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High Quality Content by WIKIPEDIA articles! T-Integration is a numerical integration technique developed by Jon Michael Smith to facilitate simulating and controlling aircraft, space craft and similar computer controlled dynamic systems. Short for "Tunable Numerical Integration", it is a fixed-step iteration formula whose integrand can be adjusted in phase and amplitude. T-Integrators all have phase and gain adjustable parameters that are similar to phase and gain adjustable parameters in modern aircraft autopilots. The simplest version of the T-Integrator algorithm is as follows: Let f(x) denote the integrand and P and G the phase and gain parameters. Furthermore, the left-hand side limit of the integral is denoted by x0 and x is the step size. What is amazing about the T-Integrator is that there are a unique pair of P and G that is ideal for exact simulation of a given linear system. Usually, they are not any of the classical numerical integrators. Since there are an infinity of P and G values (not just the integer values shown above) the T-Integration formula contains an infinity of integrators for use in control and simulation systems.
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