Sliding Mode Control for an Inhomogeneous Heat Equation with Global Constraint

Zhang, Shuang

doi:10.1002/asjc.1607

Cited by 12 publications

(22 citation statements)

References 53 publications

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“…According to the above improved fuzzy PID algorithm, the designed simulation algorithm is shown in Fig. Mohusuanfa_ block is a joint interface (Connecting the Simulink and Amesim softwares) [27][28][29][30][31][32][33][34][35][36][37][38][39][40][41]. The top two fuzzy blocks are EC fuzzy rules, but only one is accomplished; the below fuzzy block is E fuzzy rules.…”

Section: Establishing the Simulation Modelmentioning

confidence: 99%

Control for the New Harsh sea Conditions Salvage Crane Based on Modified Fuzzy PID

Liu

Wang

et al. 2017

Asian Journal of Control

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The new salvage crane for harsh sea conditions is a salvage and rescue device that is used for the space launch capsule. The wave compensation algorithm can improve search and rescue ability at sea, and can also provide wave compensation guidance for other sea vessels under harsh sea conditions. Firstly, compared with the traditional fuzzy PID algorithm, the wave compensation algorithm is improved in three aspects: fuzzy rules, fuzzy inputs, and fuzzy outputs. For the fuzzy rules, E and EC are used separately. E plays a main role and EC plays an auxiliary role. For the fuzzy inputs, the angle deviation is the sum of current angle and angle's changing rate. For the fuzzy outputs, the cylinder's inertia and the electro-hydraulic valve's reverse dead zone factors are taken into account, and the PID output value is set with upper limit, lower limit, and dead zone. Secondly, the control valve and the hydraulic system's model are established in AMESim. The improved algorithm is established in SIMULINK. Combining the hydraulic model with the algorithm model, we do the co-simulation analysis. Thirdly, the improved algorithm's verification experiments are carried out on a rocky platform, which can simulate the ship's instability in different sea conditions. Finally, the simulation and experimental results verify that the improved fuzzy PID algorithm enhances the salvage crane's response and robustness, and also improves the salvage effect.

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Section: Establishing the Simulation Modelmentioning

confidence: 99%

Control for the New Harsh sea Conditions Salvage Crane Based on Modified Fuzzy PID

Liu

Wang

et al. 2017

Asian Journal of Control

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“…More valuable achievements could refer to [26]- [30]. Shuang [31] introduced the BLF method into the infinite-dimensional system, and designed a controller to ensure the tracking error bounded stable, that is, the tracking error is limited to a certain range, but it cannot asymptotically converge to 0.…”

Section: Introductionmentioning

confidence: 99%

Unit Sliding Mode Control for Disturbed Crowd Dynamics System Based on Integral Barrier Lyapunov Function

Qin

2020

IEEE Access

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This paper presents a new tracking controller for a crowd dynamics system. The crowd dynamics are described by a continuum model in the macro-scale. An appropriate control variable is chosen to solve the problem of the multi-directionality of crowd movement. In order to stabilize the state density of the disturbed crowd dynamics system at a given reference density, a unit sliding mode controller based on the integral barrier Lyapunov function is designed, and the reaching law approach is used to avoid chattering. By ensuring the boundedness of the integral barrier Lyapunov function in the closed-loop, the global constraints of the system state variables are obtained. The design of the controller and the stability analysis of the closed-loop system are all done in the distributed parameter system. A numerical example illustrates the utility of the proposed controller. INDEX TERMS Integral barrier Lyapunov function, unit sliding mode control, tracking control, disturbed crowd dynamics system, distributed parameter system.

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“…Variable structure control approach has been applied to solve the nonlinear system. [1][2][3] However, the chattering phenomenon generates the unmodeled high frequency and inevitably drive systems to be unstable for variable structure control approach. Backstepping approach has been an efficient tool for some class of nonlinear systems.…”

Section: Introductionmentioning

confidence: 99%

“…The desired output trajectory y d (t) and its first r derivatives are all uniformly bounded and jj½y d (t), y (1) The original nonlinear control system can be separated with linear part and nonlinear part as follows…”

Section: Introductionmentioning

confidence: 99%

Observer-based feedback linearization control of multi-input multi-output nonlinear system and application to double rotor system

Chang

Chen

Chang

2019

Advances in Mechanical Engineering

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This study first proposes an observer-based feedback linearization control of nonlinear multi-input multi-output systems with the input-to-state stability and almost disturbance decoupling characteristics, and summarizes an efficient algorithm for deriving the almost disturbance decoupling control. The state variables for the nonlinear dynamic equations generally are not available, and a state observer is applied to estimate the state variables. The existing approach solves the almost disturbance decoupling problem under the difficult sufficient conditions including the nonlinearities which are not globally Lipschitz and disturbances which appears linearly but multiplied nonlinearities. On the contrary, this problem can be easily solved via the proposed approach without those difficult conditions in this study. The generality of this approach and implications, due to the fact that unlike Jacobian linearization feedback linearization is not only locally valid, are also shown. The double rotor multi-input multi-output system mechanical structure is a laboratory equipment for some flying viewpoints and is investigated in this study to demonstrate the practical value of the proposed results.

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Sliding Mode Control for an Inhomogeneous Heat Equation with Global Constraint

Cited by 12 publications

References 53 publications

Control for the New Harsh sea Conditions Salvage Crane Based on Modified Fuzzy PID

Control for the New Harsh sea Conditions Salvage Crane Based on Modified Fuzzy PID

Unit Sliding Mode Control for Disturbed Crowd Dynamics System Based on Integral Barrier Lyapunov Function

Observer-based feedback linearization control of multi-input multi-output nonlinear system and application to double rotor system

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