Fuzzy Finite Time Control for Switched Systems via Adding a Barrier Power Integrator

Abstract This paper addresses a finite-time regulation problem for time-varying nonlinear systems in p-normal form. This class of time-varying systems includes a well-known lower-triangular system and a chain of power integrator systems as special cases. No growth condition on time-varying uncertainties is imposed. The control law can guarantee that all closed-loop trajectories are bounded and well defined. Furthermore, all states converge to zero in finite time.

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Guaranteed Cost Finite-Time Control of Fractional-Order Nonlinear Positive Switched Systems with D-Perturbations via MDADT

Journal of Systems Science and Complexity ◽

10.1007/s11424-018-7347-x ◽

2018 ◽

Vol 32 (3) ◽

pp. 857-874 ◽

Cited By ~ 3

Author(s):

Leipo Liu ◽

Xiangyang Cao ◽

Zhumu Fu ◽

Shuzhong Song ◽

Hao Xing

Keyword(s):

Fractional Order ◽

Finite Time ◽

Switched Systems ◽

Time Control ◽

Guaranteed Cost ◽

Positive Switched Systems

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Finite-time control and L 1 -gain analysis for positive switched systems

Optimal Control Applications and Methods ◽

10.1002/oca.2129 ◽

2014 ◽

Vol 36 (4) ◽

pp. 550-565 ◽

Cited By ~ 25

Author(s):

Junfeng Zhang ◽

Zhengzhi Han ◽

Fubo Zhu

Keyword(s):

Finite Time ◽

Switched Systems ◽

Time Control ◽

Positive Switched Systems

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Nonfragile observer-based guaranteed cost finite-time control of discrete-time positive impulsive switched systems

Open Mathematics ◽

10.1515/math-2019-0058 ◽

2019 ◽

Vol 17 (1) ◽

pp. 716-727

Author(s):

Leipo Liu ◽

Hao Xing ◽

Xiangyang Cao ◽

Xiushan Cai ◽

Zhumu Fu

Keyword(s):

Discrete Time ◽

Finite Time ◽

Switched Systems ◽

Sufficient Conditions ◽

Average Dwell Time ◽

Actual State ◽

Time Control ◽

Guaranteed Cost ◽

Impulsive Switched Systems ◽

Positive Observer

Abstract This paper considers the nonfragile observer-based guaranteed cost finite-time control of discrete-time positive impulsive switched systems(DPISS). Firstly, the positive observer and nonfragile positive observer are designed to estimate the actual state of the underlying systems, respectively. Secondly, by using the average dwell time(ADT) approach and multiple linear co-positive Lyapunov function (MLCLF), two guaranteed cost finite-time controller are designed and sufficient conditions are obtained to guarantee the corresponding closed-loop systems are guaranteed cost finite-time stability(GCFTS). Such conditions can be solved by linear programming. Finally, a numerical example is provided to show the effectiveness of the proposed method.

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Asynchronously Input-output Finite-time Control of Positive Impulsive Switched Systems

International Journal of Control Automation and Systems ◽

10.1007/s12555-019-0322-z ◽

2020 ◽

Vol 18 (7) ◽

pp. 1751-1757 ◽

Cited By ~ 1

Author(s):

Leipo Liu ◽

Hao Xing ◽

Yifan Di ◽

Zhumu Fu ◽

Shuzhong Song

Keyword(s):

Finite Time ◽

Switched Systems ◽

Input Output ◽

Time Control ◽

Impulsive Switched Systems

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Guaranteed Cost Finite-Time Control of Discrete-Time Positive Impulsive Switched Systems

Complexity ◽

10.1155/2018/5790681 ◽

2018 ◽

Vol 2018 ◽

pp. 1-8

Author(s):

Leipo Liu ◽

Hao Xing ◽

Xiangyang Cao ◽

Zhumu Fu ◽

Shuzhong Song

Keyword(s):

Discrete Time ◽

Finite Time ◽

Switched Systems ◽

Sufficient Conditions ◽

Average Dwell Time ◽

Time Control ◽

Guaranteed Cost ◽

Impulsive Switched Systems ◽

Finite Time Boundedness ◽

Definition Of

This paper considers the guaranteed cost finite-time boundedness of discrete-time positive impulsive switched systems. Firstly, the definition of guaranteed cost finite-time boundedness is introduced. By using the multiple linear copositive Lyapunov function (MLCLF) and average dwell time (ADT) approach, a state feedback controller is designed and sufficient conditions are obtained to guarantee that the corresponding closed-loop system is guaranteed cost finite-time boundedness (GCFTB). Such conditions can be solved by linear programming. Finally, a numerical example is provided to show the effectiveness of the proposed method.

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