The Popov invariants are used to define two matrices M^B and /(As, which describe the properties of a system ~ = Ax + Bu in a basis-independent form. Also a control system with state feedback K and nonsingular input transformation M, :~ = (A -BK)x + BMw = Fx + Gw, can be uniquely specified by the co
On the synthesis of suboptimal, inertia-wheel attitude control systems
โ Scribed by W.L. Garrard; L.G. Clark
- Publisher
- Elsevier Science
- Year
- 1969
- Tongue
- English
- Weight
- 707 KB
- Volume
- 5
- Category
- Article
- ISSN
- 0005-1098
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โฆ Synopsis
Techniques for synthesizing systems using motor-driven inertia wheels for threedimensional spacecraft attitude control are presented which approximately minimize a quadratic index of performance and compensate for non-linear inter-axis coupling due to the inertia-wheels.
Summary--Two techniques are presented for the synthesis of suboptimal systems using motor-driven inertia wheels as the source of torque for three-dimensional attitude control. These techniques approximately minimize the integral of a quadratic function of system error and control effort, and both procedures compensate for non-linear inter-axis coupling. The techniques developed in this paper are applied to the design of attitude control systems for two typical artificial satellites. The resulting control laws are in feedback form. In a computer simulation, systems designed on the basis of the procedures developed are shown to respond faster and more accurately than those designed by optimization procedures based on linearized approximations of the equations of motion or by conventional transform methods.
๐ SIMILAR VOLUMES
Some necessary and sufficient conditions are found for the existence of the optimal control for systems with a singular mean-square performance index. Optimal control is obtained by the use of pseudo-inverse. The asymptotic behavior of sub-optimal control is also studied.