DOI 10.17586/0021-3454-2017-60-5-398-403
UDC 681.51
SYNTHESIS OF POLYNOMIAL CONTROL LAWS FOR CONTINUOUS DYNAMIC OBJECTS
ITMO University, Saint Petersburg, 197101, Russian Federation; Associate professor
V. V. Grigoriev
ITMO University, Saint Petersburg, 197101, Russian Federation; Professor
O. K. Mansurova
University of Mines, Department of Technological Process Automation and Production; Associate Professor
I. M. Pershin
North Caucasus Federal University, Pyatigorsk Institute; Department of Control in Technical and Biomedical Systems; Professor, Head of the Department
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Abstract. For continuous linear dynamic objects with a single inlet and outlet, a procedure of synthesis of polynomial (linear-quadratic) control laws is developed. The use of these control laws can improve the speed of convergence processes for large deviations while maintaining quality indicators processes for small deviations. Synthesis of control laws is based on the use of methods of optimal control theory by solving the Riccati type equation. The control laws are proved not to violate the asymptotic or exponential stability property depending on the type of stability adopted in design.
Keywords: linear quadratic control laws, optimality criteria, exponential stability, Riccati and Lyapunov matrix equations
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