Lebesgue-Approximation Model Predictive Control of Nonlinear Sampled-Data Systems

Tao, Jie; Yang, Lixing; Wu, Zheng‐Guang; Su, Hongye

doi:10.1109/tac.2019.2953147

Cited by 20 publications

(13 citation statements)

References 30 publications

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“…Remark 8: Event generator a i is used to save the network transmission resources. However, compared with the works [33], [34], event generator b i is used to prevent the control packet − → U i (t i mi ) ′ s size from getting too large.…”

Section: ûI ( Timentioning

confidence: 99%

“…For (34), it can be easily deduced by taking into account that µ i (t i 0 ) = μi (t i 0 ) and the event-triggering conditions in (3-4) for event generator a i and (11-14), (17)(18)(19)(20)(21) for event generatorb i are the same.…”

Section: Establishing the Geschlossenes System Modelmentioning

confidence: 99%

“…As we know, predictive control is an useful way to reduce or eliminate the negative effects caused by the transmission delays or data losses [12], [34], [37]- [39]. However, for the case of NMASs with transmission delays, even based on the classical time-triggered control, the consensus protocol design and the system analysis by using the predictive control is challenging due to the complexity and coupling relationship among agents, and by now only few results can be available on this topic [36], [37].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Cloud-Based Event-Triggered Predictive Control for Heterogeneous NMASs Under Both DoS Attacks and Transmission Delays

Yin

Yue²,

Hu³

2022

IEEE Trans. Syst. Man Cybern, Syst.

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Section: ûI ( Timentioning

confidence: 99%

Section: Establishing the Geschlossenes System Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Cloud-Based Event-Triggered Predictive Control for Heterogeneous NMASs Under Both DoS Attacks and Transmission Delays

Yin

Yue²,

Hu³

2022

IEEE Trans. Syst. Man Cybern, Syst.

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“…It is worth pointing out, however, that all the previously mentioned work on aperiodic sampled‐data MPC only focuses on when to solve the FHOCP, while leaving the FHOCP itself still continuous‐time. Recently, a Lebesgue approximation based MPC approach was proposed in References 30 and 31 for nonlinear systems, where the sampling time and the state transitions in the approximation model are both aperiodic and state‐dependent. It can enlarge the inter‐sampling time intervals, while reducing the number of steps in the discrete‐time FHOCP to prediction the same length of horizon in continuous‐time domain.…”

Section: Introductionmentioning

confidence: 99%

Self‐triggered predictive control of nonlinear systems using approximation model

Yang

Dauchert

Wang

2022

Intl J Robust & Nonlinear

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This article studies discrete-time model predictive control of continuous-time nonlinear systems with measurement noises and exogenous disturbances.We consider the co-design of discrete-time finite horizon optimal control problem (FHOCP) and the associated self-triggering schemes that schedule the time instants for sampling the state and computing the FHOCP. The state-dependent nature of the self-triggered scheduling can not only dynamically adjust the inter-sampling period according to the system status, but dynamically discretize the model used in the FHOCP as well, in order to reduce the complexity of the FHOCP if designed appropriately. It is shown that the system can be stabilized with uniform ultimate boundedness, as long as the scheduling scheme matches the approximation model such that the one-step approximation error between the predicted state and the actual state is below a threshold related to the cost function. These results can be applied to most existing model approximation methods with either fixed or time-varying sampling rates.

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“…In [18], two approaches are proposed to solve the chance-constrained predictive control based on max-affine form, then probabilistic and chance constraints can be transformed into linear constraints by Chebyshev's inequality, which yields a faster convergence and a lower closed-loop cost. Moreover, there are other results which have made a number of significant contributions to this field (see [19][20][21][22][23] and the references therein).…”

Section: Introductionmentioning

confidence: 99%

Output feedback predictive control for discrete quasilinear systems with application to spacecraft flying‐around

Zhang

Liu

2021

Asian Journal of Control

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This paper considers a spacecraft flying-around problem modeled by discrete quasilinear system under sight coordinate, which can be regarded as an output tracking for discrete quasilinear system. An output feedback predictive control scheme is presented to deal with the flying-around task. This scheme contains the design of output feedback and the optimization of tracking performance.On the one hand, the completely parametric form of output feedback based on generalized Sylvester equation is developed to stabilize the closed-loop nominal system. On the other hand, a cost function, aimed to measure tracking performance, is optimized by the design of predictive control such that tracking performance is ensured. Further analysis proposes a necessary and sufficient condition based on Lyapunov method to maintain both bounded stability and tracking performance of the closed-loop system caused by output feedback predictive control. Compared with the existing method, a numerical simulation is given to richly demonstrate the effectiveness and feasibility of the proposed control scheme.

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Lebesgue-Approximation Model Predictive Control of Nonlinear Sampled-Data Systems

Cited by 20 publications

References 30 publications

Cloud-Based Event-Triggered Predictive Control for Heterogeneous NMASs Under Both DoS Attacks and Transmission Delays

Cloud-Based Event-Triggered Predictive Control for Heterogeneous NMASs Under Both DoS Attacks and Transmission Delays

Self‐triggered predictive control of nonlinear systems using approximation model

Output feedback predictive control for discrete quasilinear systems with application to spacecraft flying‐around

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