Controlled Invariant Polyhedral Sets for Constrained Discrete-Time Descriptor Systems

Araújo, José Mário; Dorea, Carlos E. T.

doi:10.1007/978-3-642-11628-5_42

Cited by 4 publications

(8 citation statements)

References 19 publications

(25 reference statements)

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“…with d m and d m + 1 being the disturbances at the present instant and one step ahead according to equation (17). In order to compute Du(k + 1), and, consequently, the control input u(k + 1) under the proposed structure, u(k) is treated as a state.…”

Section: Extending Ofci To Descriptor Systemsmentioning

confidence: 99%

“…On the basis of these definitions, the development that leads to Theorem 2.1 can be directly extended to the descriptor case, by replacing the corresponding matrices by those of system (17).…”

Section: Extending Ofci To Descriptor Systemsmentioning

confidence: 99%

“…The polyhedron of constraints is not OFCI in general. However, methods exist to compute controlled invariant polyhedra under state feedback [13][14][15][16][17].…”

Section: Remark 24mentioning

confidence: 99%

“…The constraints considered in this case are given by |q 1 | < 9, |q 2 | < 7, |q 3 | < 25.33, |u| < 15. The augmented system (17) was obtained, resulting in Such a polyhedron is not controlled invariant, but it is possible to compute the maximal Fig. 2 The assembly system with three tanks…”

Section: Output Feedback Designmentioning

confidence: 99%

“…In reference [17], by rewriting the state equations of the causal descriptor model, the known results of state feedback constrained control via controlled invariant polyhedra were adapted to descriptor systems. In this paper, the output feedback case is considered.…”

Section: Introductionmentioning

confidence: 99%

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Output feedback control of constrained descriptor systems: a case study of a hydraulic tank system

Araújo

Barroso

Barros

et al. 2011

Proceedings of the Institution of Mechanical Engineers, Part I:

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A novel technique is proposed for output feedback control of constrained linear discrete-time causal descriptor systems. In particular, it is shown how linear state and control constraints can be satisfied by using only output measurements corrupted by unknown but bounded noise. To this end, conditions are established under which a polyhedron contained in the set defined by the state constraints can be made invariant through output feedback. The control input which enforces the constraints can be computed online through the solution of linear programming problems. The proposed technique is then applied to the control of a hydraulic three-tank system. Simulated as well as experimental results illustrate the proposed technique and indicate that it can be potentially used in practical situations.

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Section: Extending Ofci To Descriptor Systemsmentioning

confidence: 99%

Section: Extending Ofci To Descriptor Systemsmentioning

confidence: 99%

“…The polyhedron of constraints is not OFCI in general. However, methods exist to compute controlled invariant polyhedra under state feedback [13][14][15][16][17].…”

Section: Remark 24mentioning

confidence: 99%

Section: Output Feedback Designmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations