共查询到20条相似文献,搜索用时 46 毫秒
1.
Adaptive stabilization and regulator design for distributed-parameter systems in the case of collocated actuators and sensors 总被引:1,自引:0,他引:1
In this paper, we consider adaptive stabilization and an adaptiveregulator design for collocated distributed-parameter systemsin the case of the input and output operators being unbounded.Adaptive stabilization is realized by the concept of high-gainoutput feedback. The adaptive regulator is constructed via theconcept of high-gain output feedback, using a mechanism to estimatethe unknown parameters of the bounded disturbances. The stateof the controlled system is shown to converge to zero. 相似文献
2.
Kobayashi Toshihiro; Oya Masahiro 《IMA Journal of Mathematical Control and Information》2002,19(3):279-295
In this paper we consider the design of adaptive servomechanismfor boundary control systems in the case of the input and outputoperators being collocated. An adaptive servomechanism is constructedby the concept of high-gain output feedback and the estimationmechanism of the unknown parameters for the bounded disturbances.Moreover, a controller is designed to be inverse optimal. Itminimizes a meaningful cost functional that incorporates integralpenalty on the tracking error state, the control and the parametererror. 相似文献
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In this paper, the problem of chaos synchronization between two different uncertain chaotic systems with input nonlinearities is investigated. Both master and slave systems are perturbed by model uncertainties, external disturbances and unknown parameters. The bounds of the model uncertainties and external disturbances are assumed to be unknown in advance. First, a simple linear sliding surface is selected. Then, appropriate adaptive laws are derived to tackle the model uncertainties, external disturbances and unknown parameters. Subsequently, based on the adaptive laws and Lyapunov stability theory, a robust adaptive sliding mode control law is designed to guarantee the existence of the sliding motion. Two illustrative examples are presented to verify the usefulness and applicability of the proposed technique. 相似文献
5.
Mohammad Pourmahmood Aghababa Hasan Pourmahmood Aghababa 《Communications in Nonlinear Science & Numerical Simulation》2012,17(9):3533-3538
This paper deals with the design of a robust adaptive control scheme for chaos suppression of a class of chaotic systems. We assume that model uncertainties and external disturbances disturb the system’s dynamics. The bounds of both model uncertainties and external disturbances are assumed to be unknown in advance. Moreover, it is assumed that the nonlinear terms of the chaotic system dynamics are unknown bounded. Based on the global boundedness feature of the chaotic systems’ trajectories, a simple one input adaptive sliding mode control approach is proposed to suppress the chaos of the uncertain chaotic system. Furthermore, using a dynamical sliding manifold the discontinuous sign function in the control input is diverted to the first derivative of the control input to eliminate the chattering. Finally, the robustness of the proposed approach is mathematically proved and numerically illustrated. 相似文献
6.
Robust adaptive synchronization of different uncertain chaotic systems subject to input nonlinearity
Hamed Kebriaei M. Javad Yazdanpanah 《Communications in Nonlinear Science & Numerical Simulation》2010,15(2):430-441
In this paper, an adaptive controller is designed to ensure robust synchronization of two different chaotic systems with input nonlinearities. For this purpose, a stable sliding surface is defined and an adaptive sliding mode controller is designed to achieve robust synchronization of the systems when the control input is influenced through nonlinearities produced by actuator or external uncertainty recourses. The adaptation law guarantees the synchronization assuming of unknown model uncertainty. Furthermore by adding an integrator and incorporating a saturation function in the control law, the chattering phenomenon caused by the sign function is avoided. The simulation results for synchronization of Chua’s circuit and Genesio systems show the efficiency of the proposed technique. 相似文献
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Wenlin Li Xiuqin Chen 《Communications in Nonlinear Science & Numerical Simulation》2009,14(7):3100-3107
This paper investigates the chaos synchronization problem for drive-response Chua’s systems coupled with dead-zone nonlinear input. An estimator of unknown nonlinear term is proposed. Using the sliding mode control technique and the estimate of unknown nonlinear term, a novel variable structure controller which guarantees projective synchronization even when the dead-zone nonlinearity is present. Computer simulations are provided to demonstrate the effectiveness of the proposed synchronization scheme. 相似文献
8.
Cuiying Li Yi Cheng Donal O'Regan 《Mathematical Methods in the Applied Sciences》2023,46(2):1789-1808
This paper establishes the global existence and high-gain stabilization of a nonlinear axially moving beam with control input at the free boundary. A high-gain controller based on the transverse velocity feedbacks of the moving beam at the free end is designed. The existence and uniqueness of the solution depending on the initial values continuously for the resulting closed-loop system are established by invoking the Faedo–Galerkin approximation approach. Then constructing a novel energy-like function, the explicit exponential decay rate of the closed-loop system is obtained via a generalized Gronwall-type integral inequality. 相似文献
9.
一类死区非线性输入系统的自适应模糊控制 总被引:1,自引:0,他引:1
针对一类具有死区非线性输入的非线性系统,基于滑模控制的基本原理,利用II型模糊逻辑系统对未知函数进行在线逼近,提出了一种具有监督器的自适应模糊滑模控制方法。该方法通过监督控制器保证闭环系统所有信号有界,并通过引入最优逼近误差的自适应补偿项来消除建模误差的影响。通过理论分析,证明了跟踪误差收敛到零。 相似文献
10.
This study is concerned with the design of a disturbance-observer-based fuzzy terminal sliding mode controller (FTSMC) for multi-input multi-output (MIMO) uncertain nonlinear systems by considering unknown non-symmetric input saturation and control singularity. The disturbance observer is proposed for the unmeasured external disturbance and guarantees the convergence of the disturbance estimation error to zero in a finite time. The terminal sliding mode controller (TSMC) is designed for MIMO uncertain nonlinear systems by utilizing the output of the proposed disturbance observer. This control scheme combines the disturbance-observer-based TSMC with a fuzzy logic system in the presence of unknown non-symmetric input saturation and control singularity in order to reduce chattering phenomena. Finite time asymptotic stability, convergence of the disturbance observer, and convergence of the closed-loop system are proved via Lyapunov stability theorem. In addition, a five-rotor unmanned aerial vehicle (UAV) is employed in the numerical simulations to demonstrate the effectiveness and performance of the proposed control scheme. Disturbance observer estimates the payload and flight endurance of the five-rotor UAV. Genetic algorithm (GA) optimization is used to specify the parameters of the disturbance-observer-based TSMC (GATSMC) to decrease chattering. Finally, the superior performance of FTSMC is investigated over TSMC and GATSMC. 相似文献
11.
Chang-Ho Hyun Chang-Woo Park Jae-Hun Kim Mignon Park 《Chaos, solitons, and fractals》2009,40(5):2200-2209
This paper proposes an alternative robust adaptive high-gain fuzzy observer design scheme and its application to synchronization and secure communication of chaotic systems. It is assumed that their states are immeasurable and their parameters are unknown. The structure of the proposed observer is represented by Takagi–Sugeno fuzzy model and has the integrator of the estimation error. It improves the performance of high-gain observer and makes the proposed observer robust against noisy measurements, uncertainties and parameter perturbations as well. Using Lyapunov stability theory, an adaptive law is derived to estimate the unknown parameters and the stability of the proposed observer is analyzed. Some simulation result of synchronization and secure communication of chaotic systems is given to present the validity of theoretical derivations and the performance of the proposed observer as an application. 相似文献
12.
《Communications in Nonlinear Science & Numerical Simulation》2010,15(9):2536-2545
In this paper, the problem of synchronizing two chaotic gyros in the presence of uncertainties, external disturbances and dead-zone nonlinearity in the control input is studied while the structure of the gyros, parameters of the dead-zone and the bounds of uncertainties and external disturbances are unknown. The dead-zone nonlinearity in the control input might cause the perturbed chaotic system to show unpredictable behavior. This is due to the high sensitivity of these systems to small changes in their parameters. Thereby, the effect of these issues should not be ignored in the control design for these systems. In order to eliminate the effects from the dead-zone nonlinearity, in this paper, a robust adaptive fuzzy sliding mode control scheme is proposed to overcome the synchronization problem for a class of unknown nonlinear chaotic gyros. The main contribution of our paper in comparison with other works that attempt to solve the problem of dead-zone in the synchronization of chaotic gyros is that we assume that the structure of the system, uncertainties, external disturbances, and dead-zone are fully unknown. Simulation results are provided to illustrate the effectiveness of the proposed method. 相似文献
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This paper is concerned with the stabilization problem for a class of chaotic systems with mismatched perturbations and input nonlinearities. A novel sliding surface is specially designed so that when the system enters the sliding mode, the mismatched perturbations can be effectively overcome and achieve asymptotic stability. Then, an adaptive sliding mode controller (ASMC) is proposed to drive the controlled state trajectories into the designated sliding surface in finite time even subjected to input nonlinearities. Finally, the corresponding numerical simulations are demonstrated to verify the effectiveness of proposed method. 相似文献
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The paper is concerned with the problem of robust stabilization for uncertain large-scale time-varying delayed systems with input nonlinearities. Based on the sliding mode control, a memoryless decentralized adaptive sliding mode controller (DASMC) is developed. The proposed controller ensures the occurrence of the sliding manifold of the composite system even subjected to input nonlinearity. It shows that the uncertain nonlinear large-scale system also possesses the property of insensitivity to uncertainties and disturbances as a linear system does. A numerical example is given to verify the validity of the developed memoryless DASMC. 相似文献
16.
Amar Si-Ammour Said Djennoune Maamar Bettayeb 《Communications in Nonlinear Science & Numerical Simulation》2009,14(5):2310-2318
In this paper, a sliding mode control design for fractional order systems with input and state time-delay is proposed. First, we consider a fractional order system without delay for which a sliding surface is proposed based on fractional integration of the state. Then, a stabilizing switching controller is derived. Second, a fractional system with state delay is considered. Third, a strategy including a fractional state predictor input delay compensation is developed. The existence of the sliding mode and the stability of the proposed control design are discussed. Numerical examples are given to illustrate the theoretical developments. 相似文献
17.
Juntao Li Wenlin LiQiaoping Li 《Communications in Nonlinear Science & Numerical Simulation》2012,17(1):341-348
For the sliding mode controller of uncertain chaotic systems subject to input nonlinearity, the upper bound of the norm of uncertainties is commonly used to determine the controller parameter. However, this will cause serious chattering. In order to overcome this drawback, two new sliding mode controllers are proposed to ensure robust synchronization for a classes of chaotic systems with input nonlinearities and external uncertainty. Compared with the existing results, the proposed controllers can effectively reduce the chattering nearby sliding mode and improve the dynamic performance of the systems. Simulation results are provided to verify the proposed methods. 相似文献
18.
Mohammad Pourmahmood Aghababa Sohrab KhanmohammadiGhassem Alizadeh 《Applied Mathematical Modelling》2011
In this paper, the problem of finite-time chaos synchronization between two different chaotic systems with fully unknown parameters is investigated. First, a new nonsingular terminal sliding surface is introduced and its finite-time convergence to the zero equilibrium is proved. Then, appropriate adaptive laws are derived to tackle the unknown parameters of the systems. Afterwards, based on the adaptive laws and finite-time control idea, an adaptive sliding mode controller is proposed to ensure the occurrence of the sliding motion in a given finite time. It is mathematically proved that the introduced sliding mode technique has finite-time convergence and stability in both reaching and sliding mode phases. Finally, some numerical simulations are presented to demonstrate the applicability and effectiveness of the proposed technique. 相似文献
19.
Anti-synchronization of uncertain unified chaotic systems with dead-zone nonlinearity 总被引:1,自引:0,他引:1
Tsung-Ying Chiang Jui-Sheng Lin Teh-Lu Liao Jun-Juh Yan 《Nonlinear Analysis: Theory, Methods & Applications》2008
This paper addresses chaos anti-synchronization of uncertain unified chaotic systems with dead-zone input nonlinearity. Using the sliding mode control technique and Lyapunov stability theory, a proportional–integral (PI) switching surface is proposed to ensure the stability of the closed-loop error system in sliding mode. Then a sliding mode controller (SMC) is proposed to guarantee the hitting of the switching surface even with uncertainties and the control input containing dead-zone nonlinearity. Some simulation results are included to demonstrate the effectiveness and feasibility of the proposed synchronization scheme. 相似文献
20.
《Nonlinear Analysis: Theory, Methods & Applications》2005,61(5):671-693
This paper is concerned with the boundary stabilization and parameter estimation of an Euler–Bernoulli beam equation with one end fixed, and control and uncertain amplitude of harmonic disturbance at another end. A high-gain adaptive regulator is designed in terms of measured collocated end velocity. The existence and uniqueness of the classical solution as well as smooth solution of the closed-loop system are justified. It is shown that the state of the system approaches the standstill as time goes to infinity and meanwhile the estimated parameter converges to the unknown parameter. 相似文献