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A new multivariate equation-error autoregressive moving average system with conditional heteroscedastic noise: Maximum likelihood identification

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DIGITAL SIGNAL PROCESSING 2021年 118卷 103213-103213页

作者： Hakimdavoodi, Hamidreza Amirmazlaghani, Maryam Amindavar, Hamidreza Amirkabir Univ Technol Dept Comp Engn Tehran Iran Amirkabir Univ Technol Dept Elect Engn Tehran Iran

The aim of this paper is to deal with the problem of conditional heteroscedastic noise in multivariate systems. In this regard, a new multivariate equation-error system with colored noise is introduced, in which the noise conditional variance varies with time and the noise exhibits a GARCH process. Thus, in this our new approach, both the time dependency and probability distribution of noise samples shall be identified. Based on the maximum likelihood principle and orthogonality of parameters, the problem of multivariate system identification is reduced into two separate maximum likelihood problems. An iterative algorithm is proposed, which can efficiently estimate the problem parameters based on gradient reduction and nonlinear optimization. Besides, a bootstrap algorithm is applied for assessing the accuracy of estimators. Also, some asymptotic result of proposed method in large sample size is provided. According to bootstrap simulation results, the proposed algorithm can effectively estimate the parameters of the system with conditional heteroscedastic noise and provides more accurate parameter estimates with a much lower confidence interval, compared to the least square method. (C) 2021 Elsevier Inc. All rights reserved.

关键词： multi-input multi-output system Time-varying conditional variance Parameter estimation Maximum likelihood GARCH process Bootstrapping

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multivariable Robust Proportional-Integral-Derivative Control for Linear Quadratic Compensation of a Class of Norm-Bounded Uncertain systems

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JOURNAL OF DYNAMIC systemS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME 2022年第10期144卷 101003-101003页

作者： Pradhan, Jatin Kumar Ghosh, Arun Veer Surendra Sai Univ Technol Dept Elect Engn Burla 768018 Sambalpur India Indian Inst Technol Dept Elect Engn Kharagpur 721302 W Bengal India

This paper is concerned with designing multi-input multi-output (MIMO) proportional-integral-derivative (PID) control having filtered derivative terms to achieve optimal linear quadratic performance for a class of linear uncertain MIMO systems with norm-bounded time-varying uncertainties. A necessary and sufficient condition for existence of the PID controller is obtained in terms of rank constrained linear matrix inequalities (LMIs). Using an existing penalty-function-based approximation for matrix rank minimization, an algorithm is proposed to solve these rank constrained LMIs and find PID gains. A suitable numerical example is considered to show the efficacy of the proposed approach in ensuring robust performance as compared to the existing ones. The proposed algorithm is also tested on several benchmark examples and found to be computationally much more efficient than some well-known methods.

关键词： multi-input multi-output system norm-bounded time-varying uncertainties PID control linear quadratic performance linear matrix inequalities

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Hyper-Plane Sliding Mode Control of Non-Minimum Phase Grid-Connected Zeta Converter 12

Hyper-Plane Sliding Mode Control of Non-Minimum Phase Grid-C...

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12th Power Electronics, Drive systems, and Technologies Conference (PEDSTC)

作者： Ebadpour, Mohsen Radmand, Fereshteh Islamic Azad Univ Ahar Branch Dept Elect Engn Ahar Iran Islamic Azad Univ Ardabil Branch Dept Elect Engn Ardebil Iran

ISBN: (纸本)9781665403665

In this paper, a hyper-plane sliding mode controller (SMC) is presented for regulate of dc-link voltage of the grid-connected Zeta converter along with control of ac current of the grid. To unified analyze of the system, averaged state- space model of the grid-connected Zeta converter is presented. Although from point of structure view, the system is seen as a single-input single-output system, based on control strategy, it is a multi-input multi-output (MIMO) system. Due to nonlinear characteristic of the converter and unstable-zero dynamic problem which lead to non-minimum phase of the capacitor voltages, hyper-plane SMC is used to indirect regulate of the dc-link voltage by inductors' currents. Therefore, by considering the nonlinear operation of the system, a two-stages controller based on unified model of the system is designed to insure the converter stability in wide range of output variables. To validate the performance of the presented controller, the system is simulated by MATLAB/Simulink software and results are shown to prove the controller accuracy.

关键词： Zeta converter sliding mode controller dc-link voltage multi-input multi-output system grid-connected inverter

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Stabilization and Adaptive output Tracking for MIMO systems with Distinct input Delays 21st

Stabilization and Adaptive Output Tracking for MIMO Systems ...

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21st IFAC World Congress on Automatic Control - Meeting Societal Challenges

作者： Nikiforov, Vladimir O. Gerasimov, Dmitry N. Paramonov, Aleksei, V ITMO Univ Kronverkskiy Av 49 St Petersburg 197101 Russia

In the paper the twofold problem of stabilization and output adaptive tracking is addressed for the class of multi-input multi-output (MIMO) linear time-invariant (LTI) unstable plants with known parameters, unmeasurable state, and known distinct input delays. The reference is represented by the vector of multi-harmonic time functions and is generated by an autonomous linear dynamic model (exosystem) with known order but unknown parameters. The amplitudes, phase shifts, and frequencies of the harmonics of these functions are unknown. The solution proposed is based on a robust predictor-feedback stabilizing control law, suitable parameterization of the tracking error, special implementation of the augmented error scheme, and direct adaptation algorithm providing asymptotic tracking without identification of the exosystem parameters. The stabilizing part of control palliates negative influence of distinct input delays. Regardless of the values of input delays, the adaptive control law designed ensures boundedness of all signals in the closed-loop system and drives the tracking error to zero. Copyright (C) 2020 The Authors.

关键词： Distinct input delays predictor-feedback stabilizing control adaptive output tracking multi-input multi-output system

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Stabilization and Adaptive output Tracking for MIMO systems with Distinct input Delays

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IFAC-PapersOnLine 2020年第2期53卷 4780-4785页

作者： Vladimir O. Nikiforov Dmitry N. Gerasimov Aleksei V. Paramonov ITMO University Kronverkskiy av. 49 Saint Petersburg 197101 Russia

关键词： Distinct input delays predictor-feedback stabilizing control adaptive output tracking multi-input multi-output system

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A Switching Control Strategy for multi-input Aero-engine systems 38

A Switching Control Strategy for Multi-input Aero-engine Sys...

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38th Chinese Control Conference (CCC)

作者： Chen, Chao Long, Lijun Li, Linghan Mao, Xiaoqi AECC Shenyang Engine Res Inst Shenyang 110015 Peoples R China Northeastern Univ Coll Informat Sci & Engn Shenyang 110819 Peoples R China Northeastern Univ State Key Lab Synthet Automat Proc Ind Shenyang 110819 Peoples R China

ISBN: (纸本)9789881563972

This paper studies the multi-objective control design problem for the aero-engines. A novel switching control strategy is proposed to achieve the trade-off between safety and response performance for aero-engines. multiple control inputs are considered simultaneously to make full use of potential of the engine. Control design thus becomes complicated. Applying the descriptor linear system theory and the linear quadratic regulator technique, we design the safety protection controllers for the limited outputs. Simulation results of a two-spool turbofan aero-engine verify the effectiveness of the proposed switching control strategy, and indicate that the proposed scheme brings improvement on both safety and transient performance.

关键词： Switching control multi-input multi-output system safety protection control for aero-engines descriptor linear system linear quadratic regulator

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Helicopter Hovering Control Design based on Model Reference Adaptive Method 3

Helicopter Hovering Control Design based on Model Reference ...

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IEEE 3rd Information Technology, Networking, Electronic and Automation Control Conference (ITNEC)

作者： Sun, Li Shan Dong Xiehe Coll Coll Mech & Elect Engn Jinan Shandong Peoples R China

ISBN: (纸本)9781538662434

To study the dynamic characteristics of 3-DOF experimental teaching helicopter model , the mathematical model of small-sized 3-DOF helicopter system is set up. The movement of helicopter includes three parts of elevation ax-is, pitch axis and travel axis, and their dynamic functions are set up. To solve the hovering control problem, a model-reference adaptive control system is designed based on Lyapunov stability theory. Simulation results show the designed control system can satisfy the dynamic and steady properties , and provide a reference for designing other control systems.

关键词： 3-DOF helicopter system model-reference adaptive control hovering control multi-input multi-output system

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PSO based parameter estimation and PID controller tuning for 2-DOF nonlinear twin rotor MIMO system

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INTERNATIONAL JOURNAL OF AUTOMATION AND CONTROL 2018年第4期12卷 582-609页

作者： Maiti, Roshni Das Sharma, Kaushik Sarkar, Gautam Univ Calcutta Dept Appl Phys Kolkata India

The present paper proposes a control methodology for a nonlinear multi-input multi-output (MIMO) system that combines a stochastic optimisation and proportional-integral-differential (PID) control scheme. This methodology is demonstrated through a laboratory scale helicopter setup commonly known as the twin rotor MIMO system (TRMS). The objective is to design a stochastically optimal/near optimal control law that can simultaneously stabilise the TRMS with considerable cross-couplings and provide satisfactory tracking performance to reach a desired position. The proposed control methodology utilises two PID controllers independently employed for the two rotors of TRMS. A PSO based parameter estimation technique has been utilised in this paper to estimate the parameters of the nonlinear TRMS laboratory setup. The nonlinear TRMS model with estimated parameters is employed to tune the PID gains by means of PSO in an offline manner and then implemented in real-life experimentations. The proposed realisation of PID control strategy is implemented for both simulation and real-life experimentations and their results demonstrate the usefulness of the proposed methodology.

关键词： multi-input multi-output system MIMO twin rotor MIMO system TRMS proportional-integral-derivative controller PID parameter estimation

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Low-Complexity Decoder Based on Conditional ML for QOSTBC

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IEEE COMMUNICATIONS LETTERS 2018年第8期22卷 1548-1551页

作者： Nassaji, Ehsan Almasi, Mojtaba Ahmadi Fardad, Mohammad Iran Univ Sci & Technol Dept Elect Engn Tehran *** Iran Boise State Univ Dept Elect & Comp Engn Boise ID 83725 USA Shahid Beheshti Univ Dept Elect & Comp Engn Tehran *** Iran

In this letter, we present a new decoder for quasi-orthogonal space-time block code (QOSTBC) based on conditional maximum-likelihood (ML) decoder. The proposed decoder results in the decoding complexity of 0(/) ), where L is the constellation size. In addition, by decomposing the real and imaginary components of the received signals, we further reduce the complexity of the decoder. Unlike many of previous decoders proposed for QOSTBC, our decoder is compatible with any complex-valued constellation such as quadrature amplitude modulation. Furthermore, the advantage of the proposed decoder with respect to other decoders is analyzed in terms of preprocessing and detection complexity. The simulation results show the identical bit error rate performance of the proposed and conventional ML decoder.

关键词： Quasi-orthogonal space-time code conditional ML decoder multi-input multi-output system bit error rate

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Perfect Tracking Control Considering Generalized Controllability Indices and Application for High-Precision Stage in Translation and Pitchinge

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IEEJ JOURNAL OF INDUSTRY APPLICATIONS 2019年第2期8卷 263-270页

作者： Mae, Masahiro Ohnishi, Wataru Fujimoto, Hiroshi Hori, Yoichi Univ Tokyo Grad Sch Frontier Sci Dept Adv Energy 5-1-5 Kashiwanoha Kashiwa Chiba 2278561 Japan Univ Tokyo Grad Sch Engn Dept Elect Engn & Informat Syst 5-1-5 Kashiwanoha Kashiwa Chiba 2278561 Japan Univ Tokyo 5-1-5 Kashiwanoha Kashiwa Chiba 2278561 Japan Univ Tokyo Dept Elect Engn 5-1-5 Kashiwanoha Kashiwa Chiba 2278561 Japan Univ Tokyo Grad Sch Frontier Sci Inst Ind Sci Informat & Syst Div 5-1-5 Kashiwanoha Kashiwa Chiba 2278561 Japan

High-precision stages are widely used for manufacturing semiconductors and flat panels. These high-precision stages have become multi-input multi-output (MIMO) systems with six-degrees-of-freedom (DOF);hence, the coupling between the translation and pitching motion deteriorates the control performance. This study proposes the multirate feedforward control for MIMO systems and applies it to these high-precision stages. The multirate feedforward control designs the stable inversion for the unstable discretization zero problem. In addition, the design of the MIMO multirate feedforward controllers has a degree of freedom to design the B matrix according to the selection of the generalized controllability indices. In conventional control methods such as precompensated decoupling controllers, it is theoretically impossible to achieve perfect tracking because unstable discretization zeros are generated. In this study, the proposed method is applied to the translation and pitching motion of a high-precision stage, and it achieves perfect tracking in the simulation. The effectiveness of the proposed method is verified experimentally.

关键词： multirate feedforward multi-input multi-output system high-precision stage

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