Almost sure asymptotic stabilization of a discrete-time switched stochastic system is investigated. Information on the active operation mode of the switched system is assumed to be available for control purposes only at random time instants. We propose a stabilizing feedback control framework that utilizes the information obtained through mode observations. We first consider the case where stoc...

This paper presents novel controllers that yield finite-time stability for linear systems. We first present a necessary and sufficient condition for the origin of a scalar system to be finite-time stable. Then we present novel finitetime controllers based on vector fields and barrier functions to demonstrate the utility of this geometric condition. We also consider the general class of linear c...

The purpose of this paper is to present the solution of time-optimal problem of the controlled object u x f y y x + = = ) ( , ! ! , u ≤ 1 and motion resistance function f x x f x A x ( ) , ( ) = ≤ = − > 0 0 0 if if where 0 1 ≤ < A . In the formula of f x ( ) there exists a value A= b A = 2 2 − that plays an essential role. Namely, if A≤ b A then the time-optimal control process is typical. For ...

We discuss a force control problem for a constrained one-link flexible arm based on distributed parameter model. In order to solve the force control problem, we propose a simple feedback control law. This control law consists of bending moment at the root of the flexible arm and its derivative, which regulates simultaneously the force and the rotational angle of the motor without the angle and ...

A Static Compensator (StatCom) is a device that can provide reactive support to a bus. It consists of voltage sourced converters connected to an energy storage device on one side and to the power system on the other. In this paper, the conventional method of PI control is compared and contrasted with various feedback control strategies. A linear optimal control based on LQR control is shown to ...

solve the problem of time-optimal network queue control: what are the input data rates that make network queue sizes converge to their ideal size in the least possible time after a disturbance while still maintaining maximum link utilization at all times, even in the transient? The problem is non-trivial especially because of the vast possible heterogeneity in packet propagation delays in the n...

How should monetary policy be conducted in the presence of endogenous feedback loops between asset prices, firms’ financial health, and economic activity? We reconsider this question in the context of the financial accelerator model and show that, when the level of natural output is inefficient, the optimal monetary policy under commitment leans considerably against movements in asset prices an...

A constructive method for investigating if a given nonlin-ear dynamic system subject to control constraints can be controlled to follow a desired curve in the state or output space is presented. If the method gives an aarmative answer we can compute a closed form expression of the corresponding state feedback control law. Specifying a family of parametrized curves, approximations of reachable s...

Under generic assumptions and F, G, it's known that the optimal control admits a regular feedback synthesis [8]. It means, for any given τ>0, on the set A τ of points which can be steered to the origin within time τ, one can define a feedback control u = φ(x) with the fallowing properties: The set A τ can be partitioned into finitely many sub main folds Vi such that the restriction of φ to each...

In this paper we study the solution to optimal control problems for discrete time linear hybrid systems. First, we prove that the closed form of the state-feedback solution to finite time optimal control based on quadratic or linear norms performance criteria is a time-varying piecewise affine feedback control law. Then, we give an insight into the structure of the optimal state-feedback soluti...