Distributed model predictive control for polytopic uncertain systems subject to actuator saturation

Zhang, Langwen; Wang, Jingcheng; Li, Chuang

doi:10.1016/j.jprocont.2013.06.003

Cited by 55 publications

(31 citation statements)

References 25 publications

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“…which can be rewritten by By applying S-procedure described in Lemma 1 to (31), (36) and (38), we find a conditioñ…”

Section: Appendixmentioning

confidence: 99%

“…As the basis of this study, some pioneering work can be briefly reviewed. The problems of controller design for system with actuator saturation [24,34,36] and sensor saturation [30,22,23] have been well addressed. Moreover, the controller design problems for systems with both actuator and sensor saturations have been developed in [14,27,15,31,45].…”

Section: Introductionmentioning

confidence: 99%

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Stochastic finite-time boundedness on switching dynamics Markovian jump linear systems with saturated and stochastic nonlinearities

Wen

Nguang

2016

Information Sciences

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“…which can be rewritten by By applying S-procedure described in Lemma 1 to (31), (36) and (38), we find a conditioñ…”

Section: Appendixmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Stochastic finite-time boundedness on switching dynamics Markovian jump linear systems with saturated and stochastic nonlinearities

Wen

Nguang

2016

Information Sciences

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“…Lemma 2 (Zhang, Wang, & Li, 2013): let A (λ) , B (λ) be polytopic uncertain with appropriate dimensions, and F be a constant vector, then S (λ) = A (λ) + B (λ) F is polytopic uncertain.…”

Section: Problem Formulationmentioning

confidence: 99%

MixedH₂/H_∞distributed robust model predictive control for polytopic uncertain systems subject to actuator saturation and missing measurements

Song

Fang

Diao

2014

International Journal of Systems Science

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In this paper, we discuss the mixed H 2 /H ∞ distributed robust model predictive control problem for polytopic uncertain systems subject to randomly occurring actuator saturation and packet loss. The global system is decomposed into several subsystems, and all the subsystems are connected by a fixed topology network, which is the definition for the packet loss among the subsystems. To better use the successfully transmitted information via Internet, both the phenomena of actuator saturation and packet loss resulting from the limitation of the communication bandwidth are taken into consideration. A novel distributed controller model is established to account for the actuator saturation and packet loss in a unified representation by using two sets of Bernoulli distributed white sequences with known conditional probabilities. With the nonlinear feedback control law represented by the convex hull of a group of linear feedback laws, the distributed controllers for subsystems are obtained by solving an linear matrix inequality (LMI) optimisation problem. Finally, numerical studies demonstrate the effectiveness of the proposed techniques.

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“…In this paper, the global system is decomposed into M subsystems following the papers [15,18,19]. We select this decomposition method since it can be used to handle the model uncertainties by using Lyapunov Function approach.…”

Section: Problem Formulationsmentioning

confidence: 99%

Constrained distributed model predictive control for linear systems with delayed input

Zhang¹,

Wang²,

Liu³

et al. 2014

Proceeding of the 11th World Congress on Intelligent Control and Automation

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In this paper, an approach to design constrained distributed model predictive control (MPC) is proposed for the polytopic uncertain systems with input delays. The large-scale linear system we consider is decomposed into several subsystems with distributed control inputs. This allows us to design distributed MPC controller independently for each subsystem. An augmented polytopic uncertainty description is invoked to handle the input delays. At each time interval, each subcontroller solves a linear matrix inequality (LMI) optimization problem to obtain local control input. An iterative online algorithm for constrained distributed MPC is introduced to coordinate the distributed MPC controllers. A numerical example is simulated to demonstrate the effectiveness of the proposed algorithm. Index Terms -Constrained distributed model predictive control, delayed input, polytopic uncertain, LMI

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Distributed model predictive control for polytopic uncertain systems subject to actuator saturation

Cited by 55 publications

References 25 publications

Stochastic finite-time boundedness on switching dynamics Markovian jump linear systems with saturated and stochastic nonlinearities

Stochastic finite-time boundedness on switching dynamics Markovian jump linear systems with saturated and stochastic nonlinearities

MixedH₂/H_∞distributed robust model predictive control for polytopic uncertain systems subject to actuator saturation and missing measurements

Constrained distributed model predictive control for linear systems with delayed input

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Distributed model predictive control for polytopic uncertain systems subject to actuator saturation

Cited by 55 publications

References 25 publications

Stochastic finite-time boundedness on switching dynamics Markovian jump linear systems with saturated and stochastic nonlinearities

Stochastic finite-time boundedness on switching dynamics Markovian jump linear systems with saturated and stochastic nonlinearities

MixedH2/H∞distributed robust model predictive control for polytopic uncertain systems subject to actuator saturation and missing measurements

Constrained distributed model predictive control for linear systems with delayed input

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MixedH₂/H_∞distributed robust model predictive control for polytopic uncertain systems subject to actuator saturation and missing measurements