In this paper, we treat 2 dimensional systems or systems which can be approximated as 2 dimensional systems. We will propose a PI control scheme of a servo system design that gives the shortest M% settling time and satisfies a percent overshoot requirement for an assigned M. The usefulness of the proposing method is demonstrated through examples.
This research is concerned with a bifurcation analysis of a stochastic predator-prey system. The P-bifurcation (Phenomenological bifurcation) and the D-bifurcation (Dynamical bifurcation) are major analytical methods for the stochastic bifurcation. The P-bifurcation studies a stationary measure corresponding to the one-point motion, while the D-bifurcation approach is based on the stability of invariant measures. Since the P-bifurcation is based on the one point-motion, there is a possibility to miss certain branches in bifurcation. So, we study the bifurcation of the stochastic predator-prey system with help of the D-bifurcation, and analyze the influence of the random noise on the bifurcation phenomena in the proposed stochastic model.
This paper considers circle fitting problems by an averaging consensus algorithm of multi-agent systems. We propose a distributed approach where each agent arranged in a plane estimates a circle that minimizes the algebraic or geometric distance to all agents. The simulation result shows that the proposed circle fitting can find the optimal circle by the distributed consensus algorithm.
This paper addresses the design problem of fixed-structure dynamic quantizers for discrete-valued input control. The problem is to find a dynamic quantizer when the dimension and the decentralized structure of quantizer are given as design specifications. In this paper, we first formulate a quantizer design problem under constraint conditions such as stability and input saturation. Then, for getting a solution to the problem, we provide a simple and useful design method with a particle swarm optimization which is one of evolutionary algorithms. Finally, we verify that the proposed method gives satisfactory fixed-structure dynamic quantizers, by several numerical examples.