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SYNTHESIS OF POLYNOMIAL CONTROL LAWS FOR CONTINUOUS DYNAMIC OBJECTS

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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.

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