Fuzzy pole placement based on piecewise Lyapunov functions. (English) Zbl 1185.93056
Summary: This paper presents a controller design method for fuzzy dynamic systems based on piecewise Lyapunov functions with constraints on the closed-loop pole location. The main idea is to use switched controllers to locate the poles of the system to obtain a satisfactory transient response. It is shown that the global fuzzy system satisfies the requirements for the design and that the control law can be obtained by solving a set of linear matrix inequalities, which can be efficiently solved with commercially available softwares. An example is given to illustrate the application of the proposed method.
MSC:
| 93B55 | Pole and zero placement problems |
| 93C42 | Fuzzy control/observation systems |
| 93D30 | Lyapunov and storage functions |
Keywords:
fuzzy systems; linear matrix inequalities; pole placement; piecewise linear systems; piecewise Lyapunov functionsReferences:
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