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1

Reliable guaranteed cost robust control for a class of uncertain switched linear systems

Wang R., Zhao J.

Systems Science

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2005

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Vol. 31, no 4

21-31

EN

The problem of reliable guaranteed cost robust control for a class of uncertain switched linear systems containing actuator failures is addressed in this paper. In earlier papers, the reliable controller design methods are all based on a basic assumption that the never failed actuators must stabilize a given system. But when actuators suffer "serious failure" - the never failed actuators cannot stabilize the system, the previous design methods of reliable guaranteed cost control do not work. Based on the switching technique, the problem can be solved by means of switching among subsystems. A sufficient condition for the existence of the state feedback reliable guaranteed cost controller is obtained by using multiple-Lyapunov function method. Furthermore, a convex optimization approach with LMIs constraints is introduced to select the optimal guaranteed cost controller. Finally, a simulation example illustrates the effectiveness of the approach proposed.

2

Positive dynamical systems with delays

Kalinowski J., Klamka J.

Fasciculi Mathematici

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2005

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Nr 36

65-71

EN

In the paper using algebraic methods and method of steps new sufficient conditions for positivity of linear continuous-time dynamical systems with variable coefficients and distributed delay and several constant point delays are established. Neutral linear dynamical systems with several constant point delays are also discussed. As a special case linear dynamical systems without delays are also considered. Finally, illustrative example is given.

3

Some issues about multirate control systems

Albertos P., Salt J.

Systems Science

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2004

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Vol. 30, no 3

5-23

EN

Some issues about multirate systems and signals are reviewed in this contribution. First, different models for these signals and systems are considered. Discrete time sequences or blocks of data structured in a sequential or shifted form, allow the representation of signals sampled at different sampling rates, all of them being globally periodic. Process models dealing with sequences or blocks of data can be used to represent multirate scenarios. These models will also lead to a number of appropriate control design techniques. For the analysis and design of multirate controllers, different approaches are considered, such as the discretization of continuous time designed controllers or the direct design of multirate controllers. These techniques are compared and some properties and drawbacks are highlighted. In particular, the ripple in the intersampling behaviour of the controlled system, considered as an unavoidable drawback of multirate controllers, is also investigated.

4

An approach to decentralized adaptive control

Perutka K., Bobal V.

Archives of Control Sciences

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2003

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Vol. 13, no. 1

33-46

EN

The paper presents a way of control of decentralized two inputs two outputs (TITO) systems. The base of the approach is usage of the set of one-dimensional self-tuning controllers wiyh reduced orders, being tuned simultaneously, in contrast to methods using relays in feedback. A method of the recursive least squares with directional forgetting factor applied to the continuous-time system is used as the identification algorithm for the self-tuning controllers. Itobtains data using the differential filters. verification was done in MATLAB-SIMULINK on the systems with "P" and "V" structures. two methods of tuning the controllers were used: the suboptimal linear quadratic method, and the dynamics inversion method. This approach give good results, and enables to use arbitary method of tuning the controllers, in particular, to apply the approaches of control of SISO systems, which are quite common for the multi-variable systems.

5

Reachability and Controllability of Positive Continuous Time Linear Systems with Time Variable Coefficients

Klamka J., Kalinowski J.

Bulletin of the Polish Academy of Sciences. Technical Sciences

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2001

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vol. 49, nr 4

633-641

EN

In the paper using pure algebraic methods new sufficient conditions for reachability and controllability of positive linear continuous-time finite-dimensional dynamical systems with variable coefficients are established. As a special case linear dynamical systems with constant coefficients are also considered. Illustrative example is also given.