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A nonlinear controller is designed for a L2 formation flying control system, and robust stability is investigated for the closed-loop system with uncertainties. The L2 formation flying is modeled as a second-order quasi-linear parameter-varying model, which is obtain from the nonlinear formation flying model with Barbashin method by including explicit dependence of the dynamic derivatives on states...
This paper presents the stability analysis of polynomial fuzzy-model-based (PFMB) control system, formed by a polynomial fuzzy model and a fuzzy controller connected in a closed loop, using sum-of-squares (SOS) approach. Unlike the published work, the PFMB control system is not required that the polynomial fuzzy controller shares the same premises membership functions as those of the polynomial fuzzy...
Eigenvalue assignment method based on standard characteristic polynomial is proposed in order to resolve the uncertainty of ideal eigenvalue choice in modern control theory and the difficultly in engineering implementation of modern control system design methods. Mathematical solving process of the method is given. There is only one design parameter which is easy to calculate. We can choose the parameter...
This paper deals with a design problem of non-minimum phase systems with input constraints and unknown disturbance using the adaptive robust anti-windup generalized predictive control (RAGPC) scheme. In essence non-minimum phase systems are characterized by presence of dead time and invariably has unstable inverse. This effect is not desirable in control processes especially when problems of static...
This paper presents the stability analysis of polynomial fuzzy-model-based control systems, formed by a polynomial fuzzy model and a fuzzy controller connected in a closed loop, using sum-of-squares (SOS) approach. Based on the Lyapunov stability theory, the stability analysis is generalized by bringing the membership functions as polynomial variables to the stability analysis for relaxation of SOS-based...
A nonlinear multivariable adaptive decoupling PID control strategy based on multiple models and neural network is proposed for a class of uncertain discrete time nonlinear dynamical systems. The adaptive decoupling PID controller is composed of a linear adaptive PID decoupling controller, a neural network nonlinear adaptive PID decoupling controller and a switch mechanism. The PID parameters of such...
The concept of differential flatness of continuous-time systems has its counterpart in discrete-time systems, which are most often applied in modern signal processing problems. This concept of flatness gives a way for open-loop as well as closed-loop control design for dynamic systems when the goal is to drive the system from one steady-state to another. The successive derivatives of the so-called...
In many machinery there are rotating axis, which sometimes give problems with mechanically coupled disturbances from e.g. imperfect roundness or loads. These disturbance can be modeled as a nonlinear feedback, and treated under the framework of repetitive control.
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