Article
Automation & Control Systems
Jinjin Liu
Summary: This paper focuses on the synthesis of controllers for enforced positive switched linear systems via output feedback. The proposed controllers ensure stability and positivity under average dwell time switching signal, with conditions described via linear programming. The simulation results demonstrate the feasibility of the control strategy.
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS
(2021)
Article
Automation & Control Systems
Junfeng Zhang, Miao Li, Tarek Raissi
Summary: This paper proposes a reliable control method for positive switched systems with random nonlinearities by employing a switched linear copositive Lyapunov function and designing a reliable controller to resist potential security risks caused by random nonlinearities and actuator faults.
Article
Acoustics
Xindong Si, Hongli Yang
Summary: This article investigates the Constrained Regulation Problem (CRP) for continuous-time stochastic systems, proposing new existence conditions for linear feedback control laws and introducing a computation method for solving such problems. The study establishes conditions for polyhedral invariance and asymptotic stability, presenting linear programming models and algorithms for constrained regulation problems in stochastic systems. The approach connects the stochastic constrained regulation problem with positively invariant set theory and suggests the use of optimization methodology, demonstrating the efficacy through numerical examples.
JOURNAL OF VIBRATION AND CONTROL
(2022)
Article
Automation & Control Systems
Hamed Jabbari Asl, Tatsuo Narikiyo
Summary: This study focuses on controlling nonlinear systems with actuation time delays. A novel output-feedback controller is proposed, in which the input commands are saturated and adjustable. A predictor term is used to compensate for delays, and auxiliary systems are exploited to provide bounded control commands and account for the lack of full-state information. Stability analysis results show that uniformly ultimately bounded tracking is guaranteed despite modeling uncertainties and time-varying disturbances. The controller's performance is evaluated through simulation.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2022)
Article
Automation & Control Systems
Guangdeng Zong, Wenhai Qi, Hamid Reza Karimi
Summary: This article addresses the issue of L-1 control design for a class of delayed stochastic jump systems with semi-Markov jump parameters. It introduces new methods to achieve stochastic stability and control design under L-1 gain performance index, and verifies the effectiveness of theoretical results through a virus mutation treatment model.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2021)
Article
Engineering, Mechanical
Junfeng Zhang, Suhuan Zhang, Peng Lin
Summary: This paper investigates the event-triggered model predictive control of positive systems with actuator saturation. A new model with actuator saturation obeying Bernoulli distribution is established, and a linear event-triggering condition is constructed. An interval estimate approach and linear programming approach are proposed to achieve positivity and stability of the systems. A predictive algorithm is introduced for the computation of the event-triggered controller parameters with an example provided for illustration.
NONLINEAR DYNAMICS
(2021)
Article
Automation & Control Systems
Hoai-Nam Nguyen
Summary: The paper aims to derive a convex formulation for optimizing the fictitious dynamics of the extended command governor strategy and provide an efficient online algorithm to solve the optimization problem of the ellipsoidal set-based command governor. Two numerical examples demonstrate the effectiveness of the proposed algorithm through comparison with earlier solutions from the literature.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2023)
Article
Automation & Control Systems
Junfeng Zhang, Suhuan Zhang, Gang Zheng
Summary: This paper presents a new hybrid dynamic event-triggered control framework for positive Markovian jump systems, addressing actuator fault in continuous- and discrete-time contexts. The framework introduces a new triggering mechanism consisting of dynamic and static event-triggering conditions. It also utilizes an interval approach to obtain the lower and upper bounds of the original system for control design. The proposed nonfragile controller ensures stochastic stability of the continuous-time system with actuator fault.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2023)
Article
Environmental Sciences
Mingyang Zhai, Haifeng Jia, Dingkun Yin
Summary: This study introduces an interval-chance-constrained programming-based optimization model applied to a CCUS project in China, demonstrating that the model can ensure maximum CO2 storage and system reliability under different violation probability levels.
SCIENCE OF THE TOTAL ENVIRONMENT
(2021)
Article
Energy & Fuels
Yichen Zhang, Chen Chen, Tianqi Hong, Bai Cui, Zhe Xu, Bo Chen, Feng Qiu
Summary: Integration of grid supportive modes in inverter-based resources can enhance the frequency response of renewable-rich microgrids. To ensure frequency trajectory constraints under predefined disturbances, synthesis of grid supportive modes is challenging yet crucial. A numerical optimal control (NOC)-based control synthesis methodology is proposed to address this challenge. Linearized models are employed in control design, with linearization-induced errors analyzed and represented as interval uncertainties. The proposed control is validated on a modified 33-node microgrid, demonstrating its effectiveness and the significance of considering linearization-induced uncertainty.
Article
Management
Pengfei Yu, Ruotian Gao, Wenxun Xing
Summary: This study examines the maximization of perturbation radius of an ellipsoidal set under perturbed uncertain coefficients for each constraint, in the context of robust convex quadratically constrained quadratic programming problems. By formulating a fractional programming problem and reformulating it into linear conic programs solvable in polynomial time, the proposed sensitivity analysis concept is demonstrated through numerical experiments related to robust Markowitz's portfolio selection. Comparative numerical results show the efficiency of direct solutions of linear conic programs versus a bisection method for the corresponding fractional programming problem.
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH
(2021)
Article
Construction & Building Technology
Himanshu Nagpal, Iason-Iraklis Avramidis, Florin Capitanescu, Per Heiselberg
Summary: Recent European environmental directives, prevalent consumer desire to minimize electricity costs, and flexible buildings driven by the grid have all contributed to the rise of smart sustainable buildings (SSBs). Coordinated by building energy management systems (BEMS), SSBs aim to achieve monetary gains for owners while meeting the nearly-zero-energy (nZE) mandate. The proposed framework in this paper considers device composition, weather forecast uncertainties, and a novel adaptive sustainability criterion to optimize cost management and maintain the SSB's nZE status.
ENERGY AND BUILDINGS
(2021)
Article
Automation & Control Systems
Francesco Basile, Gianmaria De Tommasi, Claudio Sterle
Summary: The security of distributed control systems is vulnerable to information leaks, allowing external intruders to infer the system's state. Noninterference addresses the absence of these leak paths in a dynamic system modeled as a discrete-event system. This article proposes a supervisory control strategy to enforce noninterference in systems with information leaks, using optimization problems and a Petri net model for the solution, and demonstrates the effectiveness of the enforcement strategy through illustrative examples.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2021)
Article
Mathematics, Applied
Ran Gu, Qiang Du, Ya-xiang Yuan
Summary: Quadratically constrained quadratic programming (QCQP) is prevalent in engineering applications, and we have proposed a penalty formulation based on semidefinite relaxation to tackle this NP-hard problem. Our algorithm has been shown to be very effective in finding high-quality solutions through numerical testing on well-studied QCQP problems.
IMA JOURNAL OF NUMERICAL ANALYSIS
(2021)
Article
Mathematics
Xiaogang Yang, Mengxing Huang, Yuanyuan Wu, Siling Feng
Summary: This paper proposes an observer-based proportional-integral-derivative control method for positive multi-agent systems. A positive observer is constructed using a matrix decomposition approach, and a novel proportional-integral-derivative protocol framework is proposed based on an improved observer. The positivity and consensus of the multi-agent systems are achieved by using copositive Lyapunov function. The design is applicable to heterogeneous positive multi-agent systems, and the gain matrices can be constructed based on linear programming.
