A given explicit piecewise affine representation of an MPC feedback law is approximated by a single polynomial, computed using linear programming. This polynomial state feedback control law guarantees closed-loop stability and constraint satisfaction. The polynomial feedback can be implemented in real time even on very simple devices with severe limitations on memory storage.

This paper focuses on the quadratic stabilization problem for a class of uncertain impulsive switched systems. The uncertainty is assumed to be norm-bounded and enters both the state and the input matrices. Based on the Lyapunov methods, some results on robust stabilization and quadratic stabilization for the impulsive switched system are obtained. A stabilizing state feedback control law reali...

Feedback control schemes have been widely used in many engineering applications for a long time. Despite this, there has been very little work done on eecient design of experiments for modeling feedback control processes in order to select the appropriate feedback variables. This paper considers a general statistical formulation of this problem and studies the properties of optimal designs in t...

In this paper the problem of designing a xed state feedback control law which minimizes an upper bound on linear-quadratic performance measures for m distinct plants is reduced to a convex programming problem.

We study the impact of yield uncertainty (supply side) and self-interested consumers (demand side) on the inefficiency in the influenza vaccine supply chain. Previous economic studies, focusing on demand side, find that the equilibrium demand is always less than the socially optimal demand since self-interested individuals do not internalize the social benefit of protecting others via reduced i...

This paper obtains an explicit solution to a finite horizon min-max optimal control problem where the system is linear and discrete-time with control and state constraints, and the cost quadratic; the disturbance is negatively costed, as in the standard H∞ problem, and is constrained. The cost is minimized over control policies and maximized over disturbance sequences so that the solution yield...

This paper proposes a new visual control approach based on sinusoidal inputs to be used on a nonholonomic robot. We present several contributions: in our method, developed considering a unicycle kinematic model, sinusoids are used in such a way that the generated vehicle trajectories are feasible, smooth and versatile. Our technique improves previous sinusoidal-based control works in terms of e...

This paper considers 61 optimal control problems with full state feedback. In contrast to ,~ optimal control, previous work has shown that linear {1 optimal controllers can be dynamic and of arbitrarily high order. However, this paper shows that continuous memoryless nonlinear state feedback performs as well as dynamic linear state feedback. The derivation , which is nonconstructive, relies on ...

While non-smooth approaches (including sliding mode control) provide explicit feedback laws that ensure finite-time stabilization but in terminal time that depends on the initial condition, fixed-time optimal control with a terminal constraint ensures regulation in prescribed time but lacks the explicit character in the presence of nonlinearities and uncertainties. In this paper we present an a...