Numerical determination of quadratic-optimal regulator for linear systems with constraints

• Autorzy: Cvejn J.
• Języki publikacji: EN

Abstrakty

EN

The paper describes a way of determination of quadratic-optimal regulator for linear continuous and discrete systems with constraints. The method is based on direct numerical minimization of the quadratic criterion expressing the quality of control. Constant regulator matrix, independent on the starting state, is obtained as a result. Due to the constraints the optimal regulator however depends on initial state. Therefore, the problem formulation was modified by using an extended criterion of optimality that guarantees quality behavior for any initial state within a given set.

Słowa kluczowe

EN

quadratic optimal regulators; control of linear systems; optimal control with constraints; criterion functions; optimization problems

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2004
• Tom: Vol. 14, no. 3/4
• Strony: 231--246
• Opis fizyczny: Bibliogr. 7 poz., rys.

Twórcy

autor

Cvejn J.

• Technical University of Liberec, Faculty of Mechatronics and Interdisciplinary Engineering Studies, Halkova 6, 461-17 Liberec, Czech Republic,

Bibliografia

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• [4] M. Marcus and H. Minc: A Survey of Matrix Theory and Matrix Inequalities. Dover Publications, 1969.
• [5] C. E. Garcia, D. M. Prett and M. Morari: Model Predictive Control: Theory and Practice-A Survey. Automatica, No. 25, (1989), 335-348
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• [7] R. Storn and K. Price: Differential Evolution - a Simple and Efficient Heuristics for Global Optimization over Continuous Spaces. Journal of Global Optimization, No. 11, (1997), 341-359.