Novel sliding surface design for nonlinear singular systems

Hou, Huazhou; Zhang, Qingling

doi:10.1016/j.neucom.2015.11.054

Cited by 14 publications

(5 citation statements)

References 43 publications

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“…Compared with the DOB-based robust H ∞ control approach, the UDE-based method has better anti-disturbance performance. Example 4: In order to illustrate the applications of the UDEbased control approach, a practical application to the multiagent supporting systems (MASSs) is given, which is from the work of [20]. It was shown that the MASSs can be applied to large phased array radar, earthquake damage-preventing buildings and aperture spherical radio telescope.…”

Section: Simulation Examplesmentioning

confidence: 99%

“…Based on all coefficient matrices, obviously, constraint condition (8) is satisfied. The choice of filter is crucial to verify that stability condition (3) The control approach proposed in [20] is taken as the comparison. As is illustrated in Figure 8(a), after the unbounded external disturbance is put into the system, the uncertain system can also be stabilized quickly under the UDE-based controller, while sliding mode controller is failed.…”

Section: Simulation Examplesmentioning

confidence: 99%

“…Compared with the SMC method in [20], the uncertainties are required to be bounded and the external disturbances are not considered. However, when the unknown disturbances are added, the robust stability problem cannot be solved by the work of [20].…”

Section: Simulation Examplesmentioning

confidence: 99%

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Robust Control for Singular Systems Based on the Uncertainty and Disturbance Estimator

Yang

2021

IEEE Access

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This paper is devoted to investigating the robust control problem for a class of singular systems with model structure uncertainty and external disturbance. Firstly, the uncertainty and disturbance estimator (UDE)-based robust control law is established for uncertain singular systems. Secondly, the twodegree-of-freedom (2DOF) nature of singular systems under the UDE-based robust controller is revealed, which shows that asymptotic reference tracking and disturbance rejection are decoupled. Additionally, on the basis of the small-gain theorem, sufficient conditions are established to ensure robust stability of the closed-loop system and to achieve asymptotic reference tracking and disturbance rejection. Finally, three numerical examples and a practical application to the multi-agent supporting systems are provided to illustrate the validity of the methods proposed.

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Section: Simulation Examplesmentioning

confidence: 99%

Section: Simulation Examplesmentioning

confidence: 99%

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Robust Control for Singular Systems Based on the Uncertainty and Disturbance Estimator

Yang

2021

IEEE Access

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“…Furthermore, Figure 3 has brought the linear control law and the modified CNF control law together to have a better view of the differences. Second example: As stated in the works of Hou and Zhang 39 and Xi et al, 40 multiagent supporting systems (MASSs), which have the potential applications in large-diameter parabolic antennas, telescopes, water-floating plants, earthquake damage-preventing buildings, etc, can only be modeled by singular systems representation. Obviously, investigating nonstep tracking problem is necessary in such applications.…”

Section: Computer Simulationsmentioning

confidence: 99%

Modified composite nonlinear feedback control for output tracking of nonstep signals in singular systems with actuator saturation

Jafari

Binazadeh

2018

Intl J Robust & Nonlinear

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Summary This paper considers output tracking of nonstep reference signals for multi‐input multi‐output singular systems subject to actuator saturation and external disturbances. Singularity of the system alongside the actuator saturation constraint and external disturbances adds more complexity to stability analysis and controller design than normal systems. Moreover, the problem of output tracking of nonstep reference signals in singular systems via the composite nonlinear feedback (CNF) control law is not studied so far in the literature, and this article will investigate this problem for the first time by proposing the modified CNF control law. For this purpose, first, a singular reference generator system is constructed to produce the desired nonstep reference signal. Then, the dynamical error system is obtained by defining a new state vector as the tracking error and augmenting it to the main system. Different parts of the modified CNF control law are designed afterwards. Due to complexities caused by the singularity of the system and the saturation constraint, detailed mathematical calculations are done. In this regard, a theorem is given that guarantees the tracking problem for three different cases of the saturation function. Moreover, the given theorem will investigate the uniform ultimate boundedness analysis of the tracking error in the face of external disturbances. Finally, the theoretical results are affirmed by computer simulations through three examples to verify the performance and applicability of the proposed control law.

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“…On the other hand, uncertainties are inevitable exist in practical systems and influence control performance [22]- [24]. However, so far, a great number of researches are focused on the admissibility of singular systems, a few results published in the existing literature about the disturbance-rejection problem of singular systems [25], [26]. So, it is necessary to employ the EID method to reject the harmful effect of uncertainties and exogenous disturbances on the control system.…”

Section: Introductionmentioning

confidence: 99%

Robust Disturbance Rejection in Uncertain Singular Systems Using Equivalent-Input-Disturbance Method Based on Output Feedback Control

2020

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A robust disturbance-rejection problem for an uncertain singular system is considered in this paper. An equivalent-input-disturbance (EID) method is applied to improve disturbance-rejection performance. At first, the disturbance estimation is obtained by the EID method; Then, the disturbance estimation is compensation to the control input channel to offset the adverse effect of external disturbance and uncertainties on the system. Two sufficient and necessary conditions using linear matrix inequality are obtained, which can guarantee the admissibility (regularity, non-impulsiveness, and stability) for the closed-loop control system. In addition, output-feedback control laws (static, dynamic) and observer gain are obtained using the singular value decomposition method. A numerical example and simulation studies prove the validity and feasibility of the presented method. INDEX TERMS linear matrix inequality; uncertain singular system; equivalent input disturbance (EID); output-feedback control laws.

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Novel sliding surface design for nonlinear singular systems

Cited by 14 publications

References 43 publications

Robust Control for Singular Systems Based on the Uncertainty and Disturbance Estimator

Robust Control for Singular Systems Based on the Uncertainty and Disturbance Estimator

Modified composite nonlinear feedback control for output tracking of nonstep signals in singular systems with actuator saturation

Robust Disturbance Rejection in Uncertain Singular Systems Using Equivalent-Input-Disturbance Method Based on Output Feedback Control

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