Feedback Control of Discrete Linear Switching Systems with Bounded State and Control Input in the Presence of Disturbances

Fan, Guowei; Liu, Zhiyuan; Chen, Hong

doi:10.3724/sp.j.1004.2010.01115

Cited by 7 publications

(3 citation statements)

References 8 publications

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“…As introduced in Benzaouia (2007) and Fan et al (2010), the hybrid time basis t and the controlled execution of linear switching systems H are given below.…”

Section: Definitions and Problem Presentationmentioning

confidence: 99%

“…Much of the work in controller synthesis of switching systems is based on a full knowledge of the hybrid state, and several controller design techniques have been developed (Benzaouia, 2007;Fan et al, 2010Fan et al, , 2012Liu et al, 2012;Santis et al, 2006). However, in many application domains, this unrealistic assumption is not always verified.…”

Section: Introductionmentioning

confidence: 99%

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Output feedback controller design of discrete-time linear switching systems

Fan

Liu

Chen

et al. 2013

Transactions of the Institute of Measurement and Control

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This paper presents some stability synthesis results for the discrete-time linear switching systems whose dynamics contain reset functions and are determined by exogenous and uncontrollable events. First, for autonomous linear switching systems, conditions of stability are given in terms of a new definition of d-controlled invariant set, and existence conditions to obtain such a set are presented. Then, under the assumption that the discrete state is known and the continuous state is unavailable for feedback, this new result is used to find the sufficient conditions for the existence of an observerbased stabilizing controller and dynamic output feedback controller. Such a design can be formulated in terms of linear matrix inequalities, which are numerically feasible with commercially available software. Finally, illustrative examples are given to indicate the effectiveness of the proposed design.

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“…As introduced in Benzaouia (2007) and Fan et al (2010), the hybrid time basis t and the controlled execution of linear switching systems H are given below.…”

Section: Definitions and Problem Presentationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Output feedback controller design of discrete-time linear switching systems

Fan

Liu

Chen

et al. 2013

Transactions of the Institute of Measurement and Control

Self Cite

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show abstract

“…In the case of parameter uncertainty, we have discussed the stabilizing problems for the disturbed linear switching systems and the uncertain linear switching systems in our previous works [7,8]. In [8], the uncertain linear switching systems with control input constraint are considered, and the proposed robust stabilizing controller is based on the candidate state feedback one which can stabilize the nominal discrete-time linear switching systems.…”

Section: Introductionmentioning

confidence: 99%

Robust Stabilizing Controller Design for the Uncertain Discrete-Time Linear Switching Systems

Fan

2013

2013 Third International Conference on Instrumentation, Measurement, Computer, Communication and Control

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This paper discussed the discrete-time linear switching systems whose discrete mode transitions are caused by discrete disturbance events and have continuous state reset functions, in the presence of parameter uncertainty state and control input bounds, the problem of robust stabilizing controller design is researched, and a method of static state feedback stabilizing controller is proposed. The relation between robust stability and existence of a robust controlled invariant set is constructed, and a test condition which can achieve in finite number steps is given. Based on the robust stability condition and the notation of linear un-saturation region for control input, the proposed robust stabilizing controller can be obtained by solving of a finite number of inequalities. At last, a numerical example is given to show the validity of the method.

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Robust and nonlinear control literature survey (No. 22)

2011

Intl J Robust & Nonlinear

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In order to keep readers up-to-date, the journal will contain a list of recently published journal articles relevant to the fields of robust and nonlinear control six times a year. This list is compiled from a wide range of journals. Please note that although the list has been broadly categorized, these classifications are by no means strict, and are there to assist the reader. Please also note that inclusion in the list is not an endorsement of a paper's quality. If you have any suggestions or comments, please e-mail Dr Jiqiang Wang at jiqiang.wang@nuaa.edu.cn. THEORETICAL DEVELOPMENTS IN ROBUST CONTROL

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Feedback Control of Discrete Linear Switching Systems with Bounded State and Control Input in the Presence of Disturbances

Cited by 7 publications

References 8 publications

Output feedback controller design of discrete-time linear switching systems

Output feedback controller design of discrete-time linear switching systems

Robust Stabilizing Controller Design for the Uncertain Discrete-Time Linear Switching Systems

Robust and nonlinear control literature survey (No. 22)

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