Adaptive Sliding Mode Observer for Nonlinear Interconnected Systems with Time Varying Parameters

Mohamed, Mokhtar; Yan, Xiangwu; Mao, Zehui

doi:10.1002/asjc.1960

Cited by 9 publications

(9 citation statements)

References 33 publications

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“…Future topics in this direction, can be directed to systems with unknown parameters [29–31], systems with communication constraints [32]‐[33], or nonlinear constrained systems using sliding‐mode control method [34].…”

Section: Discussionmentioning

confidence: 99%

State‐feedback stabilization and inverse optimal control for stochastic high‐order nonlinear systems with time‐varying powers

Liu

Yao

2019

Asian Journal of Control

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This paper considers the stability and optimality problems associated with stochastic high‐order nonlinear systems with time‐varying powers. This research extends previous studies on the plant with constant powers. In this paper, we firstly construct a state‐feedback controller to ensure that the equilibrium at the origin of the closed‐loop system is globally asymptotically stable (GAS) in probability. Then we redesign a new optimal controller with infinite gain margin to solve the inverse optimal stabilization (IOS) problem. Specifically, the optimal controller is not only optimal with respect to a meaningful cost functional but also globally asymptotically stabilizes the closed‐loop system. The efficiency of the designed controllers is demonstrated by a simulation example.

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Section: Discussionmentioning

confidence: 99%

State‐feedback stabilization and inverse optimal control for stochastic high‐order nonlinear systems with time‐varying powers

Liu

Yao

2019

Asian Journal of Control

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“…From (18), it can be seen thaṫ̃i(t) =̇̂i(t) because 0 i is constant. Substituting (14) and (15) into (24) giveṡ…”

Section: Adaptive Observer Design With Parameters Estimationmentioning

confidence: 99%

Adaptive observer design for nonlinear interconnected systems by the application of LaSalle's theorem

Mohamed

Yan

Mao

2020

Adaptive Control & Signal

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In this article, a class of nonlinear interconnected systems with uncertain time varying parameters (TVPs) is considered. Both the interconnections and the isolated subsystems are nonlinear. The differences between the unknown TVPs and their corresponding nominal values are assumed to be bounded where the nominal value is not required to be known. A dynamical system is proposed and then, the error systems between the original interconnected system and the designed dynamical system are analysed. A set of conditions is developed such that the augmented systems formed by the error dynamical systems and the designed adaptive laws are uniformly ultimately bounded. Specifically, the state observation errors are asymptotically convergent to zero based on the LaSalle's Theorem while the parameter estimation errors are uniformly ultimately bounded, and the classical condition of persistent excitation is not required. A case study on a coupled inverted pendulum system is presented to demonstrate the developed methodology, and simulation shows that the proposed approach is effective and practicable.

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“…Although adaptive fuzzy or backstepping control has become one of the most important design approaches for nonlinear systems without satisfying matching conditions, it has achieved many important results [14]. However, the existing adaptive fuzzy or backstepping controller focuses on nonlinear uncertain systems, which cannot be applied to nonlinear uncertain systems with unmatched disturbances [15]. The hyperbolic PDE system is described by the T-S fuzzy model with parameter uncertainties in [16].…”

Section: ------------------------------------------------------------mentioning

confidence: 99%

Dynamic output feedback control with output quantizer for nonlinear uncertain T‐S fuzzy systems with multiple time‐varying input delays and unmatched disturbances

Zhengwei

WangHongbin

WangHongrui

et al. 2019

Asian Journal of Control

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The dynamic output feedback control problem with output quantizer is investigated for a class of nonlinear uncertain Takagi‐Sugeno (T‐S) fuzzy systems with multiple time‐varying input delays and unmatched disturbances. The T‐S fuzzy model is employed to approximate the nonlinear uncertain system, and the output space is partitioned into operating regions and interpolation regions based on the structural information in the fuzzy rules. The output quantizer is introduced for the controller design, and the dynamic output feedback controller with output quantizer is constructed based on the T‐S fuzzy model. Stability conditions in the form of linear matrix inequalities are derived by introducing the S‐procedure, such that the closed‐loop system is stable and the solutions converge to a ball. The control design conditions are relaxed and design flexibility is enhanced because of the developed controller. By introducing the output‐space partition method and S‐procedure, the unmatched regions between the system plant and the controller caused by the quantization errors can be solved in the control design. Finally, simulations are given to verify the effectiveness of the proposed method.

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Adaptive Sliding Mode Observer for Nonlinear Interconnected Systems with Time Varying Parameters

Cited by 9 publications

References 33 publications

State‐feedback stabilization and inverse optimal control for stochastic high‐order nonlinear systems with time‐varying powers

State‐feedback stabilization and inverse optimal control for stochastic high‐order nonlinear systems with time‐varying powers

Adaptive observer design for nonlinear interconnected systems by the application of LaSalle's theorem

Dynamic output feedback control with output quantizer for nonlinear uncertain T‐S fuzzy systems with multiple time‐varying input delays and unmatched disturbances

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