This paper, presents a direct adaptive control design method for uncertain nonlinear non-minimum phase systems. First, an appropriate reference signal is designed such that the internal dynamic subsystem is input-to-state practical stable. Then an output feedback control, which does not rely on the state estimation, is designed such that the output of system asymptotically tracks this reference...

Stationary bifurcation control is studied under the assumption that the critical zero eigenvalue is uncontrollable for the linearized system. The development facilitates explicit construction of feedback control laws that render the bifurcation supercritical. Thus, the bifurcated equilibria in the controlled system are guaranteed stable. Both pitchfork bifurcation and transcritical bifurcation ...

We present CODEV, a Matlab-based tool for verifying systems employing Model Predictive Control (MPC). The MPC solution is computed offline and modeled together with the physical system as a hybrid automaton, whose continuous dynamics may be nonlinear with a control solution that remains affine. While MPC is a widely used synthesis technique for constrained and optimal control in industry, our t...

This paper presents an adaptive neural network output feedback controller for a class of uncertain SISO nonlinear non-affine systems. Since the system states are not required to be available for measurement, an observer is designed to estimate the system states. Comparing to existing results, this method does not require a priori knowledge about the sign of control gain direction. To deal with ...

In this paper, a systematic procedure to design the robust ∞ H fuzzy controller for a nonlinear active magnetic bearing (AMB) system affected by time-varying parametric uncertainties is presented. First, the continuous-time Takagi-Sugeno (T-S) fuzzy model is employed to represent the nonlinear AMB system. Next, based on the obtained fuzzy model, sufficient conditions are derived in terms of lin...

In the theory for continuous-time linear systems, the system Hankel operator plays an important role in a number of realization problems ranging from providing an abstract notion of state to yielding tests for state space minimality and algorithms for model reduction. But in the case of continuous-time nonlinear systems, Hankel theory is considerably less developed beyond a well known Hankel ma...

The minimization control problem of quadratic functionals for the class of affine nonlinear systems with the hypothesis of nilpotent associated Lie algebra is analyzed. The optimal control corresponding to the first-, second-, and third-order nilpotent operators is determined. In this paper, we have considered the minimum fuel problem for the multi-input nilpotent control and for a scalar input...

The adaptive back-stepping control issue for the switched non-affine nonlinear system with uncertain parameter is addressed in this paper. Inspired by “extended state” conception, integral item first employed original to generate an augmented system. Then, structures dynamics are adopted devise virtual controls directly, and dynamic surface integrated eliminate “explosion of complexity” caused ...

Multi-input nonlinear affine systems represented in a canonical (normal) form are considered. The controls are assumed to be constrained. The application of feedback linearization results in a closed-loop system that is decomposed into an aggregate of independent linear subsystems in a neighborhood of the origin and is nonlinear when controls reach saturation. For the closed-loop system obtaine...