Article
Automation & Control Systems
Jiankun Sun, Jun Yang, Shihua Li, Zhigang Zeng
Summary: In this article, a solution to the problem of global sampled-data output feedback stabilization for a class of nonlinear uncertain systems with delayed output is proposed using the continuous-discrete method. The proposed method combines a predictor-based continuous-discrete observer and a linear controller to effectively estimate the unknown state and compensate for the influences of sampling and output delay. The advantage of this method is that it does not require full state information and accurate model nonlinearities. The global exponential stability of the control system can be ensured under certain conditions regarding the maximum allowable sampling period and output delay.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2023)
Article
Automation & Control Systems
Kecai Cao, Chunjiang Qian, Juping Gu
Summary: This paper proposes novel compensating strategies in output feedback controller design for a class of nonlinear uncertain system. The compensation schemes eliminate the need for a sufficiently small sampling period or approximating step previously imposed, and allow for easy implementation of the proposed controllers using output measurements sampled at the current step and delayed output measurements sampled at the previous step without constructing state observers. The results have been illustrated through numerical studies.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2023)
Article
Automation & Control Systems
Zhen-Guo Liu, Hongli Dong, Weixing Chen, Weidong Zhang
Summary: This article investigates the adaptive regulation problem of uncertain delayed nonlinear systems and presents two unified adaptive control methods to achieve global asymptotic stability by introducing dynamic gain transformation and using homogeneous domination method.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2022)
Article
Automation & Control Systems
Amanda Spagolla, Alvaro A. Lemaire, Cecilia F. Morais, Ricardo C. L. F. Oliveira, Pedro L. D. Peres
Summary: This paper addresses the problems of H-2 and H-∞ control design for positive continuous-time linear systems with uncertain parameters. It proposes a method based on linear matrix inequalities to obtain stabilizing gain and H-2 (or H-∞) guaranteed cost. The method allows for independent optimization of the gain and the Lyapunov matrix, and does not require a diagonal structure on the matrix used to enforce closed-loop positivity.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2022)
Article
Computer Science, Information Systems
Xinxu Ju, Xianglei Jia, Yiming Shao
Summary: This paper investigates the robust stabilization problem of a class of uncertain nonlinear systems with input matching uncertainty, obtaining smooth robust controllers through state feedback and output feedback. Extra dynamics are designed to deal with input matching uncertainty, with controllers ensuring asymptotic convergence of controlled system states and global boundedness of closed-loop signals. Simulation examples demonstrate the usefulness of the proposed state-feedback and output-feedback controllers.
Article
Automation & Control Systems
Shi Li, Choon Ki Ahn, Jian Guo, Zhengrong Xiang
Summary: In this paper, the global output feedback stabilization problem for switched nonlinear systems in the p-normal form is addressed using a reduced-order state observer and an output feedback sampled-data controller. The proposed controller relaxes some restrictions of switched nonlinear systems and ensures convergence of all states to the origin. Simulation results demonstrate the effectiveness of the proposed scheme.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2021)
Article
Automation & Control Systems
Yingying Cheng, Jun Zhang, Haibo Du, Guanghui Wen, Xiangze Lin
Summary: This article addresses the global output feedback stabilization problem for a class of uncertain nonlinear systems using aperiodic-sampled-data control, specifically event-triggered control. By applying output feedback domination technique, an observer-based event-triggered output feedback control law is constructed to ensure global asymptotic stabilization. The combination of event-triggered and time-triggered mechanisms is proposed to prevent Zeno behavior and ensure the stability of the sampled-data controller. The proposed event-triggered control law successfully solves the global output feedback stabilization problem for the uncertain nonlinear systems, with comparative simulation examples demonstrating the efficiency of the method.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2021)
Article
Automation & Control Systems
Liang Liu, Jiaming Lu, Mengru Kong
Summary: This paper discusses exponentially stable problem for a class of stochastic strict feedforward nonlinear systems, presenting a parameter-dependent controller to handle nonlinearities. Through coordinate transformation and parameter selection, the proposed controller ensures stability of the closed-loop system as demonstrated by stochastic Lyapunov stability theory. Simulation results validate the efficiency of the proposed controller.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2021)
Article
Automation & Control Systems
Tomas Menard, Emmanuel Bernuau, Emmanuel Moulay, Patrick Coirault
Summary: In this article, a new observer design is proposed for systems with aperiodic and asynchronous sampling of the output, assuming the availability of a continuous-time homogeneous observer of negative degree. The proposed method adapts the existing continuous-time observer to handle sampled measurements instead of continuous ones. The obtained observer error is globally uniformly ultimately bounded for any upper bound on the sampling periods, and the ultimate bound decreases as the upper bound on the sampling periods decreases. The stability analysis is based on a Lyapunov approach and the performances of the proposed observer are illustrated with simulations.
Article
Automation & Control Systems
Xin Yu, Wei Zhao, Jianwei Xia, Xiangyong Chen, Hao Shen
Summary: This paper investigates the fixed-time tracking control issue for a class of high-order nonlinear delayed systems subject to mismatched disturbances. The fuzzy logic system is applied to handle the nonlinear functions and the power integrator technique is introduced to address the high-order terms. Different from conventional methods, the adaptive backstepping method is utilized in this paper to cope with the delayed terms. The main objective is to design a suitable adaptive fuzzy fixed-time controller to ensure stability and boundedness of the closed-loop system in a fixed-time interval.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2023)
Article
Automation & Control Systems
Chunting Ji, Zhengqiang Zhang, Shuzhi Sam Ge
Summary: In this article, the global stabilization problem of ODE-parabolic PDE-ODE-coupled systems subject to spatially varying coefficients is investigated. State-feedback and output-feedback controllers are established using infinite-dimensional and finite-dimensional backstepping transformations to guarantee the global exponential stability of the closed-loop system. The boundedness and exponential convergence of the controllers are also studied. Simulation data is provided to illustrate the effectiveness of the theoretical results.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2023)
Article
Automation & Control Systems
Lei Wang, Christopher M. Kellett
Summary: This article studies the robust output feedback stabilization problem for multi-input-multi-output (MIMO) invertible nonlinear systems with output-dependent multipliers. An ideal state feedback is first designed and a set of extended low-power high-gain observers is systematically designed, resulting in a robust output feedback stabilizer that achieves semi-global asymptotic stability and improves numerical implementation.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2022)
Article
Engineering, Electrical & Electronic
Zhaoming Sheng, Qian Ma, Shengyuan Xu
Summary: This paper proposes a sampled-data practical tracking control scheme for nonlinear time-delay systems. By utilizing a novel technique lemma and the output feedback domination approach, the trajectory growth can be effectively estimated and the desired tracking accuracy can be achieved.
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS
(2022)
Article
Automation & Control Systems
Wenshun Lv, Junwei Lu, Yongmin Li, Yuming Chu, Shengyuan Xu
Summary: In this paper, an adaptive neural control scheme is proposed for a class of unknown nonlinear systems with unknown sensor hysteresis. The scheme utilizes radial basis function neural networks to approximate the unknown nonlinearities and implements the backstepping technique to construct controllers. The control design is challenging due to the unavailability of genuine system states caused by sensor hysteresis. The proposed control scheme ensures practical finite-time stability of the closed-loop system, as proved by the Lyapunov theory. A numerical simulation example is provided to validate the effectiveness of the approach.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2022)
Article
Computer Science, Artificial Intelligence
Jiankun Sun, Jun Yang, Zhigang Zeng, Huiming Wang
Summary: In this article, the problem of sampled-data robust output feedback control for a class of nonlinear uncertain systems with time-varying disturbance and measurement delay is investigated. A novel control method based on continuous-discrete observer and predictor is proposed, which can effectively attenuate the influences of nonlinear uncertainties and disturbance.
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS
(2023)