A novel approach to control synthesis of positive switched systems

Zhang, Junfeng; Zhang, Ridong; Cai, Xiushan; Jia, Xianglei

doi:10.1049/iet-cta.2017.0811

Cited by 23 publications

(34 citation statements)

References 29 publications

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“…Remark Most existing literature on positive switched systems focus on the control synthesis but ignore the effects from actuator faults and saturation. As stated in the Introduction, actuator faults and saturation exist for most control systems due to unexpected factors.…”

Section: Resultsmentioning

confidence: 99%

“…Remark In the literature, the controller design of positive switched systems contains restrictions in the control gain. This paper removes the gain restriction by following the approach in the work of Zhang et al In the works of Hu et al and Zhang et al, the controller gain matrix consists of the sum of a normal gain matrix and a gain perturbation matrix, where the gain perturbation matrix is located in a certain interval. In order to increase the reliability of the controller, we define the gain perturbation matrix as a variable to be determined.…”

Section: Resultsmentioning

confidence: 99%

“…In the work of Liu et al, asynchronously switched controllers were designed for impulsive positive switched systems. Using a matrix decomposition approach, a novel controller design framework was established for positive switched systems in the work of Zhang et al…”

Section: Introductionmentioning

confidence: 99%

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Nonfragile reliable control for positive switched systems with actuator faults and saturation

Zhang

Jia

et al. 2019

Optim Control Appl Methods

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This paper presents a nonfragile reliable control approach to positive switched systems with actuator faults and saturation. In order to guarantee the reliability of the controller, the controller gain matrix is chosen as the sum of a normal gain matrix and a gain perturbation matrix. A nonfragile reliable control is first proposed for the considered systems using a gain matrix decomposition technique. Then, the presented nonfragile control design approach is developed for the systems with exogenous disturbances. An approach to compute the normal gain matrix and the gain perturbation matrix is also provided. Under the obtained controller, the resulting closed-loop systems are positive and L 1 -gain stable. Meanwhile, all the states will stay inside a cone. All presented conditions are described via linear programming. Finally, two examples are provided to verify the effectiveness of the theory findings. KEYWORDS actuator fault, actuator saturation, linear programming, nonfragile reliable control, positive switched systems 676

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Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

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Nonfragile reliable control for positive switched systems with actuator faults and saturation

Zhang

Jia

et al. 2019

Optim Control Appl Methods

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“…Remark 5: This paper has solved the double switchings reliable control problem of positive switched linear systems. Most of results on positive systems are concerned on linear systems [5]- [16]. Few efforts are devoted to nonlinear positive systems [17] though there have been many results on general nonlinear systems (non-positive) [35], [36].…”

Section: Choosing a Linear Co-positive Lyapunov Function Candidatementioning

confidence: 99%

Double Switchings Reliable Control of Positive Switched Systems With Unfixed Actuator Faults

Ding

Liu

et al. 2020

IEEE Access

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This paper investigates the double switchings reliable control of positive switched systems with actuator faults. Different from existing fixed actuator faults, a class of unfixed actuator faults is introduced, where each subsystem can have several faults rather than only a fault. First, a periodic occurring fault is considered for the subsystems. Using linear Lyapunov functions with linear programming, a set of reliable controllers is designed for positive switched systems. Then, an average dwell time based switching law between the normal and faulty modes of subsystems is established. In detail, the considered systems consist of several switched subsystems, where the subsystems have normal and faulty modes. In such a case, two classes of multiple linear Lyapunov functions are constructed for the subsystems and the whole switched systems, respectively. Accordingly, two classes of reliable controllers are designed for the normal and faulty modes, respectively. Meanwhile, two classes of average dwell time switching laws, named double switchings laws, are designed for the subsystems and the whole switched systems, respectively. Finally, two examples are provided to illustrate the effectiveness of the proposed design. INDEX TERMS Double switchings, positive switched systems, unfixed actuator faults.

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“…For instance, stability analysis and delay control for switched positive systems were studied in [26]. Indeed, stability for such systems, based on multiple linear copositive Lyapunov functions, can be attained when the dwell time [27] and the average dwell time [17, 19, 21] switching mechanism are employed. Moreover, several improved stability criteria were presented for switched positive systems in [28].…”

Section: Introductionmentioning

confidence: 99%

Stability and guaranteed cost analysis of switched positive systems with mode‐dependent dwell time and sampling

Wang

Zhao

2020

IET Control Theory & Applications

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A novel approach to control synthesis of positive switched systems

Cited by 23 publications

References 29 publications

Nonfragile reliable control for positive switched systems with actuator faults and saturation

Nonfragile reliable control for positive switched systems with actuator faults and saturation

Double Switchings Reliable Control of Positive Switched Systems With Unfixed Actuator Faults

Stability and guaranteed cost analysis of switched positive systems with mode‐dependent dwell time and sampling

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