quadratic performance index

quadratic performance index

[kwä′drad·ik pər′for·məns ‚in‚deks]
(control systems)
A measure of system performance which is, in general, the sum of a quadratic function of the system state at fixed times, and the integral of a quadratic function of the system state and control inputs.
References in periodicals archive ?
Here we obtain the optimal quadratic performance index consisting of tracking errors and control input.
According to the dynamic model of the AUVs heading control system (6), we select the following average quadratic performance index:
The optimal control problem is to search for a control law [u.sup.*](t) for system (6), which makes the value of the average quadratic performance index (16) minimum.
Given a continuous-time switched system whose dynamics are governed by (1) and (2) for a fixed time interval [[t.sub.0],[t.sub.j]], the objective is to find the continuous control u* and the switching instants [t.sup.*.sub.k] that minimize the quadratic performance index
Then the state-dependent Riccati equation was presented for an affine nonlinear system and finite horizon quadratic performance index. Finally the designed performance controller has been measured by defining various scenarios.
To minimize both the state and control signals of the feedback control system, a quadratic performance index is minimized:
A unique tuning strategy that makes use of a weighted quadratic performance index to compute controller output change is used to help achieve improved control performance.
The problem would be to find an optimal control w(t) satisfying (14) while minimizing the quadratic performance index as follows:
The design process was simplified by introducing a quadratic performance index with corresponding input delay in [24].
In the case when G is asymptotically stable, the quadratic performance index is
For (17), let v = [v.sub.0] and [v.sub.0] can minimize the quadratic performance index as follows: