Computation of the Largest Constraint Admissible Set for Linear Continuous-Time Systems with State and Input Constraints

Darup, Moritz Schulze; Mönnigmann, Martin

doi:10.3182/20140824-6-za-1003.00980

Cited by 5 publications

(3 citation statements)

References 12 publications

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“…Some other resources that provide information about the study of the concept MOA sets are given in the references [18][19][20][21][22][23][24]. In [18], Ossareh considered a Lyapunovstable periodic system and gave the development of the MOA set theory.…”

Section: Related Workmentioning

confidence: 99%

On the Maximal Output Admissible Set for a Class of Bilinear Discrete-time Systems

Benfatah

Bhih

Rachik

et al. 2021

Int. J. Control Autom. Syst.

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Given a discrete-time controlled bilinear systems with initial state x 0 and output function y i , we investigate the maximal output set Θ(Ω)where Ω is a given constraint set and is a subset of R p . Using some stability hypothesis, we show that Θ(Ω) can be determined via a finite number of inequations. Also, we give an algorithmic process to generate the set Θ(Ω). To illustrate our theoretical approach, we present some examples and numerical simulations. Moreover, to demonstrate the effectiveness of our approach in real-life problems, we provide an application to the SI epidemic model and the SIR model.

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Section: Related Workmentioning

confidence: 99%

On the Maximal Output Admissible Set for a Class of Bilinear Discrete-time Systems

Benfatah

Bhih

Rachik

et al. 2021

Int. J. Control Autom. Syst.

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show abstract

“…are n × n real matrices and f is continuous nonlinear functions on R n×(p+1) and C j is a q × n real matrix. p and m are integer such that m p. The observation variable y(i) ∈ R q , satisfies the output constraint p+1) is output ρ-admissible if β ∈ B(0, ρ) and the corresponding output (12) satisfies (13). The set of all such initial conditions is the maximal output ρ-admissible set Γ ρ (Ω).…”

Section: Maximal Output ρ-Admissible Sets For Semilinear Discrete Del...mentioning

confidence: 99%

“…They have concluded some results connected to the set MOAS, and they have shown also that MOAS is stable by a small perturbation of the constraint set as well. In (2014) Moritz Schulze Darup, Martin Mönnigmann [12] have presented a new method for the approximation of the largest constraint admissible set for linear continuous-time systems with state and input constraints. Faultlessly, the maximal output admissible set has been completely determined for linear systems with state and control constraints, and methods to exactly find maximal output admissible set have been established [9].…”

Section: Introductionmentioning

confidence: 99%

Archives of Control Sciences

Bhih

Benfatah

Rachik

2020

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Exact determinantions of maximal output admissible set for a class of semilinear discrete systems AMINE EL BHIH, YOUSSEF BENFATAH and MOSTAFA RACHIK Consider the semilinear system defined byand the corresponding output signal 0) is output admissible with respect to A, f , C and a constraint set Ω ⊂ R p , if the output signal (y(i)) i associated to our system satisfies the condition y(i) ∈ Ω, for every integer i 0. The set of all possible such initial conditions is the maximal output admissible set Γ(Ω). In this paper we will define a new set that characterizes the maximal output set in various systems (controlled and uncontrolled systems). Therefore, we propose an algorithmic approach that permits to verify if such set is finitely determined or not. The case of discrete delayed systems is taken into consideration as well. To illustrate our work, we give various numerical simulations.

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Efficient constraint adaptation for sampled linear systems

Darup

2015

2015 54th IEEE Conference on Decision and Control (CDC)

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Computation of the Largest Constraint Admissible Set for Linear Continuous-Time Systems with State and Input Constraints

Cited by 5 publications

References 12 publications

On the Maximal Output Admissible Set for a Class of Bilinear Discrete-time Systems

On the Maximal Output Admissible Set for a Class of Bilinear Discrete-time Systems

Archives of Control Sciences

Efficient constraint adaptation for sampled linear systems

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