In this paper a state-space average model for boost switching regulators is presented. The presented model includes the most of the regulator’s parameters and uncertainties. This model can be used to design a precise and robust controller that can satisfy stability and performance conditions. In modeling, the load current is assumed to be unknown, and it is assumed that the inductor, capacitor, diode and regulator active switch are non ideal and they have a resistance in conducting condition. Other non ideal effects are also considered. After presenting the complete model, the boost converter Benchmark circuit is simulated in PSpice and its results are compared with our model simulation results in MATLAB.

ABSTRACT

The dynamics of fractional-order systems have attracted increasing attention in recent years. In this paper a novel fractional-order hyperchaotic system with a quadratic exponential nonlinear term is proposed and the synchronization of a new fractional-order hyperchaotic system is discussed. The proposed system is also shown to exhibit hyperchaos for orders 0.95. Based on the stability theory of fractional-order systems, the generalized backstepping method (GBM) is implemented to give the approximate solution for the fractional-order error system of the two new fractional-order hyperchaotic systems. This method is called GBM because of its similarity to backstepping method and more applications in systems than it. Generalized backstepping method approach consists of parameters which accept positive values. The system responses differently for each value. It is necessary to select proper parameters to obtain a good response because the improper selection of parameters leads to inappropriate responses or even may lead to instability of the system. Genetic algorithm (GA), cuckoo optimization algorithm (COA), particle swarm optimization algorithm (PSO) and imperialist competitive algorithm (ICA) are used to compute the optimal parameters for the generalized backstepping controller. These algorithms can select appropriate and optimal values for the parameters. These minimize the cost function, so the optimal values for the parameters will be found. The selected cost function is defined to minimize the least square errors. The cost function enforces the system errors to decay to zero rapidly. Numerical simulation results are presented to show the effectiveness of the proposed method.

This paper presents a new time-domain design procedure for three-stage amplifiers with reversed nested Miller compensation (RNMC). By utilizing this method, the values of the compensation capacitors are properly selected to achieve the best settling time. To demonstrate the effectiveness of the proposed method, a three-stage amplifier is designed and simulated in a 1V, 90nm CMOS technology. Simulation results show that by using this method, the settling time of the threestage amplifier is approximately halved in comparison with the conventional approaches.

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