Global optimal feedbacks for stochastic quantized nonlinear event systems

نویسندگان

  • Stefan Jerg
  • Oliver Junge
  • Marcus Post
چکیده

We consider nonlinear control systems for which only quantized and eventtriggered state information is available and which are subject to random delays and losses in the transmission of the state to the controller. We present an optimization based approach for computing globally stabilizing controllers for such systems. Our method is based on recently developed set oriented techniques for transforming the problem into a shortest path problem on a weighted hypergraph. We show how to extend this approach to a system subject to a stochastic parameter and propose a corresponding model for dealing with transmission delays. ∗Technische Universität München, Boltzmannstr. 3, 85747 Garching, Germany. [email protected], [email protected], [email protected] †Research was partially supported by the priority program 1305 Control Theory of Digitally Networked Dynamical Systems of the German Research Foundation and the Bavarian State Ministry of Sciences, Research and Arts in the TopMath program.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Lazy Global Feedbacks for Quantized Nonlinear Event Systems

We consider nonlinear event systems with quantized state information and design a globally stabilizing controller from which only the minimal required number of control value changes along the feedback trajectory to a given initial condition is transmitted to the plant. In addition, we present a non-optimal heuristic approach which might reduce the number of control value changes and requires a...

متن کامل

Global Optimal Feedbacks for Quantized Nonlinear Event Systems Subject to Information Delays and Losses

Recently, event-based control has attracted interest since its triggering scheme allows for adaptation to the system behavior. Particularly, in network control systems this approach avoids unnecessary load of the communication channel when the system variables do not change signi cantly. Coarse quantizations also have been utilized to reduce communication load. However, in the literature the tr...

متن کامل

Global optimal control of quantized systems

We propose a set oriented approach to the global infinite horizon optimal control of nonlinear systems with quantized state measurement and quantized control values. The algorithm relies on a dynamic programming principle in which the quantization error is modelled as an opponent in a min-max dynamic game formulation. For the solution of the problem we propose a set oriented approach followed b...

متن کامل

Constrained Nonlinear Optimal Control via a Hybrid BA-SD

The non-convex behavior presented by nonlinear systems limits the application of classical optimization techniques to solve optimal control problems for these kinds of systems. This paper proposes a hybrid algorithm, namely BA-SD, by combining Bee algorithm (BA) with steepest descent (SD) method for numerically solving nonlinear optimal control (NOC) problems. The proposed algorithm includes th...

متن کامل

Nonlinear feedback systems perturbed by noise: steady-state probability distributions and optimal control

In this paper we describe a class of nonlinear feedback systems perturbed by white noise for which explicit formulas for steady-state probability densities can be found. We show that this class includes what has been called monotemperaturic systems in earlier work and establish relationships with Lyapunov functions for the corresponding deterministic systems. We also treat a number of stochasti...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2012