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A Symbolic-Numeric Approach to Multi-Parametric Programming for Control Design
Hirokazu Anai 제어로봇시스템학회 2009 제어로봇시스템학회 국제학술대회 논문집 Vol.2009 No.8
In this paper we propose a new method which enables us to obtain exact parametric solutions for multi-parametric programming problems, that is the optimal solutions as a function of the varying parameters, using symbolic quantifiere limination technique. The existing methods for multi-parametric programming are based on the sensitivity analysis theory and, in general produce approximate optimal solutions. Therefore usually there exist significant gaps between obtained numerical approximated solutions and exactones, in particular, for multi-parametric nonlinear pro-gramming. It is desired to resolve this issue. Our method based on symbolic computation will remedy this drawback.
A Maple toolbox for parametric robust control system design using symbolic computation
Norikc Hyodo,Hirokazu Anai,Shinji Hara 제어로봇시스템학회 2009 제어로봇시스템학회 국제학술대회 논문집 Vol.2009 No.8
Recently there has been an increasing interestin the application of computer algebra to control system analysis and design. Control system design is to find out feasible parameters to be designed for which a target system satisfies given control design specifications. Many important control system design problems are regarded as parametric and non-convex optimization problems. We have been developing a Maple tool box for robust control via a parameter space approach based on symbolic computation. First we explain how we can practically solve such control system design problems by using algebraic methods, quantifiere limination. Then we show an effective visualization of the result si.e. the feasible regions of design parameters in a parameter space. All these results are implemented as the Maple tool box for parametric robust control.