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Numerical Algebra, Control and Optimization (NACO)
 

SISO H-Optimal synthesis with initially specified structure of control law

Pages: 121 - 138, Volume 7, Issue 2, June 2017      doi:10.3934/naco.2017009

 
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Evgeny I. Veremey - Faculty of Applied Mathematics and Control Processes, Saint-Petersburg State University, Saint Petersburg, 199034, Russian Federation (email)
Vladimir V. Eremeev - Faculty of Applied Mathematics and Control Processes, Saint-Petersburg State University, Saint Petersburg, 199034, Russian Federation (email)

Abstract: The paper is devoted to particular cases of H-optimization problems for LTI systems with scalar control and external disturbance. The essence of these problems is to find an output feedback optimal controller having initially given structure to attenuate disturbances action with respect to controlled variable and control. An admissible set of controllers can be additionally restricted by the requirement to assign given poles spectrum of the closed-loop system. Specific features of the posed problems are considered and three simple numerical methods of synthesis are proposed to design correspondent H-optimal controllers. To show the simplicity and effectiveness of the proposed approach and the benefits of developed methods, illustrative examples are enclosed to the paper.

Keywords:  LTI system, optimal synthesis, controller, stability, H-optimization, feedback.
Mathematics Subject Classification:  Primary: 58F15, 58F17; Secondary: 53C35.

Received: June 2016;      Revised: May 2017;      Available Online: June 2017.

 References