Switching tracking control for linear time‐invariant systems without overshoot: a positive systems method

Zhang, Yaoli; Zhao, Jun

doi:10.1049/iet-cta.2018.5237

Cited by 6 publications

(4 citation statements)

References 28 publications

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“…Thus, identifying a class of switching signals to guarantee the desired performance is an interesting topic. Many related results have been obtained in Zhao and Hill (2008), Li and Zhao (2018), Liu et al (2018b), Wang et al (2018), Zhang and Zhao (2018), and Zhao et al (2020).…”

Section: Introductionmentioning

confidence: 64%

Output regulation for switched discrete-time systems with output signal quantization

Zhang

Zhao

2021

Transactions of the Institute of Measurement and Control

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This paper investigates the output regulation problem for switched discrete-time systems with output quantization. We adopt the quantized output in feedback controllers and allow each subsystem to have its own quantization density, so that the communication network can be efficiently utilized. By using the different coordinates transformation, the solvability of the output regulation problem is guaranteed under deigned output feedback controllers with the switching signals satisfying a dwell time constraint. In the simulation, a pulse-width modulation driven boost converter model is employed to validate the result.

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Section: Introductionmentioning

confidence: 64%

Output regulation for switched discrete-time systems with output signal quantization

Zhang

Zhao

2021

Transactions of the Institute of Measurement and Control

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“…Zhao and Wang 8 proposed novel reset controllers with state-dependent reset conditions to asymptotically trace a constant step reference without overshoot for minimum-phase linear SISO systems. Zhang and Zhao 9 obtained a non-negative invariant set of the output for the autonomous systems with the theory of positive systems. Based on it, controllers are designed to asymptotically trace a constant signal without overshoot.…”

Section: Introductionmentioning

confidence: 99%

Non-overshoot tracking control for positive continuous-time linear systems

Chen

Yang

2022

Proceedings of the Institution of Mechanical Engineers, Part I:

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This article focuses on state and output tracking control for positive continuous-time linear systems without overshoot. Linear state feedback controllers are designed respectively to ensure both the system state, and output can unilateral track the reference state and output. In addition, using Lyapunov direct method, the exponential convergence rate of tracking system is calculated. A numerical example is given to demonstrate the effectiveness of the proposed method.

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“…The positive system is a class of systems whose states maintain nonnegative all the time [20]. This nonnegative character can be utilized in no-overshooting tracking problem with the advantages of simple controller design and brief solution algorithm [21]. The application of positive system characteristic has been applied to many systems [22], including switched systems [23], fractional-order systems [24], and interconnected networked systems [25,26].…”

Section: Introductionmentioning

confidence: 99%

Safe approaching control for spacecraft rendezvous with disturbances: A positive system approach

Wang

Qiao

et al. 2021

Asian Journal of Control

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This paper concerns about the safe approaching in rendezvous with spherical envelops of spacecraft. Based on the nonnegative characteristic of positive systems, a novel strategy of controlling the relative distance positive and convergent is proposed to guarantee no‐collision approaching. The dynamics of the relative distance is decoupled from that of the relative angles. A nonlinear disturbance observer is designed, and two anti‐disturbance controllers are constructed to reject the effect of disturbances for the subsystems of relative distance and angles. Under the controllers, the closed‐loop subsystem of relative distance is a positive and stable system, while that of relative angles is a general stable system satisfying the given time‐varying constraints. Particularly, a theorem is proposed to present the conditions of controllers to ensure the system positivity under a class of external inputs without nonnegativity default. Finally, simulation results are presented to illustrate the effectiveness of proposed methods.

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Switching tracking control for linear time‐invariant systems without overshoot: a positive systems method

Cited by 6 publications

References 28 publications

Output regulation for switched discrete-time systems with output signal quantization

Output regulation for switched discrete-time systems with output signal quantization

Non-overshoot tracking control for positive continuous-time linear systems

Safe approaching control for spacecraft rendezvous with disturbances: A positive system approach

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