Article
Mathematics, Applied
Xiao-Zheng Jin, Yong-Sheng Ma, Wei -Wei Che
Summary: This paper proposes two model-free adaptive control (MFAC) schemes for single-input single-output (SISO) and multi-input multi-output (MIMO) nonlinear systems, respectively, using the linear matrix inequality (LMI) approach. The nonlinear system is transformed into an equivalent linear data model using the dynamic linearization technique, and the tracking control problem is converted into an optimization problem using the observer method. The controller parameters are obtained through the LMI technique, reducing the complexity of stability analysis and finding appropriate parameters for MIMO systems. Three examples are provided to demonstrate the effectiveness of the proposed MFAC schemes.
APPLIED MATHEMATICS AND COMPUTATION
(2023)
Article
Automation & Control Systems
Valiollah Ghaffari, Saleh Mobayen, Sami ud Din, Thaned Rojsiraphisal, Mai The Vu
Summary: This study investigates a robust control technique for the reference tracking of uncertain time-delayed systems in the presence of actuator saturation. The tracking goal is achieved through suitable design of the composite nonlinear feedback (CNF) controller, considering the control complexities, input limitations, time-varying delay, uncertainty, and external disturbance. A Lyapunov-based procedure is used to determine the control law, and the parameters of the CNF input are derived using a solution of a linear matrix inequality (LMI) problem. The numerical implementation of the proposed tracking idea in two uncertain control systems demonstrates the efficiency of the suggested control procedure compared to existing CNF approaches.
Article
Automation & Control Systems
Farshad Merrikh-Bayat, Mehdi Afshar
Summary: The proposed method effectively controls input-affine nonlinear systems by transforming the nonlinear control problem into linear programming, making it suitable for multi-input multi-output systems with simplicity, robustness, and consideration of constraints on controls and states. The effectiveness of the method is verified through two numerical examples.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2021)
Article
Automation & Control Systems
Dingguo Liang, Zhichen He, Rongchang Li, Ying Yang
Summary: This article proposes a distributed fault detection method for uncertain Lipschitz nonlinear multi-agent systems. It utilizes a finite-frequency H-/H infinity unknown input observer to formulate the reference residual system and designs a robust UIO based on it using an H infinity model matching approach. The method allows for fault detection of multiple faulty agents by partitioning the unknown input and decoupling part of it.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2022)
Article
Computer Science, Information Systems
Seongcheol Jeong, Jaepil Ban
Summary: This paper presents a design of a robust switching reset controller for a class of nonlinear uncertain switched systems. The proposed method utilizes measured output for resetting controller states and introduces a weighted mixed L-2/l(2) -gain to account for disturbances induced by the measured output.
Article
Mathematics, Interdisciplinary Applications
Saleh Mobayen, Khalid A. Alattas, Afef Fekih, Fayez F. M. El-Sousy, Mohsen Bakouri
Summary: In this study, a novel barrier function-based adaptive non-singular terminal sliding mode control methodology is proposed to ensure the robust stability of disturbed nonlinear systems. It is proven that the barrier function-based control method can drive the state trajectories to converge to a region near the origin within a finite time. A sufficient criterion is derived using Lyapunov stability theorem and linear matrix inequalities (LMIs) to satisfy the asymptotic stability of state trajectories. Moreover, the design eliminates the need for any knowledge about the upper bounds of external disturbances, which is a common requirement in sliding mode control implementation. The stability analysis confirms that the system states, under the designed control scheme, can asymptotically converge to a predefined region. Simulation studies are presented to validate the effectiveness and robustness of the proposed approach.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Engineering, Mechanical
Wei Liu, Yanyan Wang, Zhiming Wang
Summary: This paper focuses on the robust input-to-state stability analysis and control of discrete-time singularly perturbed systems with nonlinear perturbations. It proposes a sufficient condition and an LMI-based method for system standardization and input-to-state stability. For the case where the nominal system is unstable, it also presents an LMI technique to achieve input-to-state stability in the resulting closed-loop system.
NONLINEAR DYNAMICS
(2022)
Article
Automation & Control Systems
Hamid Badruh, Valiollah Ghaffari, Amin Torabi Jahromi
Summary: In this article, a control technique based on linear matrix inequality (LMI) is used to design a robust integral composite nonlinear feedback (CNF) controller in order to enhance the transient performances in constrained uncertain systems. By considering inputs limitations and uncertainties, the regulation problem is transformed into an optimization problem subject to multiple LMIs. Real-time optimization is employed to calculate the gains of the controller, effectively handling regulation and disturbance rejection. Simulations demonstrate the applicability of the robust integral CNF control law in uncertain systems.
OPTIMAL CONTROL APPLICATIONS & METHODS
(2023)
Article
Mathematics, Interdisciplinary Applications
Zhimin Han, Yi Wang, Quanbao Ji, Sultan Alodhaibi
Summary: This paper presents theoretical results on the passivity and passivation of fractional-order nonlinear systems (FONSs), enriching the existing knowledge on the subject. Conditions are derived to ensure the passivity of FONSs, and an observer-based output passive control is established to guarantee the passivity of the corresponding closed-loop system. The practicality of the results is demonstrated through numerical simulations.
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY
(2022)
Article
Automation & Control Systems
Zhongda Tian, Shuo Li
Summary: This paper studies the design problem of unknown input observer for a class of nonlinear discrete time Markov jump systems, proposing feasibility conditions based on Lyapunov function. The conditions are transformed into a set of linear matrix inequality conditions for easy parameter solving using related software toolbox. An example of nonlinear tunneling diode circuit is provided to verify the feasibility and effectiveness of the proposed method.
TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL
(2022)
Article
Automation & Control Systems
Yeqin Wang, Beibei Ren, Qing-Chang Zhong, Jiguo Dai
Summary: A bounded integral controller (BIC) with limited control power is proposed for a class of nonlinear MIMO systems, ensuring that both control inputs and time-varying variables are dynamically constrained within a designed control circle. The BIC inherits traditional integral controller properties to eliminate tracking errors and achieve disturbance rejections, with guaranteed limited control power independently of plant information and system states.
IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY
(2021)
Article
Automation & Control Systems
Xiangru Xu, Adam M. Tahir, Behcet Acikmese
Summary: This article investigates the global stabilization of nonlinear systems under PETC mechanisms, providing sufficient conditions for input-to-state stability. These conditions ensure that the Lyapunov function of continuous dynamics is also valid for the overall system. Linear matrix inequalities are provided for the PETC design of incrementally quadratic nonlinear systems, with simulation examples illustrating the effectiveness of the proposed method.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2021)
Article
Acoustics
Oumayma Abderrahim, Anis Messaoud
Summary: An interval multiobserver is proposed in this paper for dealing with nonlinear systems subject to disturbances and noises. The stability of the systems and the cooperativity of observation errors are studied using LMIs, and an augmented system is introduced for tracking control. A numerical example is provided to demonstrate the effectiveness of the interval multiobserver in state estimation and control strategy.
JOURNAL OF VIBRATION AND CONTROL
(2023)
Article
Automation & Control Systems
Wen-Jer Chang, Che-Lun Su, Vijayakumar Varadarajan
Summary: This paper applies different fuzzy controller design methods to deal with nonlinear singular systems with external noises, using Takagi-Sugeno fuzzy modeling technology. By satisfying the Lyapunov stability conditions and passivity constraints, a fuzzy controller is designed and solved using linear matrix inequalities and convex optimization techniques.
ASIAN JOURNAL OF CONTROL
(2021)
Article
Mathematics
Masoud Chatavi, Mai The Vu, Saleh Mobayen, Afef Fekih
Summary: This paper proposes a nonlinear state feedback controller based on linear matrix inequality (LMI) for handling nonlinear systems with parametric uncertainties and external disturbances. The proposed controller aims to ensure system stability and performance in the presence of uncertainties and time-dependent disturbances. Through mathematical derivation and simulation experiments, the effectiveness and performance of the controller are verified.
Article
Acoustics
Ahsene Boubakir, Salim Labiod
Summary: This paper proposes an observer-based adaptive neural network chaos synchronization scheme for a general class of uncertain chaotic systems. The scheme uses an adaptive neural network control law and an extended state observer to achieve synchronization. The estimated error signals are utilized in the adaptation mechanism of the neural network weight vector. Compared to traditional methods, this scheme does not require knowledge of the models of the master-slave systems, but only requires the projective synchronization error.
JOURNAL OF VIBRATION AND CONTROL
(2023)
Article
Automation & Control Systems
Saliha Marir, Mohammed Chadli, Michael V. Basin
Summary: This paper studies the stabilization problem for linear continuous-time singular fractional-order systems and obtains new formulations of the admissibility for the closed-loop system by dynamic output feedback controller using LMI conditions, to generalize existing results for integer-order systems. The presented approach is validated by numerical examples demonstrating its applicability and efficacy.
ASIAN JOURNAL OF CONTROL
(2023)
Article
Energy & Fuels
Sofiane Bououden, Fouad Allouani, Abdelaziz Abboudi, Mohammed Chadli, Ilyes Boulkaibet, Zaher Al Barakeh, Bilel Neji, Raymond Ghandour
Summary: This paper presents a novel observer-based robust fault predictive control (OBRFPC) approach for wind turbines with time-delay system subject to constraints, faults, and disturbances. The approach includes an augmented state-space representation, a robust predictive controller synthesis, and an observer for state and fault estimation. The proposed method utilizes disturbance estimates and formulates the control process as an optimization problem subject to linear matrix inequalities (LMIs) to ensure disturbance rejection and fault tolerance. A simulation example on a nonlinear wind turbine model demonstrates the effectiveness of the proposed method in dealing with nonlinear systems subject to disturbances and faults.
Article
Computer Science, Interdisciplinary Applications
K. Houda, D. Saifia, M. Chadli, S. Labiod
Summary: This paper proposes a new control method based on unknown input observer (UIO) to address the stabilization problem of nonlinear systems with unknown inputs and actuators saturation. The control design includes an H & INFIN; control for nonlinear systems based on TS fuzzy systems, using the idea of UIO to estimate state variables and unknown inputs. The saturation effect is considered through polytopic representation, and the robust stabilization conditions are derived using descriptor representation. The UIO and controller gains are obtained through an optimization problem formulated under Linear Matrix Inequalities (LMI), and simulation results demonstrate the effectiveness of the proposed method.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2023)
Article
Automation & Control Systems
Kamil Hassan, Fatima Tahir, Muhammad Rehan, Choon Ki Ahn, Mohammed Chadli
Summary: This article addresses the group consensus problem in a network of multiagent systems by proposing a relative-output-based distributed control law. By utilizing Lyapunov stability theory and a linear matrix inequality, the sufficient and necessary conditions for achieving group consensus are formulated and validated.
IEEE TRANSACTIONS ON CYBERNETICS
(2023)
Article
Automation & Control Systems
B. Visakamoorthi, Samson Shenglong Yu, K. Subramanian, P. Muthukumar, Mohammed Chadli, Hieu Trinh
Summary: This study proposes a practical consensus control method for heterogeneous multiagent systems with gain fluctuations using sampled-data-based approach. A more general retarded sampled-data control approach is designed to achieve practical consensus by considering gain fluctuations, actual sampling pattern, and constant time delay. The stability condition of the closed-loop system is derived using a Wirtinger's inequality-based discontinuous Lyapunov-Krasovskii functional and linear matrix inequality. Numerical simulation validates the theoretical results obtained.
EUROPEAN JOURNAL OF CONTROL
(2023)
Article
Automation & Control Systems
Wenhai Qi, Guangdeng Zong, Yakun Hou, Mohammed Chadli
Summary: This article focuses on the discrete-time sliding mode control (DSMC) for nonlinear semi-Markovian switching systems (S-MSSs). Due to the difficulty in obtaining complete information of the semi-Markov Kernel in practical applications, it is commonly considered to be partly unknown. By utilizing the prior information of the sojourn-time upper bound for each switching mode, this article proposes sufficient conditions under the equivalent DSMC law for mean square stability. Moreover, the designed DSMC law achieves finite-time reachability of the sliding region and finite-time convergence of the sliding dynamics to the predesignated sliding region. A numerical example and an electronic throttle model are provided to validate the proposed control strategy.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2023)
Article
Computer Science, Artificial Intelligence
Zi-Peng Wang, Xu Zhang, Huai-Ning Wu, Mohammed Chadli, Tingwen Huang, Junfei Qiao
Summary: This article introduces a dynamic fuzzy boundary output feedback control for nonlinear space-varying parabolic partial differential equation systems with random time-varying delay under noncollocated boundary measurement. The nonlinear delayed PPDESs are represented by Takagi-Sugeno (T-S) fuzzy models and a fuzzy observer under NCBM is presented to overcome the design difficulty of boundary control. An observer-based fuzzy boundary controller is proposed and conditions for mean-square exponential stability are obtained by utilizing the Lyapunov direct method and Wirtinger inequality. Feasibility conditions for the DFBOF controller design are expressed in LMIs to solve the SLMIs. Two examples are provided to demonstrate the validity of the proposed approach.
IEEE TRANSACTIONS ON FUZZY SYSTEMS
(2023)
Article
Computer Science, Artificial Intelligence
Yang Wu, Xixiang Yang, Huaicheng Yan, Mohammed Chadli, Yueying Wang
Summary: This article presents a design of an event-triggered finite-time singularity-free terminal sliding-mode control algorithm for tracking Euler-Lagrange systems. The proposed algorithm can handle state/error constraints, unstructured dynamics, and external disturbances. It introduces a novel sliding-mode manifold that ensures finite-time convergence of tracking errors and strict constraint requirements. A fuzzy logic system is used to compensate for uncertainties, and an event-triggered mechanism is integrated to reduce signal transmission frequency.
IEEE TRANSACTIONS ON FUZZY SYSTEMS
(2023)
Article
Computer Science, Artificial Intelligence
Yajing Yu, Jian Guo, Mohammed Chadli, Zhengrong Xiang
Summary: This article investigates a distributed fuzzy adaptive formation control strategy for quadrotor multiple unmanned aerial vehicles (UAVs) under unmodeled dynamics and switching topologies. The strategy includes generating attitude commands, solving the position controller, constructing a communication mechanism, and designing a fuzzy adaptive sliding mode controller. The simulation results confirm the effectiveness of the proposed control strategy.
IEEE TRANSACTIONS ON FUZZY SYSTEMS
(2023)
Article
Automation & Control Systems
Amine Kennouche, Dounia Saifia, Mohammed Chadli, Salim Labiod
Summary: This paper proposes a new non-quadratic stabilization conditions based on adaptive fuzzy observer for a class of T-S fuzzy systems subject to external disturbances and both actuator faults and saturation. An observer based fault tolerant control (FTC) is proposed to estimate system states and actuator faults, compensate for the actuator faults, and stabilize the faulty system with input constraints. The advantages and robustness of the proposed approach are demonstrated through a mixed CSTR and a numerical example.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2023)
Article
Automation & Control Systems
Panming Zhu, Guangdeng Chen, Guohuai Lin, Mohammed Chadli
Summary: This study investigates the leader-following consensus issue for multiagent systems under external disturbances and denial-of-service (DoS) attacks. A novel triggering mechanism is designed to save communication resources during normal communication periods and detect the end of attack periods. Estimators are constructed to predict the states of the agent and its neighbors during attacks. A distributed switching controller is designed that includes event-triggered and predicted states. The proposed secure control protocol ensures eventual consensus and avoids Zeno behavior. A simulation example demonstrates the effectiveness of the strategy.
TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL
(2023)
Article
Green & Sustainable Science & Technology
Omar Hazil, Fouad Allouani, Sofiane Bououden, Mohammed Chadli, Mohamed Chemachema, Ilyes Boulkaibet, Bilel Neji
Summary: In this paper, a new robust model predictive control (RMPC) algorithm is designed to regulate the terminal voltage of a photovoltaic generator (PVG) supplying power to a DC motor-pump via a buck DC-DC converter. The control task is complex due to the nonlinear behavior of the system and its dependency on climate conditions. Based on the dead-zone property, a new RMPC technique is introduced to ensure the robust stability of the closed-loop system in the presence of actuator nonlinearity.
Article
Computer Science, Artificial Intelligence
Yan Zhang, Mohammed Chadli, Zhengrong Xiang
Summary: In this article, the adaptive fuzzy predefined-time tracking control problem for a class of nonlinear systems with output hysteresis is investigated. An inverse model is utilized to capture the output hysteresis phenomenon, and the Nussbaum-type function technique is utilized to overcome the difficulty of unknown time-varying control gain caused by output hysteresis. An adaptive fuzzy control scheme under the backstepping framework is developed using the predefined-time stability criterion. The feasibility of the developed scheme is verified by an example of an electromechanical system.
IEEE TRANSACTIONS ON FUZZY SYSTEMS
(2023)
Article
Automation & Control Systems
Hao Shen, Yu-An Liu, Jing Wang, Huaicheng Yan, Mohammed Chadli
Summary: This work proposes an Hop sliding-mode control for nonlinear singularly perturbed system under the framework of network control. The system's nonlinearities with parameter uncertainties are described using the interval type-2 (IT2) fuzzy method for system modeling. A disturbance observer is developed to estimate and neutralize the unknown disturbance. An event-triggered communication protocol with a dynamic threshold parameter is adopted to reduce network resource occupation. A fuzzy integral sliding motion is constructed based on the system model and disturbance estimation. The proposed approach is demonstrated with IT2 fuzzy extensions of two classical examples.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2023)
