A Necessary and Sufficient Condition for Output Feedback Stabilizability of Linear Discrete-Time Systems

Rosinová, Danica; Veselý, Vojtech; Kučera, V.

doi:10.1016/s1474-6670(17)37185-9

Cited by 26 publications

(42 citation statements)

References 4 publications

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“…For brevity the detail steps of the proof are omitted where standard tools are applied. (i) ⇔ (ii): the proof is analogous to that in (Rosinová, Veselý, Kučera, 2003 Substituting for x δ from (5) to (18) and comparing with (16) provides D-stability of the considered system when the latter inequality holds. The guaranteed cost can be proved by summing or integrating both sides of the following inequality for t from 0 to ∞:…”

Section: Robust Optimal Controller Designmentioning

confidence: 95%

Robust Controller Design: New Approaches in the Time and the Frequency Domains

Veselý¹,

Rosinová²,

Kozáková³

2011

Robust Control, Theory and Applications

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Section: Robust Optimal Controller Designmentioning

confidence: 95%

Robust Controller Design: New Approaches in the Time and the Frequency Domains

Veselý¹,

Rosinová²,

Kozáková³

2011

Robust Control, Theory and Applications

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“…Even though a closed-form solution for the constant output feedback problem for linear discrete-time systems has not been discovered yet, the results in [12], [13] can be utilized to find an optimal solution. Another possible design procedure consists of designing the multiscale controller layer by layer.…”

Section: Multiscale Controller Designmentioning

confidence: 99%

Analysis and design of multiscale controllers for linear systems

Cimino

Pagilla

2012

2012 American Control Conference (ACC)

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Multiscale theory has been used in the signal processing area and modeling of some physical and chemical processes since the early 1990s. This theory provides systematic methods to project a signal onto orthogonal subspaces, each containing signal information at a different resolution, which could be useful for the design of control systems. However, there has not been much work done to determine the capabilities and properties of controllers obtained using multiscale theory. In this paper we describe a method to construct and we show some of the properties of linear multiscale controllers for linear time-invariant systems using finite-duration discrete wavelet functions.

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“…. in iteration process Y k = P. We can recast bilinear matrix inequality (18) to the linear matrix inequality (LMI) using linearization approach (19). The following LMI is obtained for quadratic stability…”

Section: Robust Model Predictive Controller Design Quadratic Stabilitymentioning

confidence: 99%

Robust model predictive control design with input constraints

2010

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The paper addresses the problem of designing a robust output/state model predictive control for linear polytopic systems with input constraints. The new predictive and control horizon model is derived as a linear polytopic system. Lyapunov function approach guarantees the quadratic stability and guaranteed cost for closed-loop system. The invariant set and an algorithm approach similar to Soft Variable-Structure Control (SVSC), ensures input constraints for the model predictive plant control system. In the proposed control scheme, the required on-line computation load is significantly less than in MPC literature, which opens the possibility to use these control design schemes not only for plants with slow dynamics, but also for faster ones.

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A Necessary and Sufficient Condition for Output Feedback Stabilizability of Linear Discrete-Time Systems

Cited by 26 publications

References 4 publications

Robust Controller Design: New Approaches in the Time and the Frequency Domains

Robust Controller Design: New Approaches in the Time and the Frequency Domains

Analysis and design of multiscale controllers for linear systems

Robust model predictive control design with input constraints

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