Asynchronously Switched Research Articles

Practical Consensus Tracking of Asynchronously Switched Multiagent Systems

Practical Consensus Tracking of Asynchronously Switched Multiagent Systems

Asynchronous time dependent switched model predictive control for nonlinear systems considering feasibility constraints

AbstractThis paper presents a model predictive control for nonlinear asynchronous switched systems, aiming to achieve H∞ performance and addressing feasibility issues. The method proposed guarantees the recursive feasibility of each sub‐system after switching moments in the presence of exogenous disturbances and unknown matched and mismatched time intervals due to asynchronous switching. The boundaries of the feasibility region for each sub‐system are determined in order to impose constraints on decision parameters and switching signals. These constraints aim to maximize the mentioned region while ensuring stability. Additionally, by identifying the common region of feasibility among different sub‐systems, conditions are established for initializing the sub‐systems at the switching moments to ensure that the system states remain within this feasibility region even under the worst switching scenario. Therefore, by ensuring the initial feasibility at the switching moments and demonstrating recursive feasibility, the overall feasibility of the developed MPC is guaranteed at all times. The benefits of the proposed approach are thoroughly investigated through the simulation of a chemical system. The results demonstrate the effectiveness of the proposed method.

Novel Stability Criteria of Asynchronously Switched Nonlinear Neutral Time-Delay Systems.

This article investigates the input-to-state stability and integral input-to-state stability for the switched nonlinear neutral systems (SNNSs) with multiple time-varying delays (MTVDs) and asynchronous switching. According to the fact that the switching signals of the controllers and the subsystems are inconsistent, novel stability criteria on the input-to-state stability and integral input-to-state stability properties for SNNSs with MTVDs and the asynchronous switching phenomenon are presented by multiple Lyapunov-Krasovskii functionals, the merging switching signal, and the mode-dependent average dwell time technique. Compared with the existing related works, our results are less conservative. Meanwhile, our proposed works not only investigate the effects of switches and neutral terms on the stability property for SNNSs but also study the case of the systems with MTVDs and asynchronous switching. Finally, two practical examples, including the practical coupled mass-spring-damper-pendulum system, are presented to show the effectiveness of our results.

Dwell-Time-Based Robust Stabilization and L₂–Gain Analysis for Asynchronously Switched Linear Systems With Actuator Saturation

Dwell-Time-Based Robust Stabilization and <i>L</i>₂–Gain Analysis for Asynchronously Switched Linear Systems With Actuator Saturation

Relaxed Stability and Non-weighted $$L_2$$-Gain Analysis for Asynchronously Switched Polynomial Fuzzy Systems

AbstractThis paper concerns the stability and non-weighted $$L_2$$ L 2 -gain analysis issues for the switched systems subject to asynchronous switching and external disturbance. By taking full advantage of the admissible edge-dependent average dwell time (AED-ADT) switching signal, a stability criterion of asynchronously switched systems is proposed to achieve a lower non-weighted $$L_2$$ L 2 -gain index than the existing results. Furthermore, the dynamics of switched systems are described by using the polynomial fuzzy model instead of the T-S fuzzy model, which can represent a wider range of nonlinear plants. For such asynchronously switched polynomial fuzzy systems, the relaxed conditions are derived through the membership-function-dependent (MFD) technique and novel high-order multiple Lyapunov functions (MLFs) construction method to guarantee less conservative stability and non-weighted $$L_2$$ L 2 -gain results. Finally, the superiority of the proposed approaches are verified through two simulation examples.

Event‐triggered output quantization control for asynchronously switched interval type‐2 fuzzy systems

AbstractThis article considers exponential stabilization (ES) of switched interval type‐2 (SIT2) fuzzy systems with asynchronous switching control. The SIT2 fuzzy system switches from one mode to another according to transition probabilities (TPs). A general SIT2 fuzzy quantized event‐triggered output controller (QETOC) is designed to save the communication resources. The QETOC employs distinctive membership functions from those of the IT2 fuzzy model and switches with mode‐pendent switching delay, which is more practical than asynchronously switched control techniques with a common switching delay and control schemes without TP. By designing discretized multiple Lyapunov function (DMLF) and using convex combination technique, sufficient conditions formulated by linear matrix inequalities (LMIs) are obtained to ensure that the DMLF does not ‘jump high’ at the moment of switching, and hence the conservatism of obtained results is significantly reduced since no additional dwell time is needed for the stabilization. It is discovered that the SIT2 fuzzy system is not necessary to be unstable on mismatched intervals, and it can be unstable on matched intervals. The advantages of theoretical analysis are verified by numerical simulations, and the classical assumption that each subsystem is unstable on mismatched intervals is conservative for control design.

Interpolated Bumpless Transfer Control for Asynchronously Switched Linear Systems

Interpolated Bumpless Transfer Control for Asynchronously Switched Linear Systems

Model predictive control for asynchronously switched linear systems with mode-dependent dwell time

This paper presents a model predictive control (MPC) approach for a class of asynchronously switched linear systems with mode-dependent dwell time (MDT). Asynchronous switching which refers to the mismatch between system modes and desired mode-dependent controllers may result in infeasibility of the conventional switched MPC design or even make the closed-loop system unstable. To handle this problem, the concept of stage MDT is employed and its minimum admissible value is determined offline so as to ensure the reachable set of a starting region is included in a target region. Then, we compute a constraint admissible contractive asynchronous switching MDT invariant (AMI) set as the common terminal constraints for all the switching modes and find out an important property: The existence of such an AMI set is equivalent to the asymptotic stability of the asynchronously switched closed-loop system. By letting the reachable set be contained in the AMI set, we present two criteria to determine the minimum admissible stage MDT offline such that the closed-loop system is asymptotically stable. Finally, a numerical example is given to verify the theoretical results.

Robust Model Predictive Control for Asynchronously Switched Linear Systems with Intermittent Controller Failures

Robust Model Predictive Control for Asynchronously Switched Linear Systems with Intermittent Controller Failures

Reachability-Guaranteed Sliding Mode Control for Asynchronously Switched Uncertain Systems

Reachability-Guaranteed Sliding Mode Control for Asynchronously Switched Uncertain Systems

Fault Detectability of Asynchronous Switched Boolean Networks: A Set Reachability Approach.

This article addresses the fault detectability problem of asynchronous switched Boolean networks, which is focused on whether occurrence of the faults would have an impact on the outputs of the considered network. By applying the semi-tensor product method, the asynchronous switching scheme of the considered system is converted into multiple switching signals. Based on them, an augmented system is established to transform the fault detectability issue of the original system into a set reachability problem. Moreover, some criteria for the fault detectability of the asynchronous switched Boolean control networks are also proposed. Additionally, two algorithms are given to design feasible control sequences after explicitly analyzing the considered augmented system. Finally, an example is provided to illustrate the significance of the obtained theoretical results.

Finite-Time State Zonotopes Design for Asynchronously Switched Systems With Application to a Switched Converter

Finite-Time State Zonotopes Design for Asynchronously Switched Systems With Application to a Switched Converter

Asynchronously switched fault detection filter design for full-envelope flight vehicle

The fault detection problem of a class of full-envelope flight vehicles with time delays and packet losses is investigated. Their model is established as locally overlapped switched systems to reduce conservatism. The delays and the packet losses are transformed into the parameters of polytopic systems. The switched parameter-dependent fault detection filter (FDF) is then designed. The fault detection system stability and its [Formula: see text] performance under asynchronous switching with average dwell time are analyzed. Moreover, a parity-space–based optimization approach is presented to guarantee that the modified residual signal is sensitive to fault but robust to disturbance. An example of applying this method to the highly maneuverable technology vehicle is given to verify the method’s effectiveness.

Finite-time Output Feedback Control for Discrete Asynchronous Switched Systems with Saturation Nonlinearities

Finite-time Output Feedback Control for Discrete Asynchronous Switched Systems with Saturation Nonlinearities

Dynamic Output Feedback Control for Asynchronous Switched Systems in Network Environments Subject to Deception Attack

Dynamic Output Feedback Control for Asynchronous Switched Systems in Network Environments Subject to Deception Attack

Event-Triggered iterative learning control for asynchronously switched systems

Iterative learning control (ILC) is an effective control strategy for complex systems that uses trial and error to obtain desired output trajectories. This paper focuses on the issue of event-triggered ILC for switched systems with asynchronous switching. An event-triggered ILC method is designed to reduce unnecessary controller updates during iterations. The main technical contribution is that the analysis and synthesis are performed in both time and iteration domains. First, in order to solve the asynchronous switching problem in the time direction and the update problem in the iteration direction, a Lyapunov function involving both directions is adopted. Second, to prove the convergence of tracking error and the system stability in both domains, a new prove method is proposed, in which the tracking error is summed over the entire time domain and the average dwell condition is summed over the entire iteration domain. Finally, the feasibility of theoretical result is verified by simulation.

Stabilization analysis of Markovian asynchronous switched systems with input delay and Lévy noise

The almost sure exponential stabilization and pth moment exponential stabilization for hybrid stochastic system (HSS) with control input delay, Lévy noise and asynchronous switching will be studied in this paper. Adequate conditions will be built to ensure the pth moment stability for the HSS which refer to the sizes of the delays by taking full advantage of Lyapunov functional approach. We investigate the almost sure exponential stability standard of nominal systems by using compound Lyapunov function method with modal dependence. In addition, we further study the almost sure exponential stability for HSS with Lévy noise and delayed feedback controller according to the comparison principle for sufficiently small delays as long as the nominal system is almost surely exponentially stable. An example and some simulations will propose to illustrate the results.

Finite-time stabilization of switched nonlinear singular systems with asynchronous switching

This paper is concerned with the finite-time stabilization of a class of switched nonlinear singular systems under asynchronous control. Asynchronism here refers to the delays in switching between the controller and the subsystem. First, the dynamic decomposition technique is used to prove that such a switched singular system is regular and impulse-free. Secondly, based on the state solutions of the closed-loop system in the matched time period and the mismatched time period of the system instead of constructing a Lyapunov function, the sufficient conditions for the finite-time stability of the asynchronous switched singular system are given, there is no limit to the stability of subsystems. Then, the mode-dependent state feedback controller that makes the original system stable is derived in the form of strict linear matrix inequalities. Finally, numerical examples are given to verify the feasibility and validity of the results.

Robust smooth transfer for tilt-rotor aircraft under the asynchronous switching

To achieve the flight mode transfer of the tilt-rotor aircraft, this paper develops a smooth switching method for an weighted L2 robust asynchronously switched system. Considering the asynchronous phenomenon that exists in the switching control of the tilt-rotor aircraft, first, a sufficient condition for the existence of the sub-controller is derived, which guarantees the exponential stability and weighted L2 performance. Besides, the on-line system and the off-line system are separately employed to realize the continuity of the control input signals, which further improve the transient performance and smoothness of the asynchronously switched system. The simulations on the tilt-rotor aircraft verify the effectiveness and applicability of the proposed method.

A note on stability and control of sampled-data asynchronous switched systems

High-performance control of switched systems is needed in various applications involving sampled state variables and discrete control signals. However, asynchronous switching phenomenon existing in sampled-data switched systems may introduce undesired response characteristics and even instability. After demonstrating such unfavorable effects, the conditions to check the stability in these systems are provided in this study. Then the control design problem is considered, and an optimal controller design procedure for assorted performance measures is presented for a class of sampled-data switched systems. The performance of the controller is validated through numerical simulations. The proposed control structure is viable in many different applications containing switching phenomena with a discrete control structure.