Multirate Functional Observer Based Discrete-Time Sliding Mode Control

Janardhanan, S.; Satyanarayana, N.

doi:10.1007/978-3-642-36986-5_13

Cited by 3 publications

(3 citation statements)

References 32 publications

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“…The technique proposed in [20] computes the state of the system and then proceeds to implement the equivalent control. The MROS-based controller design has been applied for a wide variety of systems [22][23][24][25][26]28].…”

Section: Multirate Output Sampling (Mros) Techniquementioning

confidence: 99%

“…Thus, the state feedback control u ( k ) = Fx ( k ) can be realized :

u (k) = F Φ_{τ} {(C_{0}^{T} C_{0})}^{- 1} C_{0}^{T} y_{k} + F (Γ_{τ} - Φ_{τ} {(C_{0}^{T} C_{0})}^{- 1} C_{0}^{T} D_{0} u (k - 1) .

The technique proposed in computes the state of the system and then proceeds to implement the equivalent control. The MROS‐based controller design has been applied for a wide variety of systems .…”

Section: Multirate Output Sampling (Mros) Techniquementioning

confidence: 99%

See 1 more Smart Citation

Open‐Loop Functional Observer and State Feedback for Linear Systems Using Multirate Output Sampling

Satyanarayana¹,

Janardhanan²

2014

Asian Journal of Control

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In this paper, the problem of estimating a linear functional of the state vector is considered in order to implement a feedback control law for discrete-time linear multivariable systems. The proposed method is based on multirate sampling of the plant output. We give necessary and sufficient conditions for the existence of the functional observer, and propose a functional observer with the minimal number of output samples. In this work, the control law is implemented using the output samples, thus this methodology is more practical than state based techniques. A numerical example is considered to illustrate the procedure and highlight the advantages of the proposed method.

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Section: Multirate Output Sampling (Mros) Techniquementioning

confidence: 99%

“…Thus, the state feedback control u ( k ) = Fx ( k ) can be realized :

u (k) = F Φ_{τ} {(C_{0}^{T} C_{0})}^{- 1} C_{0}^{T} y_{k} + F (Γ_{τ} - Φ_{τ} {(C_{0}^{T} C_{0})}^{- 1} C_{0}^{T} D_{0} u (k - 1) .

Section: Multirate Output Sampling (Mros) Techniquementioning

confidence: 99%

Open‐Loop Functional Observer and State Feedback for Linear Systems Using Multirate Output Sampling

Satyanarayana¹,

Janardhanan²

2014

Asian Journal of Control

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“…Indeed, the MSMDC we propose can be added to [31] as a further layer, thus improving the disturbance rejection even further. Note that the interest in multirate control schemes has increased in recent years [32], in particular, in the SM community [33].…”

Section: Introductionmentioning

confidence: 99%

Multirate sliding mode disturbance compensation for model predictive control

Raimondo

Rubagotti

Jones

et al. 2014

Intl J Robust & Nonlinear

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SUMMARYIn this paper, a novel hierarchical multirate control scheme for nonlinear discrete-time systems is presented, consisting of a robust Nonlinear Model Predictive Controller (NMPC) and a Multirate Sliding Mode Disturbance Compensator (MSMDC). The proposed MSMDC acts at a faster rate than the NMPC in order to keep the system as close as possible to the nominal trajectory predicted by NMPC despite model uncertainties and external disturbances. The a-priori disturbance compensation turns out to be very useful in order to improve the robustness of the NMPC controller. A dynamic input allocation between MSMDC and NMPC allows to maximize the benefits of the proposed scheme that unites the advantages of sliding mode control (strong reduction of matched disturbances, low computational burden) to those of NMPC (optimality, constraints handling). Sufficient conditions required to guarantee Input-to-State Stability (ISS) and constraints satisfaction by the overall scheme are also provided.

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State and Disturbance Estimation Using Fast Output Sampling Approach for Robust Motion Control Systems

Sawai

Kurode

2020

Studies in Systems, Decision and Control

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Multirate Functional Observer Based Discrete-Time Sliding Mode Control

Cited by 3 publications

References 32 publications

Open‐Loop Functional Observer and State Feedback for Linear Systems Using Multirate Output Sampling

Open‐Loop Functional Observer and State Feedback for Linear Systems Using Multirate Output Sampling

Multirate sliding mode disturbance compensation for model predictive control

State and Disturbance Estimation Using Fast Output Sampling Approach for Robust Motion Control Systems

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