Journal ArticleDOI
Hybrid Control for Switched Linear Systems With Average Dwell Time
Chengzhi Yuan,Fen Wu +1 more
TLDR
This hybrid control scheme provides an efficient and systematic way for designing average dwell time switched linear control systems in the sense that the boundary condition can be incorporated into the synthesis problem in a convex formulation.Abstract:
This technical note presents a hybrid control scheme for the output-feedback control of switched linear systems with average dwell time. The proposed hybrid controller consists of a standard switching output-feedback control law and a supervisor enforcing a reset rule for the switching controller states at each switching instant. This hybrid control scheme provides an efficient and systema tic way for designing average dwell time switched linear control systems in the sense that the boundary condition can be incorporated into the synthesis problem in a convex formulation. Specifically, bo th full-order and reduced-order controllers with guaranteed stability and optimal weighted H1 performance will be solved by linear matrix inequality (LMI) optimizations. Simulation studies are included to illustrate the effectiveness of the proposed approach. Index Terms—Switching control; average dwell time; controller state reset; full-order and reduced-order controllers; LMI.read more
Citations
More filters
Journal ArticleDOI
$H_\infty$ Refined Antidisturbance Control of Switched LPV Systems With Application to Aero-Engine
TL;DR: A parameter-dependent multiple discontinuous Lyapunov function (PMDLF) approach is proposed to study the refined antidisturbance control problem of switched linear parameter-varying systems, and an example of an aero-engine control system is given to verify the availability of the acquired approaches.
Journal ArticleDOI
Control of non-linear switched systems with average dwell time: interval observer-based framework
Zhongwei He,Wei Xie +1 more
TL;DR: In this paper, an interval observer is designed to estimate the states of non-linear switched systems with the average dwell time scheme, and sufficient conditions for state estimation are presented in terms of an LMI formulation.
Journal ArticleDOI
Quadratic stabilization of switched uncertain linear systems: a convex combination approach
TL;DR: This work proposes a state-dependent switching law, based on the convex combination of subsystems, such that the entire switched linear system is quadratically stable.
Journal ArticleDOI
Stabilization of switched linear systems via admissible edge-dependent switching signals
TL;DR: The proposed AED-ADT switching is more general than mode-dependent average dwell time (MDADT) switching and stabilization conditions for switched linear systems are established by designing state-feedback switching controller whose gain matrices can be obtained by solving linear matrix inequalities.
References
More filters
Book
Linear Matrix Inequalities in System and Control Theory
TL;DR: In this paper, the authors present a brief history of LMIs in control theory and discuss some of the standard problems involved in LMIs, such as linear matrix inequalities, linear differential inequalities, and matrix problems with analytic solutions.
Book
Robust and Optimal Control
TL;DR: This paper reviewed the history of the relationship between robust control and optimal control and H-infinity theory and concluded that robust control has become thoroughly mainstream, and robust control methods permeate robust control theory.
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.