Computation of optimal feedback gains for time-varying LQ optimal control

A computational method is proposed to compute the optimal feedback control law of time-varying linear quadratic optimal control problem. The idea of the method is to use Chebyshev polynomials of the first type and their differentiation operational matrix to solve the matrix Riccati equation. To show...

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Bibliographic Details
Main Authors: Jaddu, H., Shimemura, E.
Format: Conference Proceeding
Language:English
Subjects:
Chebyshev approximation
Computational modeling
Differential equations
Feedback control
Finite wordlength effects
Information science
Optimal control
Polynomials
Riccati equations
Transforms
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Summary:A computational method is proposed to compute the optimal feedback control law of time-varying linear quadratic optimal control problem. The idea of the method is to use Chebyshev polynomials of the first type and their differentiation operational matrix to solve the matrix Riccati equation. To show the effectiveness of the proposed method, the simulation result of an example is shown.
ISSN:0743-1619
2378-5861
DOI:10.1109/ACC.1998.688429