The interconnection between a linear time invariant system and nonlinear operator gathering an asymmetric backlash dead-zone is studied, which are relevant in mechanics hydraulics. This paper aims to design controller as static state feedback ensure Uniform Ultimately Bounded (UUB) property for the closed-loop system. A UUB-Lyapunov-based approach used provide sufficient conditions Linear Matrix Inequalities (LMIs) this control resulting optimization problem offered minimize UUB set....

This paper deals with the interconnection between a linear system and nonlinear operator consisting of asymmetric input backlash dead-zone. The uniform ultimate boundedness is studied. A piecewise quadratic Lyapunov function, suitable polyhedral description proposed. conservatism existing results therefore reduced. effectiveness improvement are assessed using numerical example.

This paper proposes a new approach for computing controlled invariant and output invisible subspaces of parameter-dependent systems. Non-strictly proper systems are considered, the system matrices can exhibit polynomial dependence on parameter. The proposed is applied in both contexts constant inputs making subspace invariant, referred to as generalized or adaptively subspaces. A large discussion unifies makes link with several contributions literature. Moreover, procedure compute one input...

In this article, parallel interconnection of dc/dc converters is considered. For topology feeding a common load, it has been recently shown that dynamics related to voltage regulation can be completely separated from the current distribution without considering frequency separation arguments, which inevitably limits achievable performance. Within Hamiltonian framework, article shows between and linked energy conservative quantities: Casimir functions. Furthermore, robust control law given in...

This paper deals with the stability analysis of interconnection between a linear system and nonlinear operator. operator is combination an asymmetric backlash dead-zone. It memory-based which only piecewise differentiable. To handle such nonlinearity, more complex than standard ones, we aim to capture closed-loop trajectories in some suitable regions state space. Uniform Ultimate Boundednes (UUB) property addressed, using intrinsic behavior Lyapunov-based approach. Sufficient conditions are...

In this paper, we introduce a definition of input redundancy for switched systems, particularly focusing on the continuous input. We establish criterion assessing whether linear system is redundant with respect to Our approach initially involves transforming into depending polynomially univariate parameter through Lagrange polynomial interpolation. This allows us leverage recent results in geometric control theory and parameter-dependent adapt them context systems order obtain desired...

The paper presents a novel method for designing an optimal controller discrete-time switched linear systems. problem is formulated as one of computing the discrete mode sequence and continuous input that jointly minimize quadratic performance index. State-of- art methods solving such control suffer in general from high computational requirement due to fact exponential number switching sequences must be explored. this addresses challenge law design by introducing auxiliary variables then...

For input redundant linear systems, it is possible to construct distinct inputs producing identical outputs, from the same initial state. Thus selecting an output does not determine uniquely input, i.e., there exist degrees of freedom related choice generate a given output. These can be used enhance system performances without altering However their determination might depend on parameters. When some them are known or uncertain, may difficult impossible design leading Considering...

This paper tackles the current sharing problem for interconnected power converters. Specifically, it considers a single load, fed by buck converters via common DC bus. In such case, has been recently shown that dynamics related to (i) voltage regulation and (ii) distribution can be completely separated without resorting frequency separation argument, which inevitably lowers achievable performance. this paper, origin of is investigated. A comprehensive analysis provided relying on geometric...

This paper tackles the current sharing problem for interconnected power converters. Specifically, it considers a single load, fed by parallel buck converters via common DC bus. In such case, has been recently shown that dynamics related to distribution can be controlled without impacting voltage regulation. Such decoupling is performed resorting frequency separation argument, which inevitably lowers achievable performance. destroyed input constraints, though. this context, shows mere...

Permanent magnet synchronous motors associated to their drivers are subjected both current and voltage saturations. Dealing with those limitations is the core of flux weakening problem which aims defining achievable operating conditions. In stark contrast most literature focusing on steady-state, this paper investigates how constraints impact transient as well. In-depth analysis reveals that bounds affecting derivative torque exerted by machine influenced direct current. This suggests...

In this paper, parallel interconnection of DC/DC converters is considered. For topology feeding a common load, it has been recently shown that dynamics related to voltage regulation can be completely separated from the current distribution without considering frequency separation arguments, which inevitably limits achievable performance. Within Hamiltonian framework, paper shows between and linked energy conservative quantities: Casimir functions. Furthermore, robust control law given in...

For a given unconstrained dynamical system, input redundancy has been recently redefined as the existence of distinct inputs producing identical output for same initial state. By directly referring to signals, this definition readily applies any input-to-output mapping. As an illustration potentiality, paper tackles case where and state constraints are imposed on system. This context is indeed foremost importance since historically regarded way deal with saturations. An example illustrating...

The paper presents a novel method for designing an optimal controller discrete-time switched linear systems. problem is formulated as one of computing the discrete mode sequence and continuous input that jointly minimize quadratic performance index. State-of-art methods solving such control suffer in general from high computational requirement due to fact exponential number switching sequences must be explored. this addresses challenge law design by introducing auxiliary variables then...

We investigate the scenario where an over-actuated plant is controlled over a network. concentrate on effect of two network-induced phenomena: varying transmission intervals and scheduling, in sense that only one actuators receives new data at each instant. present emulation-based solution for controller design, i.e., first designed to stabilize origin ignoring network second, packet-based taken into account conditions maximum allowable interval (MATI) scheduling protocol are given preserve...