Robust stability analysis and fuzzy-scheduling control for nonlinear systems subject to actuator saturation

Cao, Yong‐Yan; Lin, Zongli

doi:10.1109/cdc.2002.1184487

Cited by 46 publications

(87 citation statements)

References 7 publications

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“…Considering now (11), as a different vector α will be needed for different instants, the definition of α will be generalised to being a matrix, using its k-th column to index a particular monomial at instant k: considering a matrix of natural numbers α ∈ N r×(N +1) , notation α k for k = 0, . .…”

Section: Remarkmentioning

confidence: 99%

Shape-independent model predictive control for Takagi–Sugeno fuzzy systems

Ariño

Querol

Sala³

2017

Engineering Applications of Artificial Intelligence

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Predictive control of TS fuzzy systems has been addressed in prior literature with some simplifying assumptions or heuristic approaches. This paper presents a rigorous formulation of the model predictive control of TS systems, so that results are valid for any membership value (shape-independent) with a suitable account of causality (control can depend on current and past memberships and state). As in most fuzzy control results, a family of progressively better controllers can be obtained by increasing Polya-related complexity parameters, generalising over prior proposals.

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Section: Remarkmentioning

confidence: 99%

Shape-independent model predictive control for Takagi–Sugeno fuzzy systems

Ariño

Querol

Sala³

2017

Engineering Applications of Artificial Intelligence

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“…The disturbance observer and the adaptive fuzzy tracking control are designed according to (46), (47), (41) and (48). The fuzzy system parameter is updated by (51).…”

Section: Adaptive Fuzzy Control Design Considering Unknown Input Satumentioning

confidence: 99%

“…Hover control was studied for an unmanned aerial vehicle (UAV) with input saturations in [40]. In [41], robust stability analysis and fuzzy-scheduling control were developed for nonlinear systems with input saturation. Globally stable adaptive control was presented for minimum phase single-input and single-output (SISO) plants with input saturation [42].…”

Section: Introductionmentioning

confidence: 99%

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Adaptive fuzzy tracking control for a class of uncertain MIMO nonlinear systems using disturbance observer

Chen

2012

Sci. China Inf. Sci.

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Citation: CHEN, M., CHEN, W-H. and WU, Q-X., 2014. Adaptive fuzzy tracking control for a class of uncertain MIMO nonlinear systems using disturbance observer. Science China Information Sciences, 57 (1), pp 1-13.Additional Information:• Loughborough, Leicestershire LE11 3TU, UK Abstract: In this paper, adaptive fuzzy tracking control is proposed for a class of multi-input and multi-output (MIMO) nonlinear systems in the presence of system uncertainties, unknown nonsymmetric input saturation and unknown external disturbances. For the MIMO nonlinear system, the time-varying external disturbance cannot be directly measured which is estimated via disturbance observer. By choosing the appropriate gain matrix, disturbance observer can approximate the unknown disturbance well and the estimate error converges to a compact set. And then, fuzzy logic systems (FLS) are used to approximate the system uncertainty of MIMO nonlinear systems.Based on outputs of disturbance observer and FLS, adaptive tracking control is presented for the uncertain MIMO nonlinear system. Considering the unknown non-symmetric input saturation and control singularity case, adaptive fuzzy tracking control is developed via disturbance observer and FLS approximation technique. The effects of unknown input saturation and control singularity are treated as a part of system compound disturbance which is estimated using disturbance observer.Under the proposed tracking control techniques, semi-global uniform boundedness of the closed-loop signals is guaranteed via Lyapunov analysis. Numerical simulation results are presented to illustrate the effectiveness of the proposed tracking control schemes.

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“…[28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43] The Takagi-Sugeno fuzzy modeling approach was utilized to control the nonlinear systems with actuator saturation in the work of Cao and Lin. 37 The stabilization problem was addressed for a class of Hamiltonian systems with state time-delay and input saturation in the work of Sun. 38 Considering input saturation and unknown external disturbance, an adaptive control for single input uncertain nonlinear systems was investigated in the work of Wen et al, 39 where an auxiliary design system was proposed to dispose the effect of input constraints.…”

Section: Introductionmentioning

confidence: 99%

Robust adaptive constrained boundary control for a suspension cable system of a helicopter

Ren

Shi

2017

Adaptive Control & Signal

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SummaryIn this article, the problems of modeling and controlling are investigated for a suspension cable system of a helicopter with input saturation, system parameter uncertainties, and external disturbances by using the boundary control method.In accordance with the Hamilton's principle, the model of the suspension cable system of a helicopter is established by using a set of partial differential and ordinary differential equations. Considering nonsymmetric saturation constraint, the auxiliary systems are designed to handle with the effect of input saturation. Considering Lyapunov's direct method and the designed auxiliary systems, two robust adaptive boundary controllers are provided by the actuators at the helicopter and the box. Under the proposed controllers, the error between the bottom payload and the target location and the vibration range are uniformly ultimately bounded. Moreover, they will converge to a small neighborhood of zero by selecting the suitable parameters. Meanwhile, to guarantee the validity of the proposed adaptive boundary control laws, some sufficient conditions are raised. Simulation results are provided to verify that the effectiveness of the designed controllers in this paper.

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Robust stability analysis and fuzzy-scheduling control for nonlinear systems subject to actuator saturation

Cited by 46 publications

References 7 publications

Shape-independent model predictive control for Takagi–Sugeno fuzzy systems

Shape-independent model predictive control for Takagi–Sugeno fuzzy systems

Adaptive fuzzy tracking control for a class of uncertain MIMO nonlinear systems using disturbance observer

Robust adaptive constrained boundary control for a suspension cable system of a helicopter

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