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Original Articles

Model reduction with balanced realizations

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Pages 33-64 | Received 05 Nov 1993, Published online: 24 Feb 2007

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Chongxin Huang, Kaifeng Zhang, Xianzhong Dai & Qiang Zang. (2013) Robust Load Frequency Controller Design Based on a New Strict Model. Electric Power Components and Systems 41:11, pages 1075-1099.
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N. Singh, R. Prasad & H.O. Gupta. (2008) Reduction of Power System Model Using Balanced Realization, Routh and Pade Approximation Methods. International Journal of Modelling and Simulation 28:1, pages 57-63.
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Andrey Yonchev & Kamen Perev. (2023) Model Predictive Control for a Synchronous Turbine Generator of Full and Reduced Order. Model Predictive Control for a Synchronous Turbine Generator of Full and Reduced Order.
Santosh Kumar Suman & Awadhesh Kumar. (2022) Investigation and Implementation of Model Order Reduction Technique for Large Scale Dynamical Systems. Archives of Computational Methods in Engineering 29:5, pages 3087-3108.
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Umair Zulfiqar, Xin Du, Qiuyan Song & Victor Sreeram. (2022) Three Frequency-limited Balanced Truncation Algorithms: A Comparison and Three Families of Extensions. Three Frequency-limited Balanced Truncation Algorithms: A Comparison and Three Families of Extensions.
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Wei TANG, Yu WANG, Jiawei GU & Zhiwei SUN. (2020) LPV modeling and controller design for body freedom flutter suppression subject to actuator saturation. Chinese Journal of Aeronautics 33:10, pages 2679-2693.
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Arvind Kumar Prajapati & Rajendra Prasad. (2019) A new model order reduction method for the design of compensator by using moment matching algorithm. Transactions of the Institute of Measurement and Control 42:3, pages 472-484.
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Shashi Pandey, Rahul Singh Yadav, Shashi Kant Chaudhary, K. G. Upadhyay & S. P. Singh. (2018) HANKEL NORM APPROXIMATION OF A HIGHLY UNSTABLE SYSTEM. HANKEL NORM APPROXIMATION OF A HIGHLY UNSTABLE SYSTEM.
Anurag Singh, Shekhar Yadav, Navdeep Singh & Kranthi Kumar Deveerasetty. (2018) Model Order Reduction of Power Plant System by Balanced Realization Method. Model Order Reduction of Power Plant System by Balanced Realization Method.
S Maraniello & R Palacios. (2018) State space realisation and model reduction of potential-flow aerodynamics for HAWT applications. Journal of Physics: Conference Series 1037, pages 022033.
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Peng Hang, Xinbo Chen, Shude Fang & Fengmei Luo. (2017) Robust control for four-wheel-independent-steering electric vehicle with steer-by-wire system. International Journal of Automotive Technology 18:5, pages 785-797.
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Shashi Kant Chaudhary & Awadhesh Kumar. (2017) Hankel norm approximation of a stable non-minimal system. Hankel norm approximation of a stable non-minimal system.
Shashi Kant Chaudhary & Awadhesh Kumar. (2017) Approximation to an unstable, MIMO waste water treatment plant. Approximation to an unstable, MIMO waste water treatment plant.
Sam-Sang You, Tae-Woo Lim, Joon-Young Kim & Hyeung-Sik Choi. (2016) Robust control synthesis for dynamic vessel positioning. Proceedings of the Institution of Mechanical Engineers, Part M: Journal of Engineering for the Maritime Environment 231:1, pages 98-108.
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Peng Hang, Xinbo Chen, Fengmei Luo & Shude Fang. (2017) Robust Control of a Four-Wheel-Independent-Steering Electric Vehicle for Path Tracking. SAE International Journal of Vehicle Dynamics, Stability, and NVH 1:2, pages 307-316.
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Santosh Kumar Verma & Shyam Krishna Nagar. (2016) Approximation and order reduction of fractional order SISO system. Approximation and order reduction of fractional order SISO system.
Shekhar Yadav, Santosh Kumar Verma & Shyam Krishna Nagar. (2016) Reduction and controller design for fractional order Spherical tank system using GWO. Reduction and controller design for fractional order Spherical tank system using GWO.
Deepak Kumar & Shyam Krishna Nagar. (2015) Frequency weighted square-root optimal Hankel norm model reduction. Frequency weighted square-root optimal Hankel norm model reduction.
Ravi Dutt Pal, Mithlesh Kumar & Deepak Kumar. (2014) Schur balanced approach for frequency weighted model reduction. Schur balanced approach for frequency weighted model reduction.
Ali Ameur Haj Salah, Kais Bouzrara, Tarek Garna & Hassani Messaoud. (2013) Controller order reduction techniques for loop shaping procedure. Controller order reduction techniques for loop shaping procedure.
Chongxin Huang, Kaifeng Zhang, Xianzhong Dai & Wenjie Tang. (2013) A modified balanced truncation method and its application to model reduction of power system. A modified balanced truncation method and its application to model reduction of power system.
Da-Wei Gu, Petko H. Petkov & Mihail M KonstantinovDa-Wei Gu, Petko H. Petkov & Mihail M. Konstantinov. 2013. Robust Control Design with MATLAB®. Robust Control Design with MATLAB® 73 91 .
Chongxin Huang, Kaifeng Zhang, Xianzhong Dai & Weixing Wang. (2012) Model reduction of power systems based on the balanced residualization method. Model reduction of power systems based on the balanced residualization method.
Pedro Rivotti, Romain S.C. Lambert & Efstratios N. Pistikopoulos. (2012) Combined model approximation techniques and multiparametric programming for explicit nonlinear model predictive control. Computers & Chemical Engineering 42, pages 277-287.
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Sam-Sang You, Hyeung-Sik Choi, Hwan-Seong Kim & Han-Il Park. (2011) Autopilot control synthesis for path tracking maneuvers of underwater vehicles. China Ocean Engineering 25:2, pages 237-249.
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Catherine Charbonnel. (2010) H?? Controller Design and m-Analysis: Powerful Tools for Flexible Satellite Attitude Control. H?? Controller Design and m-Analysis: Powerful Tools for Flexible Satellite Attitude Control.
A. Nobakhti & Hong Wang. (2009) Noniterative ${\cal H}_{\infty }$-Based Model Order Reduction of LTI Systems Using LMIs. IEEE Transactions on Control Systems Technology 17:2, pages 494-501.
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Emanuele Mazzi, Alberto Sangiovanni Vincentelli, Andrea Balluchi & Antonio Bicchi. (2008) Hybrid system reduction. Hybrid system reduction.
N. Singh, R. Prasad & H.O. Gupta. (2008) REDUCTION OF POWER SYSTEM MODEL USING BALANCED REALIZATION, ROUTH AND PADE APPROXIMATION METHODS. International Journal of Modelling and Simulation 28:1.
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Da-Wei Gu. 2007. Mathematical Methods for Robust and Nonlinear Control. Mathematical Methods for Robust and Nonlinear Control 289 327 .
S. K. Singh, S. K. Nagar & J. Pal. (2006) Balanced Realized Reduced Model of Non-Minimal System with DC Gain Preservation. Balanced Realized Reduced Model of Non-Minimal System with DC Gain Preservation.
Alberto Cardoso & Antonio Dourado. (2006) Supervision and fault-tolerant control: A robust model-based approach. Supervision and fault-tolerant control: A robust model-based approach.
Saleh Al-Takrouri & Zoran Gajic. (2005) DISCRETE SYSTEM ORDER-REDUCTION VIA BALANCING TRANSFORMATION USING SINGULAR PERTURBATIONS. IFAC Proceedings Volumes 38:1, pages 326-331.
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Sam-Sang YouSeok-Kwon Jeong. (2016) Automatic steering controllers for general lane-following manoeuvres of passenger cars using 2-DOF robust control synthesis. Transactions of the Institute of Measurement and Control 26:4, pages 273-292.
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Syh-Shiuh Yeh & Pau-Lo Hsu. (2004) Perfectly Matched Feedback Control and Its Integrated Design for Multiaxis Motion Systems. Journal of Dynamic Systems, Measurement, and Control 126:3, pages 547-557.
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S.K. Singh & S.K. Nagar. (2004) BSPA based H/sub 2//H/sub ∞/ controller reduction. BSPA based H/sub 2//H/sub ∞/ controller reduction.
Juergen Hahn & Thomas F. Edgar. (2002) An improved method for nonlinear model reduction using balancing of empirical gramians. Computers & Chemical Engineering 26:10, pages 1379-1397.
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Zoran Gajic & Muhidin Lelic. (2001) Improvement of system order reduction via balancing using the method of singular perturbations. Automatica 37:11, pages 1859-1865.
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Z. Gajic & M. Lelic. (2001) Refinement of balancing order reduction techniques using Kessler's formula. Refinement of balancing order reduction techniques using Kessler's formula.
Neil Munro. (2000) The Use of Symbolic Algebra in Control Engineering. IFAC Proceedings Volumes 33:24, pages 123-129.
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Z. Gajic & M. Lelic. (2000) Singular perturbation analysis of system order reduction via system balancing. Singular perturbation analysis of system order reduction via system balancing.
Ian Postlethwaite & Declan G. Bates. (1999) Robust Integrated Flight and Propulsion Controller for the Harrier Aircraft. Journal of Guidance, Control, and Dynamics 22:2, pages 286-290.
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H. Baki, N. Munro & M. Turan Soylemez. (1998) Model-order reduction using quasi-generalized singular perturbation method for the F16-aircraft model. Model-order reduction using quasi-generalized singular perturbation method for the F16-aircraft model.
C. Valentin & G. Duc. (1997) LMI-based algorithms for frequency weighted optimal H/sub 2/-norm model reduction. LMI-based algorithms for frequency weighted optimal H/sub 2/-norm model reduction.

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