scholarly journals State Tracking of MRAC Systems in the Presence of Controller Temporary Failure Based on a Switching Method

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Caiyun Wu ◽  
Jun Zhao
Keyword(s):  
Adaptive Control ◽  
Switched Systems ◽  
Sufficient Conditions ◽  
Practical Stability ◽  
Tracking Problem ◽  
Failure Frequency ◽  
Error System ◽  
State Tracking ◽  
Switching Method ◽  
Model Reference Adaptive

The state tracking problem for a class of model reference adaptive control (MRAC) systems in the presence of controller temporary failures is studied. Due to the controller temporary failure, the considered system is viewed as an error switched system. The properties of Lyapunov function candidates without switching are described. Then the notion of global practical stability of switched systems is presented, and sufficient conditions for global practical stability of the error system under the restrictions of controller failure frequency and unavailability rate are provided. An example is presented to demonstrate the feasibility and effectiveness of the proposed method.

scholarly journals Preview Tracking Control of Linear Periodic Switched Systems with Dwell Time

2020 ◽  
Vol 2020 ◽  
pp. 1-9
Author(s):  
Fucheng Liao ◽  
Lijie Cui ◽  
Yanrong Lu ◽  
Jiamei Deng
Keyword(s):  
Switched Systems ◽  
Tracking Control ◽  
Dwell Time ◽  
Closed Loop ◽  
Design Method ◽  
Sufficient Conditions ◽  
Control Input ◽  
Tracking Problem ◽  
Preview Control ◽  
Error System

This paper studies the preview tracking control problem for linear discrete-time periodic switched systems. Firstly, an augmented error system is constructed for each subsystem by stabilizing the augmented error systems through the method of optimal preview control, and the tracking problem of the switched system is transformed into the switched stability problem of closed-loop augmented error systems. Secondly, a switched Lyapunov function method is applied to search the minimal dwell time satisfying the switched stability of the closed-loop augmented error systems. Thirdly, the switched preview control input is solved from the controller of the individual augmented error system, and then the sufficient conditions and the preview controller can be obtained to guarantee the solvability of the original periodic switched preview tracking problem. Finally, numerical simulations show the effectiveness of the stabilization design method.

Positive impulsive observer design of fractional-order positive switched systems with mode-dependent average dwell time

2018 ◽  
Vol 41 (5) ◽  
pp. 1340-1347 ◽  
Author(s):  
Leipo Liu ◽  
Xiangyang Cao ◽  
Zhumu Fu ◽  
Shuzhong Song ◽  
Hao Xing
Keyword(s):  
Linear Programming ◽  
Fractional Order ◽  
Switched Systems ◽  
Dwell Time ◽  
Sufficient Conditions ◽  
Average Dwell Time ◽  
Observer Design ◽  
Exponentially Stable ◽  
Error System ◽  
Positive Switched Systems

This paper investigates the positive impulsive observer design of fractional-order positive switched systems with mode-dependent average dwell time (MDADT). By using the MDADT approach and the Lyapunov–Krasovskii functional technique, sufficient conditions are obtained to ensure the error system is globally exponentially stable. An algorithm is proposed to design the observer gain matrices via linear programming. Finally, two examples are provided to illustrate the effectiveness of the proposed method.

scholarly journals Stabilization of a Class of Continuous-Time Switched Systems with State Constraints via a Mode-Dependent Switching Method

2015 ◽  
Vol 2015 ◽  
pp. 1-7 ◽  
Author(s):  
Qingyu Su ◽  
Peipei Wang
Keyword(s):  
Continuous Time ◽  
Switched Systems ◽  
Dwell Time ◽  
State Constraints ◽  
Sufficient Conditions ◽  
Average Dwell Time ◽  
Decay Rates ◽  
Average Dwell Time Method ◽  
The Stability ◽  
Switching Method

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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