Peter V. Zhivoglyadov

Brief Networked control design for linear systems

In this paper we study a systematic networked control method designed specifically to handle the constraints of the networked realization of a linear time invariant control system. The general structure of the proposed controller requires switching between the open loop and closed loop subsystems of the controller which is dictated by the behaviour of the communication network.

Localization based switching adaptive control for time-varying discrete-time systems

In this paper a new systematic switching control approach to adaptive stabilization of linear time-varying (LTV) discrete-time systems is presented. A feature of the localization based method is its high model falsification capability, which in the case of LTI systems is manifested as the rapid convergence of the switching controller. We believe that the proposed method may help pave the way for design of practical adaptive switching controllers applicable to a wide range of linear time-invariant and time-varying systems.

Localization based switching adaptive control for time-varying discrete time systems

In this paper a new systematic switching control approach to adaptive stabilization of linear time-varying discrete-time systems is presented. This approach is based on a localization method, and is conceptually different from existing switching adaptive control schemes. A feature of the localization based method is that the control switching converges rapidly. By utilizing this fast speed of localization and the rate of admissible parameter variation, we provide conditions under which the closed-loop system can be exponentially stabilized.

Further results on localization-based switching adaptive control ☆

We investigate a switching adaptive control scheme based on falsification which is conceptually different from existing switching adaptive control schemes. A feature of the proposed localization method is its fast model falsification capability. In the LTI case this is manifested as the rapid convergence of the switching controller. By analysing the geometry of localization we give a complete solution to the problem of optimal localization.

Brief Stability and switching control design issues for a class of discrete time hybrid systems

For the class of systems considered, necessary and sufficient stabilizability conditions are unknown. However, by considering the same systems with unknown but bounded exogenous disturbances, we give finitely computable conditions, sufficient for stabilizability without disturbances, yet necessary for stabilizability with disturbances.

Adaptive stabilization of uncertain discrete-time systems via switching control: The method of localization

This chapter presents a new systematic switching control approach to adaptive stabilization of uncertain discrete-time systems. The approach is based on a method of localization that is conceptually different from supervisory adaptive control schemes and other existing switching control schemes. The proposed approach allows for slow parameter drifting, infrequent large parameter jumps, and unknown bound on exogenous disturbances. The unique feature of the localization-based switching adaptive control, proposed in the chapter, is its rapid model falsification capability. In the LTI case this is manifested in the ability of the switching controller to quickly converge to a suitable stabilizing controller. It is believed that the approach is applicable to a wide class of linear time invariant and time-varying systems with good transient performance.

Switching controller design via convex polyhedral Lyapunov functions

In this paper we propose a systematic switching control design method for a class of nonlinear discrete time hybrid systems. The novelty of the adopted approach is in the fact that unlike conventional control the control burden is shifted to a logical level thus creating the need for the development of new analysis/design methods.

On stability in hybrid systems

The main contribution of this paper is a number of structure dependent stability results applicable to a class of hybrid systems modelled by discrete automata. Our main results are formulated as two stability theorems giving necessary and sufficient conditions for global stability of synchronous and asynchronous piecewise linear hybrid systems. These theorems effectively reduce the hybrid systems stability analysis problem to analysis of stability of a certain class of linear time varying systems.

A novel approach to systematic switching control design for a class of hybrid systems

We propose and investigate a new systematic switching control design method applicable to a class of nonlinear discrete time hybrid systems. The main objective of this paper is to present a systematic algebraic approach to stabilizability analysis for the systems.

A method for switching controller design for discrete time hybrid systems

We propose a systematic switching control design method applicable to a class of piecewise linear hybrid systems. We consider a class of systems controlled by a finite state actuator (i.e. switching controller). For the class of systems considered, precise conditions for stabilizability are unknown. However, by considering the same systems with unknown but bounded exogenous disturbances, we are able to give finitely computable conditions, sufficient for stabilizability without disturbances, yet necessary for stabilizability with disturbances.