In this paper, we study the problem of feedback complete linearization for a given single input single output stochastic nonlinear system. Using the invariance under transformation rule [1], the coordinate free necessary and su± cient conditions for the solvability of the problem is derived, which is exactly the same as the necessary and su± cient conditions for the solvability of the feedback ...

A novel Integrated Robust Optimal Design (IROD) methodology is presented in this work which combines a traditional sensitivity theory with relatively new advancements in Bilinear Matrix Inequality (BMI) constrained optimization problems. IROD provides the least conservative approach for robust control synthesis. The proposed methodology is demonstrated using numerical examples of integrated con...

The objective of this study is to design a robust direct model reference adaptive controller (DMRAC) for a nonlinear cardiovascular model over a range of plant parameters representing a variety of physical conditions. The direct adaptive controllers used in thisd study require the plant to be almost strictly positive real (ASPR) that is, for a plant to be controlled there must exist a feedback ...

In this paper, a mixed robust feedback linearization with linear GH∞ controller is applied to a nonlinear quadrotor unmanned aerial vehicle. An actuator saturation and constrain on state space output are introduced to analyse the worst case of control law design.The results show that the overall system becomes robust when weighting functions are chosen judiciously. Performance issues of the con...

In this article, the adaptive tracking control problem is investigated for a multibody high-speed train dynamic model in presence of unknown parameters, which an open problem. A four-car unit with input signals acting on second and third cars output being speeds first chosen as benchmark model, aerodynamic resistance force also considered. To handle nonlinear term, feedback linearization method...

A review of the experimental evidence shows that passivitybased control of saturated induction motors does not provide superior performance over input–ouput linearization. Higher tracking errors can be observed and traced to the open-loop nature of the flux controller. In contrast, input–output linearization controllers achieve close tracking of flux, speed, and position references for the most...

We consider the coupling of two nonidentical dynamical systems using an adaptive feedback linearization controller to achieve partial synchronization between the two systems. In addition we consider the case where an additional feedback signal exists between the two systems, which leads to bidirectional coupling. We demonstrate the stability of the adaptive controller, and use the example of co...