Optimal H∞$$ {\mathcal{H}}_{\infty } $$ Problem and Application to Controlled Asymptotic Filtering: Optimal \(\mathcal{H}_\infty\) problem and application to controlled asymptotic filtering

Authors: Jovan Stefanovski

Source: International Journal of Robust and Nonlinear Control. 35:3208-3221

Subject Terms: one-sided \(\mathcal{H}_{\infty}\)-problem, \(H^\infty\)-control, control design, fault monitoring, robustness, filtering, Filtering in stochastic control theory, control applications

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H∞$$ {H}_{\infty } $$ Synchronization of Semi‐Markovian Switching Complex‐Valued Networks With Time‐Varying Delay: A Delay‐Dependent Event‐Triggered Mechanism: \(H_\infty\) synchronization of semi-Markovian switching complex-valued networks with time-varying delay: a delay-dependent event-triggered mechanism

Authors: Qiang Li, Hanqing Wei, Weiqiang Gong, Jinling Wang

Source: International Journal of Robust and Nonlinear Control. 35:1539-1556

Subject Terms: Asymptotic stability in control theory, 0209 industrial biotechnology, \(H_\infty\) synchronization, delay-dependent event-triggered scheme, \(H^\infty\)-control, Networked control, 0202 electrical engineering, electronic engineering, information engineering, Delay control/observation systems, 02 engineering and technology, Stochastic stability in control theory, complex-valued networks, Discrete event control/observation systems, semi-Markovian switching

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Access URL: https://zbmath.org/8016743
https://doi.org/10.1002/rnc.7739

Event-Triggered Control for Roesser Model-Based 2D Markov Jump Systems Under Stochastic Communication Protocol: Event-triggered control for Roesser model-based 2D Markov jump systems under stochastic communication protocol

Authors: Yu Zhang, Yuxiang Ji, Taiping Jiang, Jianping Zhou

Source: Circuits, Systems, and Signal Processing. 43:6953-6976

Subject Terms: two-dimensional system, Adaptive control/observation systems, \(H^\infty\)-control, Stochastic systems in control theory (general), Markov jump system, Roesser model, Feedback control, communication protocol, event-triggered control

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Access URL: https://zbmath.org/8006423
https://doi.org/10.1007/s00034-024-02784-1

H∞ attenuation of disturbance switching over multiple frequency ranges: \(H_\infty\) attenuation of disturbance switching over multiple frequency ranges

Authors: Chenxiao Cai, Xiaoqi Song, Jason J. R. Liu, Peng Cheng, James Lam

Source: International Journal of Robust and Nonlinear Control. 34:7520-7546

Subject Terms: 0209 industrial biotechnology, Perturbations in control/observation systems, generalized Kalman-Yakubovich-Popov lemma, switched system, \(H^\infty\)-control, disturbance attenuation, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, Frequency-response methods in control theory, \(H_{\infty}\) control, average dwell time

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$$H^\infty $$-Optimal Control via Game-Theoretic Differential Dynamic Programming and Gaussian Processes: \(H^\infty \)-optimal control via game-theoretic differential dynamic programming and Gaussian processes

Authors: Wei Sun, Theodore B. Trafalis

Source: Journal of Optimization Theory and Applications. 204

Subject Terms: Calculus of variations and optimal control, optimization, differential dynamic programming, Mathematical programming, differential game, \(H^\infty\) control, Gaussian process

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Unified finite‐time fault estimation and fault‐tolerant control for Takagi–Sugeno fuzzy singular systems: Unified finite-time fault estimation and fault-tolerant control for Takagi-Sugeno fuzzy singular systems

Authors: N. Keerthana, R. Sakthivel, N. Aravinth, S. Marshal Anthoni

Source: International Journal of Adaptive Control and Signal Processing. 38:1812-1828

Subject Terms: 0209 industrial biotechnology, Fuzzy control/observation systems, Takagi-Sugeno fuzzy singular systems, Finite-time stability, finite-time boundedness, \(H^\infty\)-control, 0202 electrical engineering, electronic engineering, information engineering, proportional integral-based fault estimation, 02 engineering and technology, fault-tolerant control, external disturbances

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Access URL: https://zbmath.org/7957393
https://doi.org/10.1002/acs.3781

Resilient and finite‐time H∞$$ {H}_{\infty } $$ control of semi‐Markov jump systems with both upper and lower thresholds of sojourn time: Resilient and finite-time \(H_{\infty}\) control of semi-Markov jump systems with both upper and lower thresholds of sojourn time

Authors: Pan, Shiyao, Xie, Xiangpeng, Zhu, Yanzheng, Chadli, Mohammed

Contributors: Davesne, Frédéric

Source: International Journal of Robust and Nonlinear Control. 34:5605-5623

Subject Terms: semi-Markov jump systems (SMJSs), [SPI.AUTO] Engineering Sciences [physics]/Automatic, incomplete semi-Markov kernel (SMK), finite-time \(H_{\infty}\) control synthesis, Finite-time stability, \(H^\infty\)-control, upper and lower thresholds of sojourn time, Stochastic stability in control theory, resilient, finite-time H∞ control synthesis

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Access URL: https://zbmath.org/7854861
https://doi.org/10.1002/rnc.7284

Relaxed Policy Iteration Algorithm for Nonlinear Zero-Sum Games With Application to H-Infinity Control: Relaxed policy iteration algorithm for nonlinear zero-sum games with application to H-infinity control

Authors: Jie Li, Shengbo Eben Li, Jingliang Duan, Yao Lyu, Wenjun Zou, Yang Guan, Yuming Yin

Source: IEEE Transactions on Automatic Control. 69:426-433

Subject Terms: Noncooperative games, Iterative learning control, \(H^\infty\)-control

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Parallel adaptive event-triggered asynchronous control for two-time-scale fuzzy semi-Markov jump systems under deception attacks

Authors: Jianan Zhang, Yuechao Ma, Yanan Xu, Lei Fu

Source: Journal of the Franklin Institute. 360:12941-12968

Subject Terms: parallel adaptive event-triggered asynchronous control, Adaptive control/observation systems, Fuzzy control/observation systems, fuzzy semi-Markov jump systems, \(H^\infty\)-control, Stochastic stability in control theory, Discrete event control/observation systems, Exponential stability, exponential stability with \(H_\infty\) performance

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Access URL: https://zbmath.org/7789978
https://doi.org/10.1016/j.jfranklin.2023.09.057

Self-triggered distributed filtering for sensor networks with topology switching via a multi-step ahead approach

Authors: Huiwen Xue, Jiwei Wen, Xiaoli Luan, Akshya Kumar Swain, Fei Liu

Source: Journal of the Franklin Institute. 360:12339-12357

Subject Terms: Networked control, \(H^\infty\)-control, Filtering in stochastic control theory

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Access URL: https://zbmath.org/7757367
https://doi.org/10.1016/j.jfranklin.2023.09.045

Asynchronous Hybrid $$H_\infty $$ Filtering for Uncertain Impulsive Switched Systems: Asynchronous hybrid \(H_\infty\) filtering for uncertain impulsive switched systems

Authors: Yufei Zhu, Xinya Mao, Qunxian Zheng

Source: Circuits, Systems, and Signal Processing. 43:1392-1413

Subject Terms: impulsive switched systems, multiple state impulsive jumps, \(H^\infty\)-control, robust \(H_\infty\) filtering, Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems), Impulsive control/observation systems, hybrid filtering, average dwell time, Filtering in stochastic control theory

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Access URL: https://zbmath.org/8006189
https://doi.org/10.1007/s00034-023-02533-w

Hybrid reliability-based sequential optimization for PID vibratory controller design considering interval and fuzzy mixed uncertainties

Authors: Liu, Jiaxiang, Wang, Lei

Source: Applied Mathematical Modelling. 122:796-823

Subject Terms: Design techniques (robust design, computer-aided design, etc.), Linear systems in control theory, hybrid uncertainties, \(H^\infty\)-control, reliable controller design, sequential optimization, Fuzzy and other nonstochastic uncertainty mathematical programming, adaptive fitting method, subinterval collocation method, PID vibratory control

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Security‐based fault detection filtering design for fuzzy singular semi‐Markovian jump systems via improved dynamic event‐triggering and quantization protocols: Security-based fault detection filtering design for fuzzy singular semi-Markovian jump systems via improved dynamic event-triggering and quantization protocols

Authors: Linghuan Kong, Mengzhuo Luo, Jun Cheng, Iyad Katib, Kaibo Shi, Shouming Zhong

Source: International Journal of Adaptive Control and Signal Processing. 38:39-75

Subject Terms: multi-cyber-attacks, 0209 industrial biotechnology, Fuzzy control/observation systems, dynamic event-triggering protocol, \(H^\infty\)-control, discrete-time fuzzy singular semi-Markovian jump systems, 0202 electrical engineering, electronic engineering, information engineering, Stochastic systems in control theory (general), 02 engineering and technology, dynamic quantization, fault detection, Filtering in stochastic control theory

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Quantized H∞$$ {H}_{\infty } $$ output feedback control for uncertain impulsive switched systems via a hybrid control approach: Quantized \(H_\infty\) output feedback control for uncertain impulsive switched systems via a hybrid control approach

Authors: Xinya Mao, Yufei Zhu, Qunxian Zheng

Source: International Journal of Adaptive Control and Signal Processing. 37:3008-3025

Subject Terms: 0209 industrial biotechnology, multiple state impulsive jumps, uncertain impulsive switched systems, \(H^\infty\)-control, 0202 electrical engineering, electronic engineering, information engineering, Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems), Nonlinear systems in control theory, Impulsive control/observation systems, 02 engineering and technology, Feedback control, dynamical output feedback control, static quantizations, \(H_\infty\) control

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Access URL: https://zbmath.org/7839284
https://doi.org/10.1002/acs.3670

Distributed extended state observer design and output feedback anti‐disturbance control for nonlinear interconnected systems: A dynamic memory event‐triggered mechanism: Distributed extended state observer design and output feedback anti-disturbance control for nonlinear interconnected systems: a dynamic memory event-triggered mechanism

Authors: Yujie Liu, Haibin Sun, Linlin Hou

Source: Asian Journal of Control. 26:227-245

Subject Terms: sparse observer network, 0209 industrial biotechnology, \(H^\infty\)-control, 02 engineering and technology, Decentralized systems, Feedback control, \(H_{\infty}\) control, Perturbations in control/observation systems, dynamic memory event-triggered mechanism, 0202 electrical engineering, electronic engineering, information engineering, Nonlinear systems in control theory, interconnected systems, distributed extended state observer, Observers

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Further results on the finite-time static output feedback control for nonlinear singular systems

Authors: Meiqing Li, Yu Shao

Source: Journal of the Franklin Institute. 360:7977-7988

Subject Terms: nonlinear singular systems, Finite-time stability, \(H^\infty\)-control, Nonlinear systems in control theory, Feedback control, static output feedback \(H_\infty\) controller, finite-time static output feedback control

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Access URL: https://zbmath.org/7732929
https://doi.org/10.1016/j.jfranklin.2023.06.019

Adaptive cooperation control of wind power generation systems based on Hamilton system under limited input

Authors: Zhongqiang Wu, Lincheng Hou

Source: International Journal of Adaptive Control and Signal Processing. 37:2895-2914

Subject Terms: Hamilton system, \(H^\infty\)-control, 0211 other engineering and technologies, 02 engineering and technology, Feedback control, adaptive control, 7. Clean energy, cooperation control, Adaptive control/observation systems, 0202 electrical engineering, electronic engineering, information engineering, Nonlinear systems in control theory, wind power generation, limited input, Control/observation systems governed by ordinary differential equations

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Mixed $$H_{\infty }$$ and Passivity Performance for Delayed Conformable Fractional-Order Neural Networks: Mixed \(H_\infty\) and passivity performance for delayed conformable fractional-order neural networks

Authors: Nguyen Thi Thanh Huyen, Nguyen Truong Thanh, Nguyen Huu Sau, Tran Nguyen Binh, Mai Viet Thuan

Source: Circuits, Systems, and Signal Processing. 42:5142-5160

Subject Terms: Stability theory of functional-differential equations, time delays, \(H^\infty\)-control, Perturbations of ordinary differential equations, conformable fractional-order neural networks, Delay control/observation systems, Stabilization of systems by feedback, uniform asymptotic stability, mixed \(H_\infty\) and passivity performance

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Access URL: https://zbmath.org/7957459
https://doi.org/10.1007/s00034-023-02358-7

Membership function dependent stabilization of discrete time interval type-2 fuzzy systems with mixed actuator faults

Authors: Wang, Yincai, Ma, Yuechao

Source: Information Sciences. 623:559-576

Subject Terms: 0209 industrial biotechnology, Discrete-time control/observation systems, \(H_\infty\) performance, membership function dependent, actuator faults, Fuzzy control/observation systems, discrete time IT-2 fuzzy system, \(H^\infty\)-control, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology

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Access URL: https://zbmath.org/7838264
https://doi.org/10.1016/j.ins.2022.12.055

Fault‐alarm based hybrid control design for uncertain periodic piecewise time‐varying systems with actuator constraints: Fault-alarm based hybrid control design for uncertain periodic piecewise time-varying systems with actuator constraints

Authors: Sakthivel, Rathinasamy, Satheesh, Thangavel, Harshavarthini, Shanmugam, Chadli, Mohammed, Saat, Shakir

Contributors: Davesne, Frédéric

Source: International Journal of Robust and Nonlinear Control. 33:5710-5733

Subject Terms: Periodic piecewise time-varying systems, \(H^\infty\)-control, periodic piecewise time-varying systems, Delay control/observation systems, hybrid control, Time-varying delay, external disturbances and uncertainties, External disturbances and uncertainties, time-varying delay, [SPI.AUTO] Engineering Sciences [physics]/Automatic, Hybrid control, Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems), Fault alarm technique, fault alarm technique

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Access URL: https://zbmath.org/7804073
https://doi.org/10.1002/rnc.6667
https://hal.science/hal-04070870v1
https://doi.org/10.1002/rnc.6667