On Controllability and Observability of Fuzzy Dynamical Matrix Lyapunov Systems
We provide a way to combine matrix Lyapunov systems with fuzzy rules to form a new fuzzy system called fuzzy dynamical matrix Lyapunov system, which can be regarded as a new approach to intelligent control. First, we study the controllability property of the fuzzy dynamical matrix Lyapunov system an...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2008-01-01
|
| Series: | Advances in Fuzzy Systems |
| Online Access: | http://dx.doi.org/10.1155/2008/421525 |
| Summary: | We provide a way to combine matrix Lyapunov systems
with fuzzy rules to form a new fuzzy system called fuzzy dynamical matrix
Lyapunov system, which can be regarded as a new approach to intelligent
control. First, we study the controllability property of the fuzzy dynamical
matrix Lyapunov system and provide a sufficient condition for its controllability
with the use of fuzzy rule base. The significance of our result is that given
a deterministic system and a fuzzy state with rule base, we can determine the
rule base for the control. Further, we discuss the concept of observability and
give a sufficient condition for the system to be observable. The advantage of
our result is that we can determine the rule base for the initial value without
solving the system. |
|---|---|
| ISSN: | 1687-7101 1687-711X |