Mixed H2/H∞ cruise control of high speed train via linear matrix inequalities

Ciann Dong Yang; Yun Ping Sun

Mixed H₂/H_∞ cruise control of high speed train via linear matrix inequalities

Department of Aeronautics and Astronautics

Research output: Contribution to journal › Article › peer-review

Abstract

We consider the cruise control problem of the push-pull driven type high speed train in which the couplers are characteristic of nonlinear softening spring. The longitudinal dynamics of high speed train with the nonlinear couplers is linearized as the nominal mass-spring system with an variation of stiffness coefficient so that we may apply the Linear Matrix Inequalities (LMI) approach to synthesize the mixed H₂/H_∞ cruise controller. Nonlinear simulation results show that this mixed H₂/H_∞ optimal design lead designers into a flexible trade-off between H₂ and H_∞ objectives. By choosing the H_∞, performance bound, properly, designers can determine the desired cruise controller that gives satisfactory performances of command tracking as well as wind gust attenuation for high speed train.

Original language	English
Pages (from-to)	79-85
Number of pages	7
Journal	Zhongguo Hangkong Taikong Xuehui Huikan/Transactions of the Aeronautical and Astronautical Society of the Republic of China
Volume	33
Issue number	2
Publication status	Published - 2001 Jun

All Science Journal Classification (ASJC) codes

Aerospace Engineering

Cite this

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abstract = "We consider the cruise control problem of the push-pull driven type high speed train in which the couplers are characteristic of nonlinear softening spring. The longitudinal dynamics of high speed train with the nonlinear couplers is linearized as the nominal mass-spring system with an variation of stiffness coefficient so that we may apply the Linear Matrix Inequalities (LMI) approach to synthesize the mixed H2/H∞ cruise controller. Nonlinear simulation results show that this mixed H2/H∞ optimal design lead designers into a flexible trade-off between H2 and H∞ objectives. By choosing the H∞, performance bound, properly, designers can determine the desired cruise controller that gives satisfactory performances of command tracking as well as wind gust attenuation for high speed train.",

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Mixed H₂/H_∞ cruise control of high speed train via linear matrix inequalities

Abstract

All Science Journal Classification (ASJC) codes

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