Event-Triggered Control for Markov Jump Systems Subject to Mismatched Modes and Strict Dissipativity

Self Cite

To tackle the trajectory tracking issue of nonlinear systems with unknown dynamics and input/output (I/O) constraints, a novel model-free adaptive constrained control (MFACC) scheme is first proposed with improvement of tracking precision and reduction of computation cost. The system model is processed via the compact form dynamic linearization approach. Then, an event-triggered observer-based pseudo partial derivative (PPD) estimation algorithm is proposed to implement the data-driven modeling information, which relieves the computation burden of modeling. Relying on the reconfigured data model, an improved prescribed performance control (PPC) approach with asymmetric predefined boundaries and the fractional order sliding mode control strategy are both exploited and integrated with MFACC for high-precision and robustness assurance. Moreover, a novel prescribed-boundary-based event-triggered mechanism is proposed to implement MFACC scheme so that the remarkable balance between tracking precision and computation cost can be maintained, and the I/O constraints can be handled via the proposed PPD-based anti-windup compensator and PPC technique. Finally, the stability analysis and contrast simulation are pursued which verifies the validity of proposed scheme.

Section: Model-free Adaptive Fractional Order Controller Designmentioning

confidence: 99%

Section: Model-free Adaptive Fractional Order Controller Designmentioning

confidence: 99%

Event‐triggered model‐free adaptive fractional order sliding mode I/O constrained control for a class of nonlinear systems

Zhang

Jiang

et al. 2023

Self Cite

“…Traditionally, the Markov jump systems (MJSs) are applied to model and characterize physical plants with abrupt structure changes. Hence, they find wide applications such as power‐electronic systems, biological systems, multi‐agent systems, and other aspects (see for example, References 1‐5). For MJSs, the mode sojourn time of each mode obeys an exponential distribution that is the only one with memoryless property in all continuous‐time probability distributions.…”

Section: Introductionmentioning

confidence: 99%

Finite‐time stochastic dissipative output tracking control of semi‐Markov jump systems via an adaptive event‐triggered mechanism

Shi

2023

Self Cite

This work focuses on the output tracking control for a class of continuous-time semi-Markov jump systems (SMJSs). In the controller design, not only the finite-time stochastic boundedness (FTSB), but also the dissipative performance over a finite-time interval is considered. In order to save communication resources, a version of adaptive event-triggered mechanism (AETM) is utilized. Different from the traditional static event-triggered mechanism, the threshold coefficient in AETM is time-varying and can be adjusted in real-time to fit the system evolution. Moreover, the asynchronous switching between the controller modes and the plant modes is taken into account. The design objective is to synthesis an adaptive event-triggered asynchronous state-feedback controller such that not only the augmented closed-loop system is FTSB with a certain level of dissipative performance, but also the communication burden can be reduced to some extent. It is the first attempt to investigate the output tracking control of SMJSs over a finite-time interval. By constructing a plant model-dependent Lyapunov function, a set of conditions is derived for the FTSB analysis, based on which a controller design algorithm is presented. Finally, an illustrative example is given to verify the availability of the theoretical findings.

“…The hybrid‐triggered controller design for fuzzy MJSs with input saturation has been given in Reference 9. In Reference 10, using an event‐triggered scheme (ETS), the analysis of MJSs subject to mismatched modes and strict dissipativity has been presented. Considering incomplete transition probability and unreliable links, the asynchronous

{H}_{\infty }

controller has been designed for discrete‐time MJSs in Reference 11.…”

Section: Introductionmentioning

confidence: 99%

Resilient and event‐triggered control of stochastic jump systems under deception and denial of service attacks

Chai

Shi

et al. 2022

Self Cite

This article investigates the resilient and event‐triggered control problem of stochastic jump systems subject to randomly occurring denial of service (DoS) attacks and deception attacks. First, a novel resilient and memory event‐triggered scheme (RMETS) is proposed. The influence caused by DoS attacks is characterized as an uncertainty of the triggering condition. Under the RMETS, the desired security performance of the system and limited network resources can be well balanced while stochastic deception and DoS attacks occur. Second, by using the Lyapunov theory and the linear matrix inequality method, the resilient controller and the proposed RMETS are co‐designed. Sufficient conditions are established to ensure the security performance under the two types of attacks. Finally, numerical and practical examples are rendered to illustrate the effectiveness of the developed approach.