Robust stability and stabilization of linear switched systems with dwell time

Allerhand, Liron I.; Shaked, U.

doi:10.1109/systol.2010.5676001

Cited by 61 publications

(173 citation statements)

References 6 publications

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“…Therefore this paper is a continuation and extension efforts of the author previous work dealing with the robust stability of an interval or uncertain system, as an efficient and helpful tool for control systems engineers [8][9][10][11][12][13][14][15]. The following three different unique engineering examples will be used to validate and demonstrate the methodology and used technique.…”

Section: Methodolgy and Simmulationmentioning

confidence: 99%

Modeling Mechanical and Electrical Uncertain Systems using Functions of Robust Control MATLAB Toolbox®3

Hussein¹

2015

ijacsa

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Abstract-Uncertainty is inherent property of all real life control systems, and this is due to that there is nothing constant practically; all parameters are going to change under some environmental circumstances, therefore control engineers must not ignore this changing since it can affect the behavior and the performance of the system. In this paper a critical research method for modeling uncertain systems is demonstrated with the utilization of built in robust control Mat-lab Toolbox®3 functions. Good results were obtained for testing the stability of interval linear time invariant systems.Finally mechanical and electrical uncertain systems were implemented as practical example to validate the uncertainty.

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Section: Methodolgy and Simmulationmentioning

confidence: 99%

Modeling Mechanical and Electrical Uncertain Systems using Functions of Robust Control MATLAB Toolbox®3

Hussein¹

2015

ijacsa

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“…Here we use the ideas espoused in [13] to incorporate dwell time constraints into this formulation. For our main result, Theorem 1, we need the following definition of the switching control law:…”

Section: Fig 2: Dwell-time Switching Signalmentioning

confidence: 99%

“…In fact, in some cases, at least in an ideal setting, optimal controls can be shown to be sliding mode, and therefore switch infinitely fast [10]. This leads us to consider application of results on switching control with a 'dwell time' constraint following lines such as [13]. We extend these early results on infinite time dwell time constrained switching to finite time results for application to a model of HIV mutation dynamics.…”

Section: Introductionmentioning

confidence: 98%

Sub-optimal switching with dwell time constraints for control of viral mutation

Hernandez‐Vargas

Colaneri

Middleton

2012

2012 IEEE 51st IEEE Conference on Decision and Control (CDC)

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Abstract-Regulation of mutant viri is important in many disease including HIV infection. Under current multi-drug AntiRetroviral Therapies for HIV treatment, resistant mutations and failure to regulate viral load is typically observed after approximately 6 years. When this occurs, the current therapy must be abandoned and a new therapy initiated. An alternate approach is to treat this as a switching control problem, wherein therapy may be alternated well before virological failure is observed. In this paper we extend previous work on suboptimal control of a simplified model of HIV infection with mutations. The particular extension here is to include a 'dwell time' constraint on the switching actions, that is, impose a strict minimum time between altering therapy.

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“…For instances , in recent research robust stability and stabilization of linear switched systems with dwell time [10], as well stability of unfalsified adaptive switching control in noisy environments [11] were discussed.…”

Section: Uncertain Systems and Robust Stabilitymentioning

confidence: 99%

Assessing 3-D Uncertain System Stability by Using MATLAB Convex Hull Functions

Hussein¹

2011

IJACSA

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Abstract-This paper is dealing with the robust stability of an uncertain three dimensional (3-D) system using existence MATLAB convex hull functions. Hence, the uncertain model of plant will be simulated by INTLAB Toolbox; furthermore, the root loci of the characteristic polynomials of the convex hull are obtained to judge whether the uncertain system is stable or not. A design third order example for uncertain parameters is given to validate the proposed approach.

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Robust stability and stabilization of linear switched systems with dwell time

Cited by 61 publications

References 6 publications

Modeling Mechanical and Electrical Uncertain Systems using Functions of Robust Control MATLAB Toolbox®3

Modeling Mechanical and Electrical Uncertain Systems using Functions of Robust Control MATLAB Toolbox®3

Sub-optimal switching with dwell time constraints for control of viral mutation

Assessing 3-D Uncertain System Stability by Using MATLAB Convex Hull Functions

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