Global stabilization of high-order nonlinear systems under multi-rate sampled-data control

Jia, Jinping; Chen, Weisheng; Hao, Dingjun; Li, Jing

doi:10.1007/s11071-018-4501-x

Cited by 18 publications

(15 citation statements)

References 61 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Proof First, let us assume that DDP is solvable for the system (18). Thus, consider the closed-loop system (18) under (26) and introduce the coordinate transformation…”

Section: Ddp-s For Nonlinear Systemsmentioning

confidence: 99%

“…which is locally asymptotically stable by Lemma 1,. Consider now the original system (1) under the feedback (26). Setting now the transformation (22) to (1)…”

Section: Ddp-s For Nonlinear Systemsmentioning

confidence: 99%

“…As in the standard case, Theorem 2 can be interpreted in a differentialgeometry fashion by stating that DDP-S is solvable for all the actions of disturbances verifying the following relation (8) and the feedback (26) being the so-called friend of ∆ s .…”

Section: Remark 10mentioning

confidence: 99%

“…Once stability of the unobservable dynamics is guaranteed by the decoupling feedback (26), the residual component of the control action can be designed so to guarantee further control specifications with boundedness (or local input-to-state stability) of the residual dynamics (25b). In addition, fixing in (26)…”

Section: Remark 10mentioning

confidence: 99%

“…The proposed methodology is then applied to the sampled-data context that is when measures of the output (say the state) are available only at some time instants and the control is piecewise constant over the sampling period [25,26]. In this context, the problem under study is even more crucial because of the further unstable zero-dynamics intrinsically arising due to sampling [27].…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

On partially minimum-phase systems and disturbance decoupling with stability

et al. 2019

View full text Add to dashboard Cite

In this paper, we consider the problem of disturbance decoupling for a class of non-minimum phase nonlinear systems. Based on the notion of partially-minimum phaseness, we shall characterize all actions of disturbances which can be decoupled via a static state feedback while preserving stability of the internal residual dynamics. The proposed methodology is then extended to the sampled-data framework via multi-rate design to cope with the rising of the so-called sampling-zero dynamics intrinsically induced by classical single-rate sampling.

show abstract

“…Proof First, let us assume that DDP is solvable for the system (18). Thus, consider the closed-loop system (18) under (26) and introduce the coordinate transformation…”

Section: Ddp-s For Nonlinear Systemsmentioning

confidence: 99%

“…which is locally asymptotically stable by Lemma 1,. Consider now the original system (1) under the feedback (26). Setting now the transformation (22) to (1)…”

Section: Ddp-s For Nonlinear Systemsmentioning

confidence: 99%

Section: Remark 10mentioning

confidence: 99%

Section: Remark 10mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

On partially minimum-phase systems and disturbance decoupling with stability

et al. 2019

View full text Add to dashboard Cite

show abstract

Finite-Time Stabilization of Multi-rate Networked Control System Based on Predictive Control

Zhao

Chen

et al. 2021

Circuits Syst Signal Process

View full text Add to dashboard Cite

Simplified global fault accommodation control design of uncertain nonlinear systems with unknown time-varying powers

Yoo

2019

Nonlinear Dyn

View full text Add to dashboard Cite

This paper addresses the problem of global robust fault accommodation tracking for a class of uncertain nonlinear systems with unknown powers and actuator faults. It is assumed that the powers of the concerned system are unknown time-varying functions, all system nonlinearities are unknown, and unknown actuator faults depend on the time-varying power of a control input. A fault accommodation state-feedback controller is explicitly constructed based on the nonlinear error transformation technique using time-varying performance functions. Global tracking with the preselected performance bounds is established in the presence of unknown time-varying powers and unexpected actuator faults. Different from the previous results dealing with the problem of unknown time-varying powers, the proposed tracking strategy does not require the knowledge of the bounds of the time-varying powers and the nonlinear bounding functions of system nonlinearities. An underactuated mechanical system is simulated to validate the effectiveness of the proposed theoretical approach.

show abstract

Global stabilization of high-order nonlinear systems under multi-rate sampled-data control

Cited by 18 publications

References 61 publications

On partially minimum-phase systems and disturbance decoupling with stability

On partially minimum-phase systems and disturbance decoupling with stability

Finite-Time Stabilization of Multi-rate Networked Control System Based on Predictive Control

Simplified global fault accommodation control design of uncertain nonlinear systems with unknown time-varying powers

Contact Info

Product

Resources

About