Journal ArticleDOI
Stability and Stabilization of Switched Linear Systems With Mode-Dependent Average Dwell Time
TLDR
The stability and stabilization problems for a class of switched linear systems with mode-dependent average dwell time (MDADT) are investigated in both continuous-time and discrete-time contexts.Abstract:
In this paper, the stability and stabilization problems for a class of switched linear systems with mode-dependent average dwell time (MDADT) are investigated in both continuous-time and discrete-time contexts. The proposed switching law is more applicable in practice than the average dwell time (ADT) switching in which each mode in the underlying system has its own ADT. The stability criteria for switched systems with MDADT in nonlinear setting are firstly derived, by which the conditions for stability and stabilization for linear systems are also presented. A numerical example is given to show the validity and potential of the developed techniques.read more
Citations
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Journal ArticleDOI
Adaptive tracking control for a class of uncertain switched nonlinear systems
TL;DR: It is shown that the designed state-feedback controllers can ensure that all the signals remain bounded and the tracking error converges to a small neighborhood of the origin.
Journal ArticleDOI
Analysis and synthesis of networked control systems: A survey of recent advances and challenges.
TL;DR: This paper attempts to present an overview of recent advances and unify them in a framework of network-induced issues such as signal sampling, data quantization, communication delay, packet dropouts, medium access constraints, channel fading and power constraint, and present respective solution approaches to each of these issues.
Journal ArticleDOI
Adaptive tracking control for switched stochastic nonlinear systems with unknown actuator dead-zone
TL;DR: By combining radial basis function neural networks' universal approximation ability and adaptive backstepping technique with common stochastic Lyapunov function method, an adaptive control algorithm is proposed for the considered system and it is shown that the target signal can be almost surely tracked by the system output.
Journal ArticleDOI
Switching Stabilization for a Class of Slowly Switched Systems
TL;DR: In this technical note, the problem of switching stabilization for slowly switched linear systems is investigated and sufficient condition of stabilization for switched systems with all stable subsystems under MDADT switching is given.
Journal ArticleDOI
New Results on Stability of Slowly Switched Systems: A Multiple Discontinuous Lyapunov Function Approach
TL;DR: New stability conditions are established for systems with a designed switching strategy where fast switching and slow switching are respectively applied to unstable and stable subsystems, via choosing multiple discontinuous Lyapunov functions in the quadratic form.
References
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Book
Switching in Systems and Control
TL;DR: I. Stability under Arbitrary Switching, Systems not Stabilizable by Continuous Feedback, and Systems with Sensor or Actuator Constraints with Large Modeling Uncertainty.
Journal ArticleDOI
Stability and Stabilizability of Switched Linear Systems: A Survey of Recent Results
Hai Lin,Panos J. Antsaklis +1 more
TL;DR: This paper focuses on the stability analysis for switched linear systems under arbitrary switching, and highlights necessary and sufficient conditions for asymptotic stability.
Proceedings ArticleDOI
Stability of switched systems with average dwell-time
Joao P. Hespanha,A.S. Morse +1 more
TL;DR: In this article, it was shown that scale-independent hysteresis can produce switching that is slow-on-the-average and therefore the results mentioned above can be used to study the stability of adaptive control systems.
Stability of Switched Systems with Average Dwell-Time 1
P. Hespanha,A. Stephen Morse +1 more
TL;DR: In this article, it was shown that switching among stable linear systems results in a stable system provided that switching is slow-on-the-average, i.e., the number of switches in any nite interval grows linearly with the length of the interval, and the growth rate is suciently small.
Journal ArticleDOI
Perspectives and results on the stability and stabilizability of hybrid systems
TL;DR: In this paper, the authors introduce the concept of hybrid systems and some of the challenges associated with the stability of such systems, including the issues of guaranteeing stability of switched stable systems and finding conditions for the existence of switched controllers for stabilizing switched unstable systems.