Abstract In this article, two new comparison principles for studying positive invariance and stability of linear and nonlinear discrete-time systems are presented. First, a general comparison principle enabling one to...
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Abstract In this article, two new comparison principles for studying positive invariance and stability of linear and nonlinear discrete-time systems are presented. First, a general comparison principle enabling one to determine necessary and sufficient conditions of positive invariance of sets described by their “border surfaces” is developed. Then, a dual comparison principle describing the dynamics of the “vertices” of these sets is established. Both results can be used for the stability analysis and the control design of nonlinear systems.
This paper presents a novel method in the synchronous reference frame to extract the reference compensating current for single-phase shunt active power filters. The effectiveness of the proposed method is investigated...
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A synchronous reference frame controller with a multi-resonant harmonic compensator for single-phase grid-connected inverters is proposed in this paper. The essence of the proposed control strategy is to use a synchro...
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A dynamical system can exhibit structure on multiple levels. Different system representations can capture different elements of a dynamical system's structure. We consider LTI input-output dynamical systems and pr...
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The problem of aircraft trajectory planning is formulated as a hybrid optimal control problem. The aircraft is modeled as a switched system, that is, a class of hybrid dynamical systems. The sequence of modes, the swi...
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Abstract The problem to minimize power losses in an electrical network subject to voltage and power constraints is in general hard to solve. However, it has recently been discovered that semidefinite programming relax...
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Abstract The problem to minimize power losses in an electrical network subject to voltage and power constraints is in general hard to solve. However, it has recently been discovered that semidefinite programming relaxations in many cases enable exact computation of the global optimum. Here we point out a fundamental reason for the successful relaxations, namely that the passive network components give rise to matrices with nonnegative offdiagonal entries. Recent progress on quadratic programming with Metzler matrix structure can therefore be applied.
Abstract In this paper an anti-slip predictive controller is designed and implemented in order to control the rear wheels of a V-PRA (Variable Powered Rear Axle) vehicle. The control algorithm is EPSAC, a Model based ...
Abstract In this paper an anti-slip predictive controller is designed and implemented in order to control the rear wheels of a V-PRA (Variable Powered Rear Axle) vehicle. The control algorithm is EPSAC, a Model based Predictive control (MPC) strategy. It uses explicitly a model of the system for the prediction of the future system output, in order to calculate the optimal control input which will bring the system to a required setpoint. The main goals of this predictive controller were setpoint trajectory following, disturbance rejection and maintain overall the stability of the V-PRA vehicle. Although the process is non-linear, being influenced by several parameters, linear discrete-time ARX models could be obtained based on system linearization around an operating point. An initial SISO controller was developed and tested, based on a Simulink model of the process. The control performances were tested successfully in presence of all kind of disturbances, denoting a robust controller.
A Sliding Mode (SM) Regulator is proposed for an Antilock Brake System (ABS) control problem by employing Block control SM and regulation concepts. This regulator has robustness against matched and unmatched perturbat...
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This paper deals with design of a synchronous frame control strategy for single-phase inverter-based islanded distributed generation (DG) systems. Although, implementation of these regulators requires a minimum of two...
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The aim of this paper is to design and analyze an observer based on high-order sliding mode to estimate states and unknown inputs in a continuous stirred tank reactor (CSTR). Additionally, the designed HOSM allows to ...
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