tilapalautteella

Tilapalautteella is a term used in control theory and systems engineering to describe a control strategy in which the control input is computed from the full state of the system. The approach relies on having access to or accurately estimating the entire state vector, rather than using only measured outputs. In Finnish technical literature, tilapalautteellinen ohjaus is commonly referenced when discussing state-feedback control methods.

Mathematically, a typical linear time-invariant plant is described by ẋ = Ax + Bu, y = Cx + Du, where x is the state, u the control input, and y the output. In a state-feedback law, the input is chosen as u = -Kx (or u = -Kx + r for a reference input), leading to closed-loop dynamics ẋ = (A − BK)x + Br. The design goal is often to place the eigenvalues of (A − BK) in desirable locations for stability and performance, or to minimize a quadratic cost, as in the Linear Quadratic Regulator (LQR) framework.

In practice, full state measurements are not always available, and a state observer (such as a Luenberger observer or a Kalman filter in stochastic settings) is used to estimate x̂ from outputs. The resulting scheme combines estimation with state feedback, sometimes termed dynamic state feedback.

Tilapalautteella is widely applied in robotics, aerospace, automotive control, and process industries, where fast and robust response is important. Its effectiveness depends on accurate system models and reliable state estimation, with sensitivity to model errors and measurement noise being key considerations. See also state feedback, pole placement, LQR, and state observers.