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Differential equation is a useful way to describe nonlinear systems. In general, integration is used to solve them, which is a forward method using current information to get the future information. In some special occasions where the system has a fix final condition and a free initial condition, a new kind of integration method with a backward direction is needed. This paper presents a new kind of...
Optimal maneuvering opportunity calculation of ballistic missile is a complicated optimum programming in nonlinear system which need compute trajectories of maneuvering and interception missiles simultaneity, and the requirement of precision and efficiency can not be ignored, so traditional algorithms such as enumeration and heuristic method can not satisfy the requirement because of the low efficiency...
An Adaptive Fuzzy PID Controller with Genetic Algorithm (GA) to tune its parameters is proposed by this paper. The task of the controller is to track the trajectory of a nonlinear system as best as it could. The Lyapunov's direct method is used as a tool for nonlinear system analysis and design. In which, the Lyapunov's linearization method is proven here to be useful for linear control. The paper...
In this paper, we study the asymptotic tracking and disturbance rejection problem for a class of uncertain nonlinear lower triangular systems subject to an uncertain exosystem. The same problem was studied before for the same class of systems with the objective of asymptotic tracking only. By utilizing a newly developed robust adaptive controller design approach, we are able to simultaneously handle...
We consider a stabilization problem of approximately feedback linearizable systems. We introduce a perturbation parameter by applying high-gain feedback and use both the feedback linearization method and the singular perturbation method for the controller design. Through this, we can overcome the rigorous conditions of the feedback linearization method and can reduce the dimension of the slow model...
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