Optimal preview control for linear time-variant discrete systems

Liao, Fang; Cui, Ya-Hong; Shen, Zhengwei

doi:10.1109/icmlc.2009.5212208

Cited by 9 publications

(17 citation statements)

References 4 publications

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“…The main results of this paper can be gained immediately by the approach similar to [20]. (2) (̃,̃) is detectable.…”

Section: Mathematical Problems In Engineeringmentioning

confidence: 88%

“…If Assumptions 1, 2, 3, and 4 and > 0 hold, the conditions of Theorem 9 are all satisfied. Then, the optimal controller for system (17) is (20). In order to prove this theorem, we only need to get (35) by (20).…”

Section: Lemma 12 (̃̃) Is Detectable If and Only If ( ) Is Detementioning

confidence: 99%

“…First, the error system is constructed. Then, the controller is designed according to the results of the optimal preview control theory [20].…”

Section: Main Theorems and The Proofsmentioning

confidence: 99%

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Design of an Optimal Preview Controller for a Class of Linear Discrete‐Time Descriptor Systems

Liao

Xue

2017

Mathematical Problems in Engineering

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The preview control problem of a class of linear discrete-time descriptor systems is studied. Firstly, the descriptor system is decomposed into a normal system and an algebraic equation by the method of the constrained equivalent transformation. Secondly, by applying the first-order forward difference operator to the state equation, combined with the error equation, the error system is obtained. The tracking problem is transformed into the optimal preview control problem of the error system. Finally, the optimal controller of the error system is obtained by using the related results and the optimal preview controller of the original system is gained. In this paper, we propose a numerical simulation method for descriptor systems. The method does not depend on the restricted equivalent transformation.

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“…The main results of this paper can be gained immediately by the approach similar to [20]. (2) (̃,̃) is detectable.…”

Section: Mathematical Problems In Engineeringmentioning

confidence: 88%

Section: Lemma 12 (̃̃) Is Detectable If and Only If ( ) Is Detementioning

confidence: 99%

See 1 more Smart Citation

Design of an Optimal Preview Controller for a Class of Linear Discrete‐Time Descriptor Systems

Liao

Xue

2017

Mathematical Problems in Engineering

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“…The recent trend in this field has shown a change in the form of systems on which preview control can be applied, an amendment in the standard preview controller formulation, and a modification in the mode preview signal is available for action. Thus, this new dimension has enriched the literature with preview control for affine parameter‐dependent system and linear variant coefficient discrete‐time system, preview sliding mode control, RCO‐adaptive and preview control, LQ‐SOF‐based preview control, multiple preview compensation, and others . The current decade literature has presented new structure, systems, and generalizations in the design of preview control.…”

Section: Classification Of Literaturementioning

confidence: 99%

“…Discrete domain is used to control affine parameter‐dependent autonomous underwater vehicle (AUV) model with preview control by Silvestre et al . Liao et al have discussed optimal preview control design of linear variant coefficient discrete‐time systems. The preview control design is presented by Gershon et al for linear continuous‐time invariant retarded systems with stochastic parameter uncertainties.…”

Section: Classification Of Literaturementioning

confidence: 99%

Optimal preview control: A review

Birla

Swarup

2014

Optim Control Appl Methods

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SummaryThe field of preview control has attracted many researchers for its applications in guidance of autonomous vehicles, robotics, and process control, as this field is well suited for use in design of systems that have reference signals known a priori. The paper presents the efforts of various researchers in the field of preview control. The literature available in this field, since 1966, is categorized based on formulation, method domain, solution approach, and objective. The preview control problem is formulated and solved using classical time‐domain optimal control design tools for under water vehicle model. The key observation obtained from the discussions shows the enormous scope of work available in the field of preview control. Copyright © 2014 John Wiley & Sons, Ltd.

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Design of an optimal preview controller for linear discrete-time causal descriptor systems

Liao

Cao

et al. 2012

International Journal of Control

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Optimal preview control for linear time-variant discrete systems

Cited by 9 publications

References 4 publications

Design of an Optimal Preview Controller for a Class of Linear Discrete‐Time Descriptor Systems

Design of an Optimal Preview Controller for a Class of Linear Discrete‐Time Descriptor Systems

Optimal preview control: A review

Design of an optimal preview controller for linear discrete-time causal descriptor systems

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