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- Title
Optimal Performance in Tracking Stochastic Signal Under Disturbance Rejection.
- Authors
Zhan, Xi-Sheng; Guan, Zhi-Hong; Liao, Rui-Quan; Yuan, Fu-Shun
- Abstract
The analysis method of optimal tracking performance is proposed for multiple-input multiple-output ( MIMO) linear time-invariant ( LTI) systems under disturbance rejection. An H2 criterion of the error signal between the output of the plant and the reference signal is used as a measure for the tracking performance. Spectral factorization is applied to obtain the optimal solution of the system tracking error. The explicit expressions are derived for this minimal tracking error with respect to random reference signals under disturbance rejection. It is shown that the nonminimum phase zeros, the zero direction, the unstable poles, the pole direction of a given plant, statistical characteristics of the reference input signal, and disturbance signal have a negative effect on a feedback system's ability to reduce the system error with disturbance rejection. The results show that the optimal tracking performance will further be damaged because of disturbance rejection. Some typical examples are given to illustrate the theoretical results.
- Subjects
PERFORMANCE evaluation; STOCHASTIC systems; MIMO systems; LINEAR systems; SIGNAL processing; TRACKING control systems; FEEDBACK control systems
- Publication
Asian Journal of Control, 2012, Vol 14, Issue 6, p1608
- ISSN
1561-8625
- Publication type
Article
- DOI
10.1002/asjc.494