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Stability analysis and observer design for neutral delay systems
Copyright [2002] IEEE. This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of Brunel University's products or services. Internal or personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution must be obtained from the IEEE by writing to [email protected]. By choosing to view this document, you agree to all provisions of the copyright laws protecting it.This paper deals with the observer design problem for a class of linear delay systems of the neutral-type. The problem addressed is that of designing a full-order observer that guarantees the exponential stability of the error dynamic system. An effective algebraic matrix equation approach is developed to solve this problem. In particular, both the observer analysis and design problems are investigated. By using the singular value decomposition technique and the generalized inverse theory, sufficient conditions for a neutral-type delay system to be exponentially stable are first established. Then, an explicit expression of the desired observers is derived in terms of some free parameters. Furthermore, an illustrative example is used to demonstrate the validity of the proposed design procedur
Robust Adaptive Control
Several concepts and results in robust adaptive control are are discussed and is organized in three parts. The first part surveys existing algorithms. Different formulations of the problem and theoretical solutions that have been suggested are reviewed here. The second part contains new results related to the role of persistent excitation in robust adaptive systems and the use of hybrid control to improve robustness. In the third part promising new areas for future research are suggested which combine different approaches currently known
Predictive control of a solar air conditioning plant with simultaneous identification
This paper presents the application of a predictive
controller with simultaneous identification to a solar air conditioning plant. The time varying nature of the process makes
necessary an adjustment of the controller parameters to the
varying operational conditions. The main novelty with respect
to classic adaptive MPC scheme is to penalize the identification
error in the cost function used for control. The behaviour of the
controller is illustrated by simulations and experimental results.
The integration of identification and control avoids the tedious
identification procedure that is necessary before the start-up
of any predictive controller. This new adaptive MPC scheme
shows its effectiveness in controlling the outlet temperature in
the solar thermal plant.Ministerio de Ciencia y TecnologÃa DPI2004-07444-C04-0
Breathers and Thermal Relaxation in Fermi-Pasta-Ulam Arrays
Breather stability and longevity in thermally relaxing nonlinear arrays
depend sensitively on their interactions with other excitations. We review the
relaxation of breathers in Fermi-Pasta-Ulam arrays, with a specific focus on
the different relaxation channels and their dependence on the interparticle
interactions, dimensionality, initial condition, and system parameters
Stabilizing predictive control with persistence of excitation for constrained linear systems
A new adaptive predictive controller for constrained linear systems is presented. The main feature of the proposed controller is the partition of the input in two components. The first part is used to persistently excite the system, in order to guarantee accurate and convergent parameter estimates in a deterministic framework. An MPC-inspired receding horizon optimization problem is developed to achieve the required excitation in a manner that is optimal for the plant. The remaining control action is employed by a conventional tube MPC controller to regulate the plant in the presence of parametric uncertainty and the excitation generated for estimation purposes. Constraint satisfaction, robust exponential stability, and convergence of the estimates are guaranteed under design conditions mildly more demanding than that of standard MPC implementations
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