A closed loop parametrical identification procedure for continuous-time constant linear systems is introduced. This approach which exhibits good robustness properties with respect to a large variety of additive perturbations based on the following mathematical tools: (1) module theory; (2) differential algebra; (3) operational calculus. Several concrete case-studies computer simulations demonstrate efficiency our on-line scheme.

This article presents an application of variable structure systems theory, and the associated sliding regimes (Utkin [1]-[4]) systems, 1) to study energy transfers between dynamic storage elements in lossless bilinear networks 2) obtain a feasible reformulation constant regulation problem dc-dc switch-mode power converters (SPC's) usually treated by approximate state-space averaging techniques on pulse width modulation (PWM) control schemes. The approach exploits geometric aspects problems...

Non-linear state estimation and some related topics like parametric estimation, fault diagnosis perturbation attenuation are tackled here via a new methodology in numerical differentiation. The corresponding basic system theoretic definitions properties presented within the framework of differential algebra, which permits to handle variables their derivatives any order. Several academic examples computer simulations, with online estimations, illustrate our viewpoint.

This brief presents an active disturbance rejection control scheme for the angular velocity trajectory tracking task on a substantially perturbed, uncertain, and permanent magnet synchronous motor. The presence of unknown, time varying, load-torque inputs, unknown system parameters, lack knowledge initial shaft's position, prompts high-gain generalized proportional integral (GPI) observer-based (ADR) controller. controller is synthesized basis differential flatness direct measurability...

The consequences of the differential algebraic approach in sliding mode control nonlinear single-input single-output systems are reviewed tutorial fashion. Input-dependent surfaces, possibly including time derivatives input signal, shown to arise naturally from elementary results pertaining Fliess's Generalized Controller Canonical Forms systems. This class switching surfaces generally leads chattering-free dynamically synthesized regimes, which highest derivative signal undergoes all...

This article presents a differential geometric approach for the design of sliding modes in non-linear variable-structure feedback systems. Coordinate-free characterizations local existence conditions regimes, and reformulation some its most salient features are presented. The uses basic notions from geometry involving vector fields, distributions 1-forms. Both single- multiple-input cases treated with illustrative examples.

For constant linear systems we are introducing integral reconstructors and generalized proportional-integral controllers, which permit to bypass the derivative term in classic PID controllers more generally usual asymptotic observers. Our approach, is mainly of algebraic flavour, based on module-theoretic framework for operational calculus Mikusiński's setting. Several examples discussed.

This article summarizes the results of an experimental comparison nonlinear control algorithms on a DC-DC power converter boost type. It compares five algorithms, including linear design, with respect to their ease design and closed-loop performance. For all these local asymptotic stability desired equilibrium is ensured. The motivation present study not illustrate validity theoretical results, but test performance when confronted real physical application where situations predicted by...

The author demonstrates, under the assumption of high-frequency control switchings, existence an ideal equivalence among sliding regimes variable-structure feedback and pulse-width-modulated (PWM) responses in nonlinear dynamical systems. This constitutes basis for a geometric approach to PWM loops design. An illustrate example energy conversion lossless switched-controlled bilinear network is presented.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML"...

Abstract The problem of inducing convergent quasi-sliding regimes on smooth state-space surfaces non-linear single-input single output discrete-time controlled systems is addressed in full generality. A suitable extension the notion relative degree used establishing most salient features motions non-linearly systems. Several examples are given.

A variable-structure control approach is presented for multiaxial spacecraft attitude maneuvers. Nonlinear sliding surfaces are proposed that result in asymptotically stable, ideal linear decoupled motions of Cayley-Rodrigues parameters, as well angular velocities. The resulting laws interpreted more easily implemented and robust versions those previously obtained by feedback linearization.

The concepts of active disturbance rejection control and flatness-based are used in this paper to regulate the response a dc-to-dc buck power converter affected by unknown, exogenous, time-varying load current demands. generalized proportional integral observer is estimate cancel signals. A key element proposed for converter-dc motor combination that even if input gain imprecisely known, strategy still provides proper regulation tracking. robustness method further extended case double...

This paper is concerned with the design and implementation of a robust position backstepping tracking controller for permanent magnet synchronous motor (PMSM). The information on angular velocity, provided by classical resolver-to-digital converter, additionally employs phase lock loop (PLL) circuit. A control law designed from input-output linearization PMSM model, written in d-q coordinates. adapted via online estimation unknown load torque friction effects. linear extended state observer...

This paper presents the design of a robust nonlinear adaptive controller for trajectory tracking maneuvers nonminimum phase output voltage on dc-to-dc "boost" power converter with uncertain time-varying parameters. The unknown parameter variations concern both resistive load and input supply value. A generalized proportional-integral (GPI) indirect control, exploiting flatness property system, performs fast adaptations feedback desired reference owing to online algebraic identification...

Extended linearization techniques are proposed for the design of nonlinear proportional-integral (P-I) controllers stabilizing, to a constant value, average output voltage pulsewidth modulation (PWM) switch-regulated DC-to-DC converters. The Ziegler-Nichols method is used P-I controller specification, as applied family parametrized transfer function models linearized converter behavior around operating equilibrium point PWM controlled circuit. form in which designed be actual discontinuous...

The method of extended linearization is proposed for the systematic solution sliding mode controller design in DC-to-DC power converters boost and buck-boost type. A nonlinear surface with suitable stabilizing properties synthesized on basis extension a linear carried out parametrized average incremental model converter. obtained feedback strategies lead to asymptotically stable modes remarkable self-scheduling properties. Simulation examples are presented illustrative purposes.< <ETX...

A suitable combination of the differential flatness property and second-order sliding mode controller design technique is proposed for specification a robust dynamic feedback multivariable accomplishing prescribed trajectory tracking tasks earth coordinate position variables hovercraft vessel model.

A reapproach to chaotic systems synchronization is presented from the perspective of passivity-based state observer design in context Generalized Hamiltonian including dissipation and destabilizing vector fields. The lack several well-studied reexplained these terms.