Journal ArticleDOI
New Results on Stability of Slowly Switched Systems: A Multiple Discontinuous Lyapunov Function Approach
TLDR
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.Abstract:
In this technical note, the problem of stability for a class of slowly switched systems is investigated. By developing a novel multiple discontinuous Lyapunov function approach and exploring the feature of mode-dependent dwell time switching, 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. In particular, stability conditions for linear switched systems are also given via choosing multiple discontinuous Lyapunov functions in the quadratic form. Moreover, stability criteria for the systems consisting of stable subsystems are also derived. It is shown that our proposed results cover some existing ones in literature as special cases, and provide tighter bounds on the dwell time. Finally, some simulation results are provided to show the advantages of the theoretic results obtained.read more
Citations
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Journal ArticleDOI
Event-Triggered Control for Consensus Problem in Multi-Agent Systems With Quantized Relative State Measurements and External Disturbance
TL;DR: This paper integrates the two control strategies to investigate the bounded consensus problem of multi-agent systems (MASs) with external disturbance on the basis of an undirected graph, namely, the quantized control and the event-triggered control.
Journal ArticleDOI
Observer-Based Adaptive SMC for Nonlinear Uncertain Singular Semi-Markov Jump Systems With Applications to DC Motor
TL;DR: The observer-based adaptive sliding mode control (OBASMC) design for nonlinear uncertain singular semi-Markov jump systems satisfies the singular property and follows a stochastic semi- Markov process related to Weibull distribution.
Journal ArticleDOI
Fuzzy-Based Multierror Constraint Control for Switched Nonlinear Systems and Its Applications
TL;DR: A framework of adaptive control for a switched nonlinear system with multiple prescribed performance bounds is established using an improved dwell time technique and all signals appearing in the closed-loop system are bounded.
Journal ArticleDOI
Adaptive Neural State-Feedback Tracking Control of Stochastic Nonlinear Switched Systems: An Average Dwell-Time Method
TL;DR: A valid adaptive neural state-feedback controller design algorithm is presented such that all the signals of the switched closed-loop system are in probability semiglobally uniformly ultimately bounded, and the tracking error eventually converges to a small neighborhood of the origin in probability.
Journal ArticleDOI
Finite-Time Event-Triggered Control for Semi-Markovian Switching Cyber-Physical Systems With FDI Attacks and Applications
TL;DR: This paper addresses the finite-time event-triggered control problem for nonlinear semi-Markovian switching cyber-physical systems (S-MSCPSs) under false data injection (FDI) attacks by using a mode-dependent piecewise Lyapunov-Krasovskii functional and some solvability conditions are established in light of a linear matrix inequality framework.
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
Multiple Lyapunov functions and other analysis tools for switched and hybrid systems
TL;DR: Bendixson's theorem is extended to the case of Lipschitz continuous vector fields, allowing limit cycle analysis of a class of "continuous switched" systems.
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.
Journal ArticleDOI
Stability and Stabilization of Switched Linear Systems With Mode-Dependent Average Dwell Time
TL;DR: 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.
Journal ArticleDOI
Technical communique: Asynchronously switched control of switched linear systems with average dwell time
Lixian Zhang,Huijun Gao +1 more
TL;DR: By allowing the Lyapunov-like function to increase during the running time of active subsystems, the extended stability results for switched systems with ADT in nonlinear setting are derived and the asynchronously switched stabilizing control problem for linear cases is solved.