We deal with an optimal control problem of the Bolza type, where the controlled system is governed by a generalized sweeping process, which is a special differential inclusion with discontinuous right-hand side. Employing a suitable constraint qualification, we restate the problem using distance functions and use the fuzzy sum rule to obtain fuzzy optimality conditions. Furthermore, we derive p...

 In almost all cases, the goal of the design of automatic control systems is to obtain the parameters of the controllers, which are described by differential equations. Takagi-Sugeno (T-S) fuzzy models can perfectly represent the nonlinear system. In general, the controller is artificially built and it is possible to update its initial conditions. In the design of optimal quadratic regulators,...

This paper deals with the problem of control of deterministic, stochastic and fuzzy systems with a fixed termination time and fuzzy constraints imposed on controls and states. Constrains imposed on the system are given as membership functions of particular fuzzy sets. Transition functions for controlled systems are given as a matrix of transitions between states for a deterministic object, a ma...

this paper describes an advantageous method for using the capacitor banks in the distribution network, optimally. the aim is to determine the count, location and capacitor values in order to minimize the annual cost resulting from energy losses and capacitor bank’s installation cost. besides, in the case of having nonlinear loads in the network, by installing capacitors in appropriate locations...

introduction: epilepsy is a clinical syndrome in which seizures have a tendency to recur. sodium valproate is the most effective drug in the treatment of all types of generalized seizures. finding the optimal dosage (the lowest effective dose) of sodium valproate is a real challenge to all neurologists. in this study, a new approach based on adaptive neuro-fuzzy inference system (anfis) was pre...

This chapter deals with the design of a Fuzzy Logic Controller based Optimal Linear Quadratic Regulator (FC-LQR) for the control of a robotic system. The main idea is to design a supervisory fuzzy controller capable to adjust the controller parameters in order to obtain the desired axes positions under variations of the robot parameters and payload variations. In the advanced control of robotic...

In this paper, we propose a systematic and theoretically sound way to design a global optimal discrete-time fuzzy controller to control and stabilize a nonlinear discrete-time fuzzy system with finite or infinite horizon (time). A linear-like global system representation of discrete-time fuzzy system is first proposed by viewing a discrete-time fuzzy system in global concept and unifying the in...