Adaptive Neural State-Feedback Tracking Control of Stochastic Nonlinear Switched Systems: An Average Dwell-Time Method

2019 ◽  
Vol 30 (4) ◽  
pp. 1076-1087 ◽  
Author(s):  
Ben Niu ◽  
Ding Wang ◽  
Naif D. Alotaibi ◽  
Fuad E. Alsaadi
Keyword(s):  
Switched Systems ◽  
Tracking Control ◽  
Dwell Time ◽  
State Feedback ◽  
Average Dwell Time ◽  
Nonlinear Switched Systems ◽  
Average Dwell Time Method ◽  
Feedback Tracking

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.

Robust adaptive state estimation for uncertain nonlinear switched systems with unknown inputs

2016 ◽  
Vol 40 (4) ◽  
pp. 1082-1091 ◽  
Author(s):  
Junqi Yang ◽  
Yantao Chen ◽  
Zheng Zheng ◽  
Wei Qian
Keyword(s):  
State Estimation ◽  
Switched Systems ◽  
Dwell Time ◽  
Sliding Mode ◽  
Lipschitz Constant ◽  
Sufficient Conditions ◽  
Average Dwell Time ◽  
Linear Matrix ◽  
Nonlinear Switched Systems ◽  
Continuous State

This paper discusses the issue of the continuous state estimation for a class of uncertain nonlinear switched systems under the two cases of both average dwell time and mode-dependent average dwell time. A robust and adaptive switched observer is developed such that the states of an original nonlinear switched system can be asymptotically estimated, where the Lipschitz constant of the nonlinear term may be unknown since the designed adaptation law can adaptively adjust it. Based on the feasible solution of an optimization problem with a linear matrix inequality constraint, the observer gain matrices are obtained and guarantee the existence of a robust switched observer. Meanwhile, the switching signals are designed such that the observer error dynamics is globally uniformly exponentially stable, and the sufficient conditions of the existence of a robust sliding-mode switched observer are derived. Finally, the effectiveness of the proposed approaches is illustrated by a numerical example and switched Rössler chaotic dynamics.

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