Optimal Sliding Mode Controllers for Attitude Stabilization of Flexible Spacecraft | Zendy

Chutiphon Pukdeboon | Zendy

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Optimal Sliding Mode Controllers for Attitude Stabilization of Flexible Spacecraft

Author(s) -

Chutiphon Pukdeboon

Publication year - 2011

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2011/863092

Subject(s) - control theory (sociology) , attitude control , sliding mode control , lyapunov function , optimal control , quaternion , riccati equation , spacecraft , nonlinear system , convergence (economics) , inertia , integral sliding mode , controller (irrigation) , computer science , lyapunov stability , mathematics , control (management) , control engineering , engineering , mathematical optimization , differential equation , physics , artificial intelligence , aerospace engineering , economic growth , mathematical analysis , biology , geometry , classical mechanics , quantum mechanics , agronomy , economics

The robust optimal attitude control problem for a flexible spacecraft is considered. Two optimal sliding mode control laws that ensure the exponential convergence of the attitude control system are developed. Integral sliding mode control (ISMC) is applied to combine the first-order sliding mode with optimal control and is used to control quaternion-based spacecraft attitude manoeuvres with external disturbances and an uncertainty inertia matrix. For the optimal control part the state-dependent Riccati equation (SDRE) and optimal Lyapunov techniques are employed to solve the infinite-time nonlinear optimal control problem. The second method of Lyapunov is used to guarantee the stability of the attitude control system under the action of the proposed control laws. An example of multiaxial attitude manoeuvres is presented and simulation results are included to verify the usefulness of the developed controllers

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