Article
Engineering, Multidisciplinary
Mohamed A. Mabrok, Maryam Ahmed Alyami, Emad E. Mahmoud
Summary: This paper introduces a new concept of negative imaginary systems and proposes a new definition for extending nonlinear negative imaginary systems. Two different quadratic dynamic supply rates are introduced to broaden the applicability of the dissipativity concept. The new definition allows for a wider range of analysis on negative imaginary systems, enabling consideration of a greater variety of dynamical systems.
ALEXANDRIA ENGINEERING JOURNAL
(2021)
Article
Engineering, Mechanical
Jiedong Li, Mingwei Sun, Zengqiang Chen
Summary: This paper proposes an add-on damping compensation approach with adjustable gain to handle systems with uncertain resonance frequency and improve vibration suppression performance in different sensitivity functions.
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
(2023)
Article
Automation & Control Systems
Yuman Li, Yiheng Wei, Chen Yuquan, Yong Wang
Summary: This paper presents the bounded real lemma corresponding to the H-infinity norm of the singular fractional-order system (SFOS), which can be transformed into an LMI problem without conservatism and automatically test system stability. The synthesis problem of H-infinity control for SFOS is addressed in the form of LMI, and simulation studies validate the effectiveness and efficiency of the proposed methods.
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
(2021)
Article
Automation & Control Systems
Sei Zhen Khong
Summary: This article presents necessary and sufficient conditions for robust stability of a feedback interconnection of linear time-invariant systems. It is shown that the feedback interconnection is stable when the instantaneous gain of the loop transfer function is zero and the static loop gain is less than unity.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2023)
Article
Automation & Control Systems
Dingchao Ren, Junlin Xiong, Daniel W. C. Ho
Summary: This paper investigates the design of static output feedback (SOF) NI controllers with H-infinity performance and proposes an iterative LMI-based algorithm for synthesis.
Article
Engineering, Electrical & Electronic
Qing-Hao Zhang, Jun-Guo Lu
Summary: This brief investigates the problems of bounded real lemmas in the sense of H infinity norm for singular fractional-order systems with the commensurate order 1 < alpha < 2. Novel necessary and sufficient conditions are proposed for bounded real lemmas in the form of linear matrix inequalities with equality constraints. An H-infinity controller synthesis problem is analyzed for singular fractional-order systems with norm bounded uncertainties, and the corresponding controller is designed based on the bounded real lemmas, illustrated with an example of a singular fractional-order electrical circuit.
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS
(2021)
Article
Automation & Control Systems
Yanwei Huang, Tao Lin, Wenchao Huang
Summary: This study proposes a heading control method for unmanned surface vehicles (USVs) to address the asymmetry and loss of linear velocity. By using SOS and EBRL methods, the control parameters of the USV model are determined, ensuring system robustness.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2022)
Article
Automation & Control Systems
Parijat Bhowmick, Alexander Lanzon
Summary: This paper introduces static pre- and post-compensation schemes to transform non-square LTI systems into a subset of Negative Imaginary systems, and stabilize non-square or non-NI square systems in a positive feedback loop. It also presents a constant reference tracking scheme based on the integral controllability property of SSNI systems, and develops observer-based pre- and post-compensators for systems with unavailable state measurements. The compensation schemes are further extended to handle polytopic uncertainty in stable, non-square, or non-NI square systems.
Article
Automation & Control Systems
Chan-eun Park, Nam Kyu Kwon, PooGyeon Park
Summary: This article proposes a new strictly bounded real lemma (BRL) for continuous-time singular Markovian jump systems (SMJSs) in terms of strict linear matrix inequalities (LMIs). Based on the proposed BRL, the sufficient condition for state-feedback stabilization is successfully obtained, leading to finding the minimal Script capital H-infinity performance by solving the optimization problem subject to the suggested LMIs. Two examples demonstrate the less conservatism of the proposed method compared with the previous work.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2021)
Article
Mathematics, Applied
Debora Amadori, Fatima Al-Zahra Aqel
Summary: In this paper, a 2 x 2 semilinear hyperbolic system of partial differential equations related to a semilinear wave equation is studied. The well-posedness result in L-infinity in the space-time domain and the time-asymptotic stability of the zero solution under appropriate conditions are proven, showing exponential decay to zero in the space L-infinity. The contractive property of the invariant domain of the unknowns is crucial for these results, which also yield a decay property in W-1,W-infinity for the corresponding solution to the semilinear wave equation.
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
(2021)
Article
Automation & Control Systems
Vu Phi Tran, Fendy Santoso, Matthew A. Garratt, Ian R. Petersen
Summary: This study focuses on designing robust and adaptive control systems based on negative imaginary systems theory for trajectory tracking of a quadcopter. Knowledge-based fuzzy inference systems enable automatic tuning, allowing for self-tuning parameters in the adaptive control systems. The concept of adaptive autopilots enhances closed-loop control systems' ability to accommodate large uncertainties.
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS
(2021)
Article
Automation & Control Systems
Kanghong Shi, Nastaran Nikooienejad, Ian R. Petersen, S. O. Reza Moheimani
Summary: This article proposes a new approach to solve the control problem for negative imaginary systems using hybrid integrator-gain systems. The single HIGS, multi-HIGS, and cascade of two HIGSs are shown to be nonlinear NI systems that can be used as controllers to stabilize linear NI systems. The results are illustrated in a real-world experiment using a 2-DOF MEMS nanopositioner stabilized by a multi-HIGS.
IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY
(2023)
Article
Optics
Nkeh Oma Nfor, Desire Ndjanfang, Jean Roger Bogning
Summary: We study a higher-order nonlinear Schrodinger amplitude equation with real and imaginary Raman gain terms, which governs the propagation of femtosecond pulses in optical fiber media. The modulational instability of continuous wave solution of this amplitude equation is investigated, and it is shown that the gain exists in both the anomalous and normal dispersion regimes when considering the complex intrapulse Raman terms. However, in the absence of dissipation induced by Raman process, periodic bright solitary waves can only be observed in the anomalous dispersion regime. Nonlinear periodic trains of optical pulses are obtained analytically using the ansatz technique and the direct integral method. The formation of an optical shock front moving at the group velocity is attributed to the Raman dissipation process in the optical fiber. Finally, numerical simulations confirm the influence of Raman gain terms on the evolution of optical soliton trains.
Article
Automation & Control Systems
Yingying Han, Shaosheng Zhou
Summary: This paper proposes a sufficient and necessary condition for H-infinity filtering of discrete-time Markovian jump singular systems, and provides an equivalent matrix inequality for obtaining the filter. The effectiveness of the proposed techniques is demonstrated through simulation examples.
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
(2023)
Article
Automation & Control Systems
Yaping Sun, Housheng Su, Xiaoling Wang, Hai-Tao Zhang
Summary: This article investigates the observer-based non-negative scaled edge-consensus problems of a continues-time networked system with or without input saturation, proposing an algorithm that utilizes neighboring edges' outputs. By simplifying the original networked model and preliminary algorithm using line graph theory and a new variable, specific mathematical formulations for feedback matrix and observer matrix are derived by combining H-infinity control theory and low-gain feedback technique. Sufficient conditions for guaranteeing non-negative edge states and bounded control inputs are obtained, while the advantages of low-gain feedback technique for ensuring non-negative edge states and designing the algorithm are highlighted. Additionally, three cases are used to confirm the validity of the theorems.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2021)
Article
Automation & Control Systems
Alexander Lanzon, Parijat Bhowmick
Summary: In this article, we define the notion of stable input-output negative imaginary (IONI) systems. This new class captures and unifies all the existing stable sub-classes of negative imaginary (NI) systems and is capable of distinguishing between the strict subclasses in the literature. We also provide linear matrix inequality (LMI) tests on the state-space matrices to check whether a system belongs to the IONI class or any of its important subclasses. Additionally, the derived results are specialized for OSNI systems. Rating: 8/10
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2023)
Article
Automation & Control Systems
Qi Yu, Daoyi Dong, Ian R. Petersen
Summary: This study investigates a hybrid quantum-classical filtering problem where a qubit system is disturbed by a classical stochastic process. The classical disturbance is modeled using an optical cavity. The relations between classical disturbances and the cavity analog system are analyzed, and the dynamics of the enlarged quantum network system are derived. A stochastic master equation for the qubit-cavity hybrid system is given, and estimates for the state of the cavity system and the classical signal are obtained using the quantum-extended Kalman filter. Numerical results are presented to demonstrate the effectiveness of the proposed methods.
IEEE TRANSACTIONS ON CYBERNETICS
(2022)
Article
Automation & Control Systems
Yanan Liu, Daoyi Dong, Ian R. Petersen, Hidehiro Yonezawa
Summary: This paper investigates the design of fault-tolerant H-infinity controllers for Optical Parametric Oscillators (OPOs) with disturbance input and time-varying uncertainties. The study applies robust control theory to quantum systems and designs passive and active controllers based on Riccati equations. The controllers' performance is compared through numerical simulations, and the results indicate their effectiveness in handling fluctuations in both phase and amplitude.
Article
Automation & Control Systems
Shan Ma, Matthew James Woolley, Ian R. Petersen
Summary: The purpose of this article is to synthesize a linear quantum system that is strictly stable and has a steady thermal state. The article presents a parameterization of a class of stable linear quantum systems and discusses the asymptotic evolution of the systems in two scenarios.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2022)
Article
Automation & Control Systems
Subhransu S. Bhattacharjee, Ian R. Petersen
Summary: In this paper, a closed-loop optimization method called Whiplash inertial gradient dynamics is proposed, which utilizes gradient information. Symplectic asymptotic convergence analysis is introduced for the Whiplash system in convex functions. Relaxation sequences are also introduced to explain the nonclassical nature of the algorithm, along with a deterministic exploring heuristic variant of the Whiplash algorithm to escape saddle points. The authors provide practical methodology for analyzing convergence rates using integral constraint bounds and a novel Lyapunov rate method, demonstrating polynomial and exponential rates of convergence for quadratic costs.
ASIAN JOURNAL OF CONTROL
(2023)
Article
Automation & Control Systems
Xing Wang, Bo Li, Jr-Shin Li, Ian R. Petersen, Guodong Shi
Summary: This article presents graph theoretic conditions for the controllability and accessibility of bilinear systems over different groups in the presence of drift terms. The system's properties are related to two interaction graphs, one from the drift and another from the controlled dynamics, based on the classical Lie algebra rank condition. The article establishes a systematic way to transform the Lie bracket operations in the underlying Lie algebra into specific operations of removing or creating links over the drift and controlled interaction graphs, leading to a series of graphical conditions for the controllability and accessibility of such bilinear systems.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2023)
Article
Automation & Control Systems
Hongsheng Qi, Biqiang Mu, Ian R. Petersen, Guodong Shi
Summary: In this article, we study the recursion corresponding to measurement outcomes for open quantum networks under sequential measurements. We show that the state transition of the induced Boolean network can be explicitly represented through a real version of the master equation. We also demonstrate that structural properties of the induced Boolean network are direct consequences of the relaxing property of open quantum dynamics.
IEEE TRANSACTIONS ON CONTROL OF NETWORK SYSTEMS
(2023)
Article
Automation & Control Systems
Valery Ugrinovskii, Ian R. Petersen, Iman Shames
Summary: Among first order optimization methods, Polyak's heavy ball method is known to achieve the same asymptotic rate of convergence as Nesterov's lower bound for functions in infinite-dimensional space. This paper demonstrates that the heavy ball method is provably worst-case asymptotically optimal when applied to quadratic functions in a finite dimensional space, using results on the robust gain margin of linear uncertain feedback control systems.
Article
Automation & Control Systems
Kanghong Shi, Ian R. Petersen, Igor G. Vladimirov
Summary: This article presents a protocol to solve the robust output feedback consensus problem for networked heterogeneous nonlinear NI systems with free body motion. The definition of nonlinear NI systems is extended to accommodate systems with free body dynamics. A new stability result and a class of networked nonlinear OSNI controllers are proposed to achieve output feedback consensus for heterogeneous networked nonlinear NI systems. The numerical example demonstrates the effectiveness of this control framework.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2023)
Article
Automation & Control Systems
Vu Phi Tran, Mohamed A. Mabrok, Sreenatha G. Anavatti, Matthew A. Garratt, Ian R. Petersen
Summary: This article introduces a novel robust adaptive control synthesis methodology for attitude and altitude stabilization of a quadrotor robot. The method combines fuzzy reinforcement learning and negative imaginary property to achieve better control performance.
IEEE TRANSACTIONS ON CYBERNETICS
(2023)
Proceedings Paper
Automation & Control Systems
Yu-Hsiang Su, Alexander Lanzon
Summary: This paper investigates the cooperative control problem of choke-point navigation for multiple quadcopters when only their subgroup is equipped with obstacle detecting sensors. The proposed cooperative controllers are distributed and validated through autonomous flight experiments.
2022 IEEE INTERNATIONAL CONFERENCE ON ROBOTICS AND AUTOMATION (ICRA 2022)
(2022)
Proceedings Paper
Automation & Control Systems
Rebbecca T. Y. Thien, Shanon L. Vuglar, Ian R. Petersen
Summary: This paper presents a J-spectral factorization condition for implementing a strictly proper transfer function matrix as a physically realizable quantum system using direct feedthrough quantum noise. A necessary frequency response condition is also introduced. Examples are included to illustrate the main findings.
2022 IEEE 61ST CONFERENCE ON DECISION AND CONTROL (CDC)
(2022)
Article
Automation & Control Systems
P. Hilborne, A. Lanzon
Summary: A new type of local input-output stability, called M-local boundedness, is defined for nonlinear systems, which can be seen as a local version of global boundedness. Sufficient conditions for M-local boundedness of a nonlinear feedback system are derived using graph separation concepts and a novel topological argument. This theorem is then used to find a new local nonlinear small gain condition for a closed-loop system with additive inputs.
IEEE CONTROL SYSTEMS LETTERS
(2022)
Article
Automation & Control Systems
V Ugrinovskii, I. R. Petersen, I Shames
Summary: In this letter, we revisit the famous heavy ball method and study its global convergence for a class of non-convex problems. We characterize the parameters that lead to global convergence and the best R-convergence factor. We show that this convergence factor is superior to the factor obtained from the triple momentum method.
IEEE CONTROL SYSTEMS LETTERS
(2022)
Article
Automation & Control Systems
Parijat Bhowmick, Alexander Lanzon
Summary: This letter introduces the notion of linear Discrete-time Output Negative Imaginary (D-ONI) systems, defines its properties and compares it with existing D-NI systems. The paper also discusses the connections between discrete-time Passive and discrete-time NI systems, and proposes a stability result for a positive feedback interconnection of two D-ONI systems.
IEEE CONTROL SYSTEMS LETTERS
(2022)
