scholarly journals Stabilization and Controller Design of 2D Discrete Switched Systems with State Delays under Asynchronous Switching

2013 ◽  
Vol 2013 ◽  
pp. 1-12 ◽  
Author(s):  
Shipei Huang ◽  
Zhengrong Xiang ◽  
Hamid Reza Karimi
Keyword(s):  
Switched Systems ◽  
Dwell Time ◽  
State Feedback ◽  
Controller Design ◽  
Robust Stabilization ◽  
Asynchronous Switching ◽  
Parameter Uncertainties ◽  
State Delays ◽  
Discrete Switched Systems ◽  
The Stability

This paper is concerned with the problem of robust stabilization for a class of uncertain two-dimensional (2D) discrete switched systems with state delays under asynchronous switching. The asynchronous switching here means that the switching instants of the controller experience delays with respect to those of the system. The parameter uncertainties are assumed to be norm-bounded. A state feedback controller is proposed to guarantee the exponential stability. The dwell time approach is utilized for the stability analysis and controller design. A numerical example is given to illustrate the effectiveness of the proposed method.

scholarly journals Robust Reliable Control of Uncertain Discrete Impulsive Switched Systems with State Delays

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Xia Li ◽  
Hamid Reza Karimi ◽  
Zhengrong Xiang
Keyword(s):  
Switched Systems ◽  
Controller Design ◽  
Average Dwell Time ◽  
Linear Matrix ◽  
Reliable Control ◽  
Parameter Uncertainties ◽  
State Delays ◽  
Exponentially Stable ◽  
Impulsive Switched Systems ◽  
Robust Reliable Control

This paper is concerned with the problem of robust reliable control for a class of uncertain discrete impulsive switched systems with state delays, where the actuators are subjected to failures. The parameter uncertainties are assumed to be norm-bounded, and the average dwell time approach is utilized for the stability analysis and controller design. Firstly, an exponential stability criterion is established in terms of linear matrix inequalities (LMIs). Then, a state feedback controller is constructed for the underlying system such that the resulting closed-loop system is exponentially stable. A numerical example is given to illustrate the effectiveness of the proposed method.

Stabilization for a class of switched neutral systems under asynchronous switching

2011 ◽  
Vol 34 (7) ◽  
pp. 793-801 ◽  
Author(s):  
Zhengrong Xiang ◽  
Ya-Nan Sun ◽  
Qingwei Chen
Keyword(s):  
Stability Analysis ◽  
Dwell Time ◽  
State Feedback ◽  
Asynchronous Switching ◽  
Neutral Systems ◽  
Weighting Matrix ◽  
System A ◽  
The Stability ◽  
Matrix Scheme ◽  
Switched Neutral Systems

This paper investigates the problem of stabilization for a class of switched neutral systems under asynchronous switching, where the switching instants of the controller experience delays with respect to those of the system. A state feedback controller is proposed to guarantee exponential stability for switched neutral systems, and the dwell time approach and free weighting matrix scheme are utilized for the stability analysis. A numerical example is given to illustrate the effectiveness of the proposed method.

H∞ control for a class of continuous-time switched systems with state constraints via a mode-dependent switching method

2018 ◽  
Vol 40 (11) ◽  
pp. 3358-3367 ◽  
Author(s):  
Qingyu Su ◽  
Haichao Zhu ◽  
Jian Li
Keyword(s):  
Switched Systems ◽  
Dwell Time ◽  
State Feedback ◽  
State Constraints ◽  
Average Dwell Time ◽  
Decay Rates ◽  
Globally Asymptotically Stable ◽  
Average Dwell Time Method ◽  
Linear State ◽  
Switching Method

In this paper, the H∞ control problem for linear state-constrained switched systems via the improved mode-dependent average dwell time method is investigated. Using this proposed method, which considers different decay rates of a Lyapunov function related to an active subsystem on the basis of whether there is saturation or not, the resulting minimum admissible mode-dependent average dwell time is smaller than that of the traditional average dwell time method, which assumes a constant decay rate, regardless of whether there is saturation or not. Thus, this method is less conservative than the traditional average dwell time method. In addition, this paper outlines the design of the state feedback controller of the switched systems, which guarantees that the closed-loop linear state-constrained switched system is globally asymptotically stable and obtains a weighted L2 gain. The availability and applicability of the proposed method are shown by the application of a boost converter.

New stabilization results for discrete-time positive switched systems with forward mode-dependent average dwell time

2016 ◽  
Vol 39 (2) ◽  
pp. 224-229 ◽  
Author(s):  
Tingting Liu ◽  
Baowei Wu ◽  
Yue-E Wang ◽  
Lili Liu
Keyword(s):  
Discrete Time ◽  
Switched Systems ◽  
Dwell Time ◽  
Stability Result ◽  
Average Dwell Time ◽  
Feedback Controllers ◽  
Multiple Sample ◽  
The Stability ◽  
Positive Switched Systems ◽  
Time Linear

The stability and stabilization of discrete-time linear positive switched systems are discussed in this paper. First, based on the concept of the forward mode-dependent average dwell time, a stability result for discrete-time linear positive switched systems is obtained by utilizing the multiple linear copositive Lyapunov functions. Then, by introducing multiple-sample Lyapunov-like functions variation, a new exponential stability result is derived. Finally, the conditions for the existence of mode-dependent stabilizing state feedback controllers are investigated, and two illustrative examples are given to show the correctness of the theoretical results obtained.

Robust H∞ State Feedback Control With Regional Pole Constraints: An Algebraic Riccati Equation Approach

1998 ◽  
Vol 120 (2) ◽  
pp. 289-292 ◽  
Author(s):  
Zidong Wang
Keyword(s):  
Riccati Equation ◽  
State Feedback ◽  
Closed Loop ◽  
Controller Design ◽  
State Feedback Control ◽  
Algebraic Riccati Equation ◽  
Equation Approach ◽  
Parameter Uncertainties ◽  
Realization Problem ◽  
Loop Matrix

This paper focuses on the controller design for uncertain linear continuous-time systems with H∞ norm and circular pole constraints and addresses the following multiobjective simultaneous realization problem: designing a state feedback controller such that the closed-loop system, for all admissible parameter uncertainties, simultaneously satisfies the prespecified H∞ norm constraint on the transfer function from disturbance input to output and the prespecified circular pole constraint on the closed-loop matrix. An effective, algebraic, modified Riccati equation approach is developed to solve this problem. The existence conditions, as well as the analytical expression of desired controllers, are derived. A numerical example is provided to show the directness and effectiveness of the present approach.

Stability Analysis Switched Systems

2013 ◽  
Vol 389 ◽  
pp. 685-691 ◽  
Author(s):  
Fu Jian Zhong ◽  
Yong Chi Zhao
Keyword(s):  
Stability Analysis ◽  
Switched Systems ◽  
Stability Problem ◽  
Dwell Time ◽  
Convex Combination ◽  
Time Switching ◽  
Arbitrary Switching ◽  
Stable Subsystem ◽  
The Stability ◽  
Stable Convex

In this note, we have derived stability for arbitrary switching about absolutely stable subsystem and the stability problem has derived stability for arbitrary switching above all. In the next place we analyze detailed stability for the dwell time switching. In the end, we discuss that the switched system exist stable convex combination switching. At last, we give several numerical results are given to illustrate our derived results.

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