Fuzzy approximate disturbance decoupling of MIMO nonlinear systems by backstepping approach

Chen, Bing; Tong, Shaocheng; Li, Xiaoping

doi:10.1016/j.fss.2006.12.012

Cited by 100 publications

(58 citation statements)

References 19 publications

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“…Few results can be found for MIMO systems due to the difficulties in coping with the uncertainties and interactions in the input and output coupling matrices between subsystems in the MIMO systems. More recently, based on the backstepping technique, the idea of MLP algorithms was extended to adaptive fuzzy control schemes for both single-input/singleoutput (SISO) time-delay systems with unknown virtual control coefficients in [20], and MIMO uncertain systems in [2,3,10].…”

Section: Introductionmentioning

confidence: 99%

“…However, the proposed schemes suffer from both problems of "explosion of learning parameters" and "explosion of complexity", which prevent their application in engineering practice. Recently, motivated by the idea of MLP algorithms, Chen et al proposed an adaptive fuzzy approximate disturbance decoupling control scheme for MIMO systems in [2], where the unknown virtual control gains are constants, and the square-integrable condition, which is very restrictive in real applications, for the external disturbances was required. Then an adaptive fuzzy output tracking control was developed in [3] for a class of MIMO systems discussed in [6].…”

Section: Introductionmentioning

confidence: 99%

“…But this result is only for stabilization control, not applicable for tracking control. The common properties of the methods in [2,3,10] are that the fuzzy logic systems are used to approximate the unknown nonlinear functions and then the controllers are designed based on the backstepping techniques. So, they also suffer from the problem of "explosion of complexity" inevitably.…”

Section: Introductionmentioning

confidence: 99%

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Adaptive fuzzy control of uncertain MIMO non-linear systems in block-triangular forms

Wang

Chen

2010

Nonlinear Dyn

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Adaptive control of a class of uncertain multi-input/multi-output (MIMO) non-linear systems in block-triangular forms is considered in this paper. By incorporating dynamic surface approach and "minimal learning parameters" algorithm, a systematic procedure for the synthesis of stable adaptive fuzzy tracking controllers with less tuning parameters is developed. Takagi-Sugeno (T-S) fuzzy logic systems (FLSs) are used to approximate those unstructured system functions rather than the unknown virtual control gain functions. Consequently, the potential controller singularity problem can be overcome. Moreover, both problems of "explosion of learning parameters" and "explosion of complexity" are avoided. The computational burden has thus been greatly reduced. T. Li ( ) Navigation College,The stability in the sense of semi-globally uniform ultimate boundedness (SGUUB) of the closed-loop MIMO systems is established via Lyapunov stability theorem. Finally, simulation results are presented to demonstrate the effectiveness and the advantages of the proposed control approach.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Adaptive fuzzy control of uncertain MIMO non-linear systems in block-triangular forms

Wang

Chen

2010

Nonlinear Dyn

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“…The last two decades or so have witnessed the amount of results on adaptive fuzzy and neural network control for SISO linear systems or nonlinear systems by means of indirect [1][2][3][4][5][6][7][8][9] or direct [5,6,[10][11][12][13][14][15][16][17] adaptive configurations. The pioneering indirect and direct adaptive fuzzy control (IAFC, DAFC) methodologies for three classes of cascaded MIMO uncertain nonlinear systems are developed using stepping technique in [9] and [16,17], respectively.…”

Section: Introductionmentioning

confidence: 99%

“…The pioneering indirect and direct adaptive fuzzy control (IAFC, DAFC) methodologies for three classes of cascaded MIMO uncertain nonlinear systems are developed using stepping technique in [9] and [16,17], respectively. Besides, a small minority of researchers propose adaptive control methods for several classes of nonaffine systems [13][14][15].…”

Section: Introductionmentioning

confidence: 99%

Decentralized direct adaptive output feedback fuzzy H ∞ tracking design of large-scale nonaffine nonlinear systems

2009

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A novel H ∞ tracking-based decentralized direct adaptive output feedback fuzzy controller is developed for a class of interconnected nonaffine uncertain nonlinear systems in this paper. By virtue of the proper filtering of the observation error dynamics to assure its strictly positive realness, the observer-based decentralized direct adaptive fuzzy control (DAFC) scheme is presented for a class of large-scale nonaffine nonlinear systems by the combination of H ∞ tracking technique, implicit function theorem, a state observer and a fuzzy inference system. The output feedback and adaptation mechanisms for each subsystem depend upon local measurements not only to achieve asymptotical tracking of a reference trajectory but to guarantee arbitrary small attenuation level of the mismatched errors and external disturbances on the tracking error. Simulation results confirm the effectiveness of the proposed decentralized output feedback scheme.

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Adaptive fuzzy output‐feedback tracking control for switched stochastic pure‐feedback nonlinear systems

Chang

Wang

Alsaadi

et al. 2019

Adaptive Control & Signal

123

101

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This paper considers the problem of adaptive fuzzy output-feedback tracking control for a class of switched stochastic nonlinear systems in pure-feedback form. Unknown nonlinear functions and unmeasurable states are taken into account. Fuzzy logic systems are used to approximate the unknown nonlinear functions, and a fuzzy observer is designed to estimate the immeasurable states.Based on these methods, an adaptive fuzzy output-feedback control scheme is developed by combining the backstepping recursive design technique and the common Lyapunov function approach. It is shown that all the signals in the closed-loop system are semiglobally uniformly ultimately bounded in mean square in the sense of probability, and the observer errors and tracking errors can be regulated to a small neighborhood of the origin by choosing appropriate parameters. Finally, a simulation result is provided to show the effectiveness of the proposed control method. KEYWORDS adaptive fuzzy control, backstepping, pure-feedback form, state observer, switched stochastic systems Int J Adapt Control Signal Process. 2019;33:1567-1582.wileyonlinelibrary.com/journal/acs

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Fuzzy approximate disturbance decoupling of MIMO nonlinear systems by backstepping approach

Cited by 100 publications

References 19 publications

Adaptive fuzzy control of uncertain MIMO non-linear systems in block-triangular forms

Adaptive fuzzy control of uncertain MIMO non-linear systems in block-triangular forms

Decentralized direct adaptive output feedback fuzzy H ∞ tracking design of large-scale nonaffine nonlinear systems

Adaptive fuzzy output‐feedback tracking control for switched stochastic pure‐feedback nonlinear systems

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