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211. Minimax control of Markov jump linear systems.

Author

Geromel, José C., Deaecto, Grace S., and Colaneri, Patrizio

Subjects
CHEBYSHEV approximation, MARKOVIAN jump linear systems, SWITCHING circuits, FEEDBACK control systems, GAME theory
Abstract

This paper introduces and focuses on a new control strategy for continuous-time Markov jump linear systems denominated minimax control. It generalizes switching and linear parameter varying control strategies and is determined such as to preserve stochastic stability and guaranteed [ABSTRACT FROM AUTHOR]

Published
2016
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216. Control of Systems With Periodic Coefficients, With Application To Active Rotor Control

Author

MARYLAND UNIV COLLEGE PARK DEPT OF AEROSPACE ENGINEERING, Celi, Roberto, Lovera, Marco, Colaneri, Patrizio, MARYLAND UNIV COLLEGE PARK DEPT OF AEROSPACE ENGINEERING, Celi, Roberto, Lovera, Marco, and Colaneri, Patrizio

Abstract

The project focused on the analysis and synthesis of active rotor controls. The rotor was modeled as a periodic system. The key accomplishments are: (i) First systematic study of the effect of zeros in rotorcraft aeromechanics. The "zeros" play a key role in the closed-loop behavior of the system. As rotor active controls become feasible, the calculation of zeros needs to become a routine design step. (ii) First study of the effects of closed-loop HHC/IBC on the aeroelastic stability of a helicopter rotor including, for example, the in-plane damping. This is especially important for configurations with inherently low in-plane damping such as bearingless rotors. (iii) Presentation to the rotorcraft community of techniques for the analysis of periodic systems developed in other areas of engineering, e.g., in the signal processing and control engineering communities. (iv) First study of the effects of closed-loop HHC/IBC on the aeroelastic stability of a helicopter, including the effects of the discrete elements, and of different sampling and update rates in the system. In all cases, a realistic mathematical model was used, with typically more than 35 degrees of freedom, including blade flexibility and nonlinear rigid body dynamics., The original document contains color images.

Published
2004

248. A Youla–Kučera parameterization approach to output feedback relatively optimal control.

Author

Blanchini, Franco, Colaneri, Patrizio, Fujisaki, Yasumasa, Miani, Stefano, and Pellegrino, Felice Andrea

Subjects
*PARAMETERIZATION, *FEEDBACK control systems, *OPTIMAL control theory, *CONTINUOUS time systems, *COMPUTATIONAL complexity
Abstract

This paper presents a continuous time solution to the problem of designing a relatively optimal control, precisely, a dynamic control which is optimal with respect to a given initial condition and is stabilizing for any other initial state. This technique provides a drastic reduction of the complexity of the controller and successfully applies to systems in which (constrained) optimality is necessary for some “nominal operation” only. The technique is combined with a pole assignment procedure. It is shown that once the closed-loop poles have been fixed and an optimal trajectory originating from the nominal initial state compatible with these poles is computed, a stabilizing compensator which drives the system along this trajectory can be derived in closed form. There is no restriction on the optimality criterion and the constraints. The optimization is carried out over a finite-dimensional parameterization of the trajectories. The technique has been presented for state feedback. We propose here a technique based on the Youla–Kučera parameterization which works for output feedback. The main result is that we provide conditions for solvability in terms of a set of linear algebraic equations. [ABSTRACT FROM AUTHOR]

Published
2015
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