust adaptive sliding mode controller is presented for delta operator systems with mismatched uncertainties and exogenous disturbances. The parameters of the delta operator system are taken for norm-bounded uncertainties. The exogenous disturbance is also assumed to be bounded. After the statement of a sufficient condition for the existence of linear sliding surface based on linear matrix inequality technique, a robust reaching motion control method for delta operator systems is presented. Afterwards, an adaptive sliding mode controller for delta operator systems is designed. A bridge between the robust adaptive sliding mode control and the delta operator system framework is made. Numerical example is given to illustrate the effectiveness of the developed techniques.

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“…Lemma 1. The property of delta operator: for any time function x(t) and y(t), it holds that 35 ∂(x(t)y(t)) = ∂x(t)y(t) + x(t)∂y(t) + T ∂x(t)∂y(t)…”

mentioning

confidence: 99%

Robust ℋ_∞ filtering design for Takagi–Sugeno fuzzy systems with time-varying delay via delta operator approach

2018

Advances in Mechanical Engineering

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The problem of robust H N filtering design for Takagi-Sugeno fuzzy systems with time-varying delay via delta operator approach is investigated. The time-varying delay and parameter uncertainties are assumed to be of an internal-like type and a structured linear fractional form, respectively. Based on a Lyapunov-Krasovskii functional in delta domain, robust H N filter scheme is proposed. Then, a sufficient condition is established for the existence of the desired filter in terms of linear-matrix inequalities. A numerical example is provided to illustrate the design procedure of the present method.

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Robust stabilisation for a class of discrete-time systems with time-varying delays via delta operators

Cited by 113 publications

References 21 publications

Adaptive Sliding Mode Control for High-Frequency Sampled-Data Systems with Actuator Faults

Adaptive Sliding Mode Control for High-Frequency Sampled-Data Systems with Actuator Faults

Robust adaptive sliding mode control for uncertain delta operator systems

Robust ℋ_∞ filtering design for Takagi–Sugeno fuzzy systems with time-varying delay via delta operator approach

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Robust stabilisation for a class of discrete-time systems with time-varying delays via delta operators

Cited by 113 publications

References 21 publications

Adaptive Sliding Mode Control for High-Frequency Sampled-Data Systems with Actuator Faults

Adaptive Sliding Mode Control for High-Frequency Sampled-Data Systems with Actuator Faults

Robust adaptive sliding mode control for uncertain delta operator systems

Robust ℋ∞ filtering design for Takagi–Sugeno fuzzy systems with time-varying delay via delta operator approach

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Product

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Robust ℋ_∞ filtering design for Takagi–Sugeno fuzzy systems with time-varying delay via delta operator approach