In this paper, we present a new approach to the Direct Torque Control (DTC) problem of three-phase induction motor drives. This approach is based on Model Predictive Control (MPC) exploiting the specific structure of the DTC problem and using a systematic design procedure. Specifically, by observing that the DTC objectives, which require the controlled variables to remain within certain bounds,...

We consider the problem of boundary stabilization for a quasilinear 2×2 system of first-order hyperbolic PDEs. We design a full-state feedback control law, with actuation on only one end of the domain, and prove local H exponential stability of the closed-loop system. The proof of stability is based on the construction of a strict Lyapunov function. The feedback law is found using the recently ...

This paper focuses on using a singularly perturbed approach to derive a vibration damping control law in which a pole assignment feedback method is utilized. The composite control system is characterized by two components which can be computed separately. The one is Cartesian-based PI control which drives the end-effector of a flexible manipulator to track the desired time-based trajectory. The...

We introduce an ordinal optimization approach to the study of optimal control law design. As illustration of the methodology, we find the optimal feedback control law for a simple LQG problem without the benefit of theory. For the famous unsolved Witsenhausen problem (1968, SIAM J. Control, 6(1)), a solution that is 50% better than the Witsenhausen solution is found. ( 1999 Elsevier Science Ltd...

The problem of controlling a nonlinear system to an invariant manifold using quantized state feedback is considered by the example of controlling the pendulum’s energy. A feedback control law based on the speed gradient algorithm is chosen. The main result consisting in precisely characterizing allowed quantization error bounds and resulting energy deviation bounds is presented.

We extend the concept of bundle methods to address non-convex and nonsmooth optimization problems arising in the design of a feedback control law for the longitudinal flight control of a civil aircraft. Our novel approach has two advantages. It allows to handle the specific structure of the control law directly, and we can express control law specifications directly as band-limited frequency-do...

We derive a hybrid feedback control law for the lateral leg spring (LLS) model so that the center of mass of a legged runner follows a curved path in horizontal plane. The control law enables the runner to change the placement and the elasticity of its legs to move in a desired direction. Stable motion along a curved path is achieved using curvature, bearing and relative distance between the ru...

The problem of (local) static output feedback stabilization for a class of minimum phase relative degree two systems is studied. It is shown that, under natural assumptions, it is possible to design a stabilizing static output feedback control law and to give an estimate of the resulting region of attraction. The general results are illustrated via examples.

In recent years, there has been considerable interest in bilinear systems [1, 2, 3] as appropriate mathematical model to represent the dynamical behaviour for a wide class of the engineering, biological, and economic systems. Recently many studies of the bilinear systems have been done from various points of view, e.g. controllability or observability, and a lot of problems connected with the o...

| In this note a continuous feedback control law with time-periodic terms is derived for the control of non-holonomic systems in power form. The control law is derived by Lyapunov design from a homogeneous Lyapunov function. Global asymptotic stability is shown by applying the principle of invariance for time-periodic systems. Exponential convergence follows since the vector elds are homogeneou...