Control and estimation of fuzzy systems

Guaranteed cost control and estimation of fuzzy systems are obtained by the method of fuzzy dynamic programming. Three types of models are selected to describe the fuzzy systems: 1. Systems with uncertain parameters. 2. Systems with Donati´s approximation in the norm. 3. Systems with extended approximation in the norm. In the latter two cases, minimax control is generally obtainable, and is shown to be the guaranteed cost control with lowest guaranteed cost. Using the concept of most likely estimation the estimation problem is formulated into a similar variational problem, and is solved by essentially the same analysis.