Search results for "Time-varying delay"

showing 5 items of 5 documents

Asynchronous L1 control of delayed switched positive systems with mode-dependent average dwell time

2014

Abstract This paper investigates the stability and asynchronous L 1 control problems for a class of switched positive linear systems (SPLSs) with time-varying delays by using the mode-dependent average dwell time (MDADT) approach. By allowing the co-positive type Lyapunov–Krasovskii functional to increase during the running time of active subsystems, a new stability criterion for the underlying system with MDADT is first derived. Then, the obtained results are extended to study the issue of asynchronous L 1 control, where “asynchronous” means that the switching of the controllers has a lag with respect to that of system modes. Sufficient conditions are provided to guarantee that the resulti…

Asynchronous switchingInformation Systems and ManagementAsynchronous switching; Average dwell time; Positive system; Switched system; Time-varying delay; Artificial Intelligence; Software; Control and Systems Engineering; Theoretical Computer Science; Computer Science Applications1707 Computer Vision and Pattern Recognition; Information Systems and ManagementStability criterionComputer scienceLinear systemPositive systemComputer Science Applications1707 Computer Vision and Pattern RecognitionPositive systemsTime-varying delayStability (probability)Computer Science ApplicationsTheoretical Computer ScienceDwell timeExponential stabilityArtificial IntelligenceControl and Systems EngineeringControl theoryAsynchronous communicationAverage dwell timeSwitched systemSoftwareInformation Sciences
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Stabilization of positive switched systems with time-varying delays under asynchronous switching

2014

Published version of an article in the journal: International Journal of Control, Automation and Systems. Also available from the publisher at: http://dx.doi.org/10.1007/s12555-013-0486-x This paper investigates the state feedback stabilization problem for a class of positive switched systems with time-varying delays under asynchronous switching in the frameworks of continuous-time and discrete-time dynamics. The so-called asynchronous switching means that the switches between the candidate controllers and system modes are asynchronous. By constructing an appropriate co-positive type Lyapunov-Krasovskii functional and further allowing the functional to increase during the running time of ac…

Asynchronous switchingpositive systemsAsynchronous switching; average dwell time; positive systems; switched systems; time-varying delays; Control and Systems Engineering; Computer Science Applications1707 Computer Vision and Pattern Recognitionbusiness.industryComputer scienceControl (management)time-varying delaysComputer Science Applications1707 Computer Vision and Pattern RecognitionRoboticsControl engineeringPositive systemsMechatronicsVDP::Mathematics and natural science: 400::Mathematics: 410::Analysis: 411AutomationComputer Science ApplicationsControl and Systems EngineeringAsynchronous communicationswitched systemsArtificial intelligencebusinessaverage dwell timeInternational Journal of Control, Automation and Systems
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Stabilization and lx -gain analysis of switched positive systems with actuator saturation

2014

This paper is concerned with the problems of stability and l 1 -gain analysis for a class of switched positive systems with time-varying delays and actuator saturation. Firstly, a convex hull representation is used to describe the saturation behavior. By constructing a multiple co-positive Lyapunov functional, sufficient conditions are provided for the closed-loop system to be locally asymptotically stable at the origin of the state space under arbitrary switching. Then, the l 1 -gain performance analysis in the presence of actuator saturation is developed. Finally, two numerical examples are provided to demonstrate the effectiveness of the proposed method.

Convex hulll<inf>1</inf>-gain performanceApplied MathematicsTime-varying delaysActuator saturationComputer Science Applications1707 Computer Vision and Pattern RecognitionPositive systemsActuator saturation; l<inf>1</inf>-gain performance; Positive systems; Switched systems; Time-varying delays; Computer Science Applications1707 Computer Vision and Pattern Recognition; Control and Systems Engineering; Applied Mathematics; Modeling and SimulationStability (probability)Positive systemsActuator saturationControl theoryControl and Systems EngineeringStability theoryModeling and SimulationState spaceRepresentation (mathematics)Saturation (chemistry)Switched systemsMathematics
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Robust fault detection for switched systems with time-varying delay using delta operator approach

2014

delta operatorControl and Systems EngineeringControl theoryfault detection observersswitched systemstime-varying delaysControl engineeringDelta operatordelta operator; fault detection observers; switched Lyapunov function; switched systems; time-varying delays; Control and Systems Engineeringswitched Lyapunov functionFault detection and isolationMathematics2014 UKACC International Conference on Control (CONTROL)
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Positive L1 observer design for positive Switched systems

2014

Published version of an article in the journal: Circuits, Systems, and Signal Processing. Also available from the publisher at: http://dx.doi.org/10.1007/s00034-013-9737-6 This paper investigates the problem of L1 observer design for positive switched systems. Firstly, a new kind of positive L1 observer is proposed for positive switched linear delay-free systems with observable and unobservable subsystems. Based on the average dwell time approach, a sufficient condition is proposed to ensure the existence of the positive L1 observer. Under the condition obtained, the estimated error converges to zero exponentially, and the L1 -gain from the disturbance input to the estimated error is less t…

exponetial stabiblityApplied MathematicsSignal ProcessingVDP::Technology: 500::Mechanical engineering: 570positive observerswitched systemstime-varying delaysAverage dwell time; Exponential stability; Positive observer; Switched systems; Time-varying delays; Signal Processing; Applied MathematicsExponential stabilityVDP::Mathematics and natural science: 400::Mathematics: 410::Analysis: 411average dwell time
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