Finite‐time H ∞ control of distributed parameter switched systems with event‐triggered scheme

The finite-time command filter tracking control for a class of nonstrictly feedback nonlinear systems with unmodeled dynamics and full-state constraints is investigated in this paper. The hyperbolic tangent function is used as a nonlinear mapping technique to solve the obstacle of the full-state constraints. A new adaptive finite time control method is proposed through command filtering reverse engineering, and the shortcomings of the dynamic surface control (DSC) method are overcome by the error compensation mechanism. Dynamic signal is designed to handle dynamical uncertain terms. Normalization signal is designed to handle input unmodeled dynamics. Unknown nonlinear functions are approximated by radial basis function neural networks. Based on the Lyapunov stability theory, it is proved that all signals in the closed-loop system are semi-globally consistent and finally bounded and the output tracking error converges in finite time. Two numerical examples are utilized to verify the effectiveness of the proposed control approach.

Section: Simulation Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Finite‐time command filter‐based adaptive tracking control for nonstrict feedback nonlinear systems with full‐state restrictions and unmodeled dynamics

Zhu

Huang

Ding

et al. 2023

“…In that the characteristics of the spatial distribution of the DPSs, the control design includes boundary control and intra-domain control (point and distributed) [18], which makes the control problem of DPSs physically attractive and mathematically challenging. In contrast to the distributed intra-domain control strategy [3,19], boundary control is generally regarded as a simple and easy-to-implement control scheme in industrial processes, especially the introduction of the backstepping method as a systematical approach for control of DPSs, which results that boundary control of linear DPSs has been a well-established subject; see Smyshlyaev and Krstic [20] and Tang and Xie [21] and the reference therein. For instance, in Krstic and Smyshlyaev [4,20], by utilizing the backstepping approach, the boundary stabilization of a class of linear DPSs has been solved and in Tang and Xie [21], the same method is used to solve the stabilization problem of a class of coupled systems.…”

Section: Introductionmentioning

confidence: 99%

Boundary Mittag–Leffler stabilization of a class of time fractional‐order nonlinear reaction–diffusion systems

Zhao

Lei

et al. 2023

Boundary control design of a class of time fractional‐order nonlinear reaction–diffusion systems (FNRDSs) is considered in three cases: domain‐averaged measurement, collocated boundary point measurement, and anti‐collocated boundary point measurement. For domain‐averaged measurement and collocated boundary point measurement, boundary controllers are designed directly based on the measurements, respectively. For the anti‐collocated boundary point measurement, to overcome the difficulty that the measurement cannot be used for the controller design directly, an observer is constructed firstly, and then, an observer‐based boundary controller is designed. Sufficient conditions for Mittag–Leffler (M‐L) stability of the closed‐loop system are all provided in terms of linear matrix inequalities (LMIs). Numerical simulation results are provided to illustrate the feasibility and effectiveness of the proposed methods.

“…Though such sampling scheme deals with the theoretical analysis, it usually causes redundant data sending. Considering the limited bandwidth under network transmission, event-triggered mechanism (ETM) is proposed and further developed to design filters and controllers for switched systems [15,16]. With ETM, signals are transmitted only if the event-triggered condition is satisfied, which can effectively reduce resource waste.…”

Section: Introductionmentioning

confidence: 99%

Input‐to‐state practical stability analysis and controller design of switched affine systems: An observer‐based approach

Xie

Zong

Yang

et al. 2022

This paper addresses the problems of the input-to-state practical stability (ISPS) analysis and output feedback controller design for switched affine systems (SASs) subject to external disturbances. First, a switched affine observer is developed to estimate unmeasurable states. Then by combining the sampled-data control approach, a less conservative mode-dependent dynamic event-triggered mechanism (ETM) is established. The proposed dynamic ETM cannot only avoid Zeno behavior but also reduce the network transmission burden effectively. Further, based on time-dependent Lyapunov-Krasovskii functional and state-dependent switching laws, a set of feasible ISPS conditions are presented in the LMI forms by means of singular value decomposition. The designed switching law depends upon the sampled-data information of the estimated state and gets rid of the chattering phenomenon. Finally, an application example of the DC-DC flyback converter is given to verify the efficacy of the proposed algorithm.