H∞Control for a Class of Continuous-time Switched Systems with State Constraints

The stability and the stabilization problems for a class of continuous-time switched systems with state constraints via a mode-dependent switching method are investigated. The paper presents an improved average dwell time method, which considers different decay rates of a Lyapunov function related to each of the active subsystems according to whether the saturations occur or not, respectively. It is shown that the improved average dwell time method is less conservative than the common average dwell time method. Based on the improved average dwell time method, the sufficient conditions and state feedback controllers for stabilization of the switched system are derived. A numerical example is given to illustrate the proposed approach.

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Dynamic output feedback H∞ control for continuous-time switched systems

IECON 2017 - 43rd Annual Conference of the IEEE Industrial Electronics Society ◽

10.1109/iecon.2017.8217319 ◽

2017 ◽

Author(s):

Shuang Shi ◽

Shuaikang Wang ◽

Shunqing Ren ◽

Zhongyang Fei

Keyword(s):

Output Feedback ◽

Continuous Time ◽

Switched Systems ◽

Dynamic Output Feedback ◽

Dynamic Output

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Stabilization of a Class of Nonlinear Switched Systems with Continuous-time and Discrete-time Subsystems

2007 Chinese Control Conference ◽

10.1109/chicc.2006.4346966 ◽

2006 ◽

Author(s):

Bai Xiaoming ◽

Li Huimin ◽

Yang Xiaosong

Keyword(s):

Discrete Time ◽

Continuous Time ◽

Switched Systems ◽

Nonlinear Switched Systems

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Fault detection for continuous-time switched systems under asynchronous switching

International Journal of Robust and Nonlinear Control ◽

10.1002/rnc.2961 ◽

2013 ◽

Vol 24 (11) ◽

pp. 1694-1706 ◽

Cited By ~ 32

Author(s):

Dongsheng Du ◽

Bin Jiang ◽

Peng Shi ◽

Hamid Reza Karimi

Keyword(s):

Fault Detection ◽

Continuous Time ◽

Switched Systems ◽

Asynchronous Switching

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Finite-time stability for continuous-time switched systems in the presence of impulse effects

IET Control Theory and Applications ◽

10.1049/iet-cta.2011.0529 ◽

2012 ◽

Vol 6 (11) ◽

pp. 1741 ◽

Cited By ~ 22

Author(s):

Y. Wang ◽

X. Shi ◽

G. Wang ◽

Z. Zuo

Keyword(s):

Continuous Time ◽

Finite Time ◽

Switched Systems ◽

Time Stability ◽

Finite Time Stability

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

Transactions of the Institute of Measurement and Control ◽

10.1177/0142331217746626 ◽

2018 ◽

Vol 40 (11) ◽

pp. 3358-3367 ◽

Cited By ~ 2

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.

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