Title
Minimal Multi-Functional Observers For Linear Systems Using A Direct Approach
Abstract
The direct approach in designing functional observers was first presented in [1] for estimating a single function of the states of a Linear Time-Invariant (LTI) system. One of the benefits of the direct scheme is that it does not require solving the interconnected Sylvester equations that appear in the other observer design approaches. In the present paper, the direct approach is extended to reconstruct multiple functions of the states in such a way that the minimum possible order of the observer is achieved. The observer is designed so that an asymptotic functional observer can be obtained with arbitrary convergence rate. In the proposed methodology, it is not necessary that a reduced order observer exists for the desired functions to be estimated. To release this limitation, an algorithm is employed to find some auxiliary functions in the minimum required number to be appended to the desired functions. This method assumes that the system is functional observable. This assumption however is less restrictive than the observability and detectability conditions of the system. A numerical example and simulation results explain the efficacy and the benefits of the proposed algorithm.
Year
Venue
Keywords
2015
2015 IEEE CONFERENCE ON CONTROL AND APPLICATIONS (CCA 2015)
functional observers, functional observability/detectability, Sylvester equation, generalized inverse
Field
DocType
ISSN
State observer,Alpha beta filter,Observability,Sylvester equation,Linear system,Control theory,Computer science,Control engineering,Auxiliary function,Rate of convergence,Observer (quantum physics)
Conference
1085-1992
Citations 
PageRank 
References 
0
0.34
0
Authors
3
Name
Order
Citations
PageRank
Reza Mohajerpoor1535.93
Hamid Abdi27512.41
Saeid Nahavandi31545219.71