On finite time optimal control for discrete-time linear systems with parameter variation

Fujimoto, Kenji; Inoue, Takamichi; Maruyama, Shun

doi:10.1109/cdc.2015.7403247

Cited by 4 publications

(4 citation statements)

References 11 publications

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“…The conclusion of [13] cannot be directly applied to system (15). Therefore, it is necessary to combine relative ideas on partial stability with the proof methods in [13] to obtain the results of this paper.…”

Section: Design Of the Controllermentioning

confidence: 99%

“…So far, the original problem has been converted into a FTB problem of partial variable ( ) of system (15). The conclusion of [13] cannot be directly applied to system (15).…”

Section: Design Of the Controllermentioning

confidence: 99%

“…System (15) is now fully in the form of system (3), which will facilitate the controller design. Since system (15) contains disturbances Δ ( +1) and Δ ( ), the corresponding assumptions can be relaxed to A1 and A2. For ( ), it is easy to prove that A1 is much weaker than that of…”

Section: Design Of the Controllermentioning

confidence: 99%

“…The FTS of discrete-time stochastic systems with time-varying delays and its application to multiagent systems were considered in [14]. In [15], a finite-time optimal control method for a class of linear discrete-time systems with parameter variation was presented. By constructing the Lyapunov-Krasovskii functional, the FTS of discrete time-delay systems with nonlinear perturbations was studied in [16].…”

Section: Introductionmentioning

confidence: 99%

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Finite-Time Bounded Tracking Control for Linear Discrete-Time Systems

Liao

Deng

2018

Mathematical Problems in Engineering

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A finite-time bounded tracking control problem for a class of linear discrete-time systems subject to disturbances is investigated. Firstly, by applying a difference method to constructing the error system, the problem is transformed into a finite-time boundedness problem of the output vector of the error system. In fact, this is a finite-time boundedness problem with respect to the partial variables. Secondly, based on the partial stability theory and the research methods of finite-time boundedness problem, a state feedback controller formulated in form of linear matrix inequality is proposed. Based on this, a finite-time bounded tracking controller of the original system is obtained. Finally, a numerical example is presented to illustrate the effectiveness of the controller.

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Section: Design Of the Controllermentioning

confidence: 99%

“…So far, the original problem has been converted into a FTB problem of partial variable ( ) of system (15). The conclusion of [13] cannot be directly applied to system (15).…”

Section: Design Of the Controllermentioning

confidence: 99%

Section: Design Of the Controllermentioning

confidence: 99%