State Estimation with Reduced-Order Observer and Adaptive-LQR Control of Time Varying Linear System

In this study, a new controller design was created to increase the control performance of a variable loaded time varying linear system. For this purpose, a state estimation with reduced order observer and adaptive-LQR (Linear–Quadratic Regulator) control structure was offered. Initially, to estimate the states of the system, a reduced-order observer was designed and used with LQR control method that is one of the optimal control techniques in the servo system with initial load. Subsequently, a Lyapunov-based adaptation mechanism was added to the LQR control to provide optimal control for varying loads as a new approach in design. Thus, it was aimed to eliminate the variable load effects and to increase the stability of the system. In order to demonstrate the effectiveness of the proposed method, a variable loaded rotary servo system was modelled as a time-varying linear system and used in simulations in Matlab-Simulink environment. Based on the simulation results and performance measurements, it was observed that the proposed method increases the system performance and stability by minimizing variable load effect.

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Kalman State Estimation and LQR Assisted Adaptive Control Of a Variable Loaded Servo System

Engineering, Technology & Applied Science Research ◽

10.48084/etasr.2708 ◽

2019 ◽

Vol 9 (3) ◽

pp. 4125-4130 ◽

Cited By ~ 1

Author(s):

O. Aydogdu ◽

M. L. Levent

Keyword(s):

Adaptive Control ◽

Control Method ◽

Controller Design ◽

Servo System ◽

Adaptive Controller ◽

Variable Load ◽

Performance Measurements ◽

Load Effect ◽

Lqr Control ◽

Control Work

This study actualized a new hybrid adaptive controller design to increase the control performance of a variable loaded time-varying system. A structure in which LQR and adaptive control work together is proposed. At first, a Kalman filter was designed to estimate the states of the system and used with the LQR control method which is one of the optimal control servo system techniques in constant initial load. Then, for the variable loaded servo (VLS) system, the Lyapunov based adaptive control was added to the LQR control method which was inadequate due to the constant gain parameters. Thus, it was aimed to eliminate the variable load effects and increase the stability of the system. In order to show the effectiveness of the proposed method, a Quanser servo module was used in Matlab-Simulink environment. It is seen from the experimental results and performance measurements that the proposed method increases the system performance and stability by minimizing noise, variable load effect and steady-state error.

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Reduced-Order Observer-Based Sliding Mode Control for Singular Markovian Jump System With Time-Varying Transition Rate

IEEE Transactions on Circuits and Systems I Regular Papers ◽

10.1109/tcsi.2018.2869162 ◽

2019 ◽

Vol 66 (2) ◽

pp. 796-809 ◽

Cited By ~ 11

Author(s):

Di Zhang ◽

Qingling Zhang

Keyword(s):

Sliding Mode Control ◽

Transition Rate ◽

Sliding Mode ◽

Time Varying ◽

Markovian Jump ◽

Reduced Order ◽

Markovian Jump System ◽

Mode Control ◽

Reduced Order Observer

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Reduced-order observer design for a class of generalized Lipschitz nonlinear systems with time-varying delay

Applied Mathematics and Computation ◽

10.1016/j.amc.2018.05.011 ◽

2018 ◽

Vol 337 ◽

pp. 267-280 ◽

Cited By ~ 2

Author(s):

Yuxia Yang ◽

Chong Lin ◽

Bing Chen ◽

Qing-Guo Wang

Keyword(s):

Nonlinear Systems ◽

Observer Design ◽

Time Varying ◽

Reduced Order ◽

Time Varying Delay ◽

Lipschitz Nonlinear Systems ◽

Reduced Order Observer ◽

Varying Delay

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Reduced-order observer-based consensus control of linear multi-agent systems over directed networks with nonuniform communication delays

Transactions of the Institute of Measurement and Control ◽

10.1177/0142331220934306 ◽

2020 ◽

pp. 014233122093430

Author(s):

Qiuzhen Wang ◽

Jiangping Hu ◽

Yiyi Zhao ◽

Bijoy Kumar Ghosh

Keyword(s):

Time Varying ◽

Communication Delays ◽

Multi Agent Systems ◽

Consensus Control ◽

Reduced Order ◽

Reduced Order Observer ◽

Multi Agent ◽

The Stability ◽

Output Information ◽

Theoretical Results

This paper considers a consensus control of a general linear multi-agent system with time-varying communication delays. Since each agent can only use the relative output information from its neighbors, a reduced-order observer-based control protocol is proposed to guarantee consensus on the directed communication network. The stability of the closed-loop system is analyzed for the cases with uniform delays and nonuniform time-varying delays, respectively. Moreover, the upper bounds of the communication delays are obtained respectively for the two cases. Finally, two numerical examples are provided to illustrate the proposed theoretical results.

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Multi-objective optimal control for EMS based on reduced order observer

2015 IEEE Magnetics Conference (INTERMAG) ◽

10.1109/intmag.2015.7156794 ◽

2015 ◽

Author(s):

C. Kim ◽

Y. Oh ◽

H. Hong

Keyword(s):

Optimal Control ◽

Reduced Order ◽

Multi Objective ◽

Reduced Order Observer

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Robust Functional Interval Observer for Multivariable Linear Systems

Journal of Dynamic Systems Measurement and Control ◽

10.1115/1.4043334 ◽

2019 ◽

Vol 141 (9) ◽

Author(s):

Luc Meyer

Keyword(s):

Linear System ◽

Linear Function ◽

Continuous Time ◽

State Vector ◽

Internal State ◽

Design Procedure ◽

Reduced Order ◽

Reduced Order Observer ◽

Interval Observer ◽

Interval Observers

The study of a continuous-time multivariable linear system may not need the knowledge of the entire internal state vector, but only of a linear function of it. In this case, instead of designing a complete observer, only a functional (also called reduced order) observer is used. In this field of research, this paper focuses on robust functional cooperative interval observers. Such an observer is proposed and its properties (in particular, its convergence) are established. Then, a design procedure is given for practical use. Finally, the theoretical contributions are illustrated in examples.

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