Synthesis of Polynomial Fuzzy Model-Based Designs with Synchronization and Secure Communications for Chaos Systems with H∞ Performance

Yu, Gwo-Ruey; Chang, Yi‐Ping; Chang, Chih-Heng

doi:10.3390/pr9112088

Cited by 2 publications

(3 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…it is obvious that inequality (39) is the same as inequality (33). Then, the closed-loop system ( 9) is exponentially stable in mean square with H ∞ performance (11).…”

Section: Parameter Design Of Observer and Pid Controllermentioning

confidence: 98%

“…Depending on Theorem 1, Theorem 2 provides a way to solve the PID controller parameters. That is, by computing a feasible solution to the matrix inequality (33) via the YALMIP toolbox of MATLAB software, the gain parameters of the observer (5) and the controller ( 6) are obtained directly. All the system parameters are reflected in Theorem 2 such as the occurring probability of periodic random DoS jamming attacks, the threshold determining the triggering frequency, the parameter in the constraint condition of infinitely distributed delays, and the disturbance rejection level.…”

Section: Parameter Design Of Observer and Pid Controllermentioning

confidence: 99%

“…Periodic random DoS jamming attacks exist in actual industrial cyber-physical systems such as an uninterruptible power supply and smart grid with a 4-bus model of the distribution test feeders. Considering its importance in ensuring the reliable operation of systems, security-guaranteed control or estimation issue has gained much attention from researchers [32][33][34]. In particular, owing to the normal working demand, there is an urgent need to design PID controller tolerating periodic random DoS jamming attacks from the viewpoint of defenders, which constitutes the research motivation of this paper.…”

Section: Introduction 1engineering Background Research Status and Mot...mentioning

confidence: 99%

See 2 more Smart Citations

Security-Guaranteed PID Control for Discrete-Time Systems Subject to Periodic Dos Attacks

et al. 2023

View full text Add to dashboard Cite

This paper is concerned with the observer-based H∞ proportional-integral-derivative (PID) control issue for discrete-time systems using event-triggered mechanism subject to periodic random denial of service (DoS) jamming attacks and infinitely distributed delays. In order to characterize the occurrence of periodic random DoS jamming attacks in the network channel between controller and actuator, the Kronecker delta function is used to represent the periodic switching between the sleeping period and attack period, and a Bernoulli-distributed random variable is utilized to reflect the probabilistic occurrence of DoS attacks. Infinitely distributed delay is involved to reflect actual state lag. The relative event-triggering mechanism is employed to reduce unnecessary information transmission and save communication energy in the network channel between sensor and observer. An observer-based PID controller is constructed for the regulation of the system to achieve an appropriate working effect. The aim of this paper is to design a security-guaranteed PID controller for delayed systems such that both the exponential mean-square stability and the H∞ performance are satisfied. Using the Lyapunov stability theory, stochastic analysis method and matrix inequality technique, a sufficient condition is put forward that ensures the existence of the required observer and PID controller. Gain parameters of the observer and the PID controller are computed by solving a certain matrix inequality. A simulation is carried out to verify the effectiveness of the developed observer-based H∞ PID control method. The obtained H∞ noise rejection level is below 0.85, the average event-based release interval is 13, the absolute values of the maximum estimation error of two elements in the system state are 1.434 and 0.371 using the observer, and two elements of the system state converge to 0.238 and −0.054 at the 41th time step with two elements of the control output being 0.031 and 0.087.

show abstract

“…it is obvious that inequality (39) is the same as inequality (33). Then, the closed-loop system ( 9) is exponentially stable in mean square with H ∞ performance (11).…”

Section: Parameter Design Of Observer and Pid Controllermentioning

confidence: 98%

Section: Parameter Design Of Observer and Pid Controllermentioning

confidence: 99%

Section: Introduction 1engineering Background Research Status and Mot...mentioning

confidence: 99%

See 1 more Smart Citation

Security-Guaranteed PID Control for Discrete-Time Systems Subject to Periodic Dos Attacks

et al. 2023

View full text Add to dashboard Cite

show abstract

Optimal type-3 fuzzy control and analysis of complicated financial systems

Tian²,

Kausar

et al. 2023

IFS

View full text Add to dashboard Cite

The financial systems have complicated dynamics and are perturbed by various uncertainties and disturbances. Chaos theory provides a practical approach to analyzing financial systems. The chaotic systems have unpredictable random characteristics that help to analyze the financial systems better. Recently, type-3 (T3) fuzzy logic systems (FLSs) have been developed for high-uncertain systems. T3-FLSs provide a reliable tool to cope with high-noisy environments. In T3-FLSs, the upper/lower bounds of uncertainties are fuzzy values. This property results in a strong tool to model more levels of uncertainties. Control, modeling, and forecasting accuracy in financial systems are so important. Then, better systems with higher accuracy are required. In this paper, a new T3-FLS based controller is introduced for chaotic financial systems. By solving a Riccati equation, sufficient conditions are concluded for optimality and robustness. T3-FLSs are learned to minimize the error and stabilize the whole system. A new optimal learning rules are extracted for T3-FLSs. Various benchmark chaotic model of financial systems are considered for examining the efficacy of the introduced approach, and the excellent response and superiority of the suggested approach is verified. Also, a comparison with other methods demonstrates the better efficiency of the suggested scheme.

show abstract

Synthesis of Polynomial Fuzzy Model-Based Designs with Synchronization and Secure Communications for Chaos Systems with H∞ Performance

Cited by 2 publications

References 20 publications

Security-Guaranteed PID Control for Discrete-Time Systems Subject to Periodic Dos Attacks

Security-Guaranteed PID Control for Discrete-Time Systems Subject to Periodic Dos Attacks

Optimal type-3 fuzzy control and analysis of complicated financial systems

Contact Info

Product

Resources

About