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We consider quadratic stabilization and L2 gain analysis for switched systems which are composed of a finite set of time-invariant affine subsystems. Both subsystem matrices and vectors are switched, and no single subsystem has desired quadratic stability or specific L2 gain property. We show that if a convex combination of subsystem matrices is Hurwitz and another convex combination of affine vectors...
We address a discrete-time LQG control problem over a fixed performance window and apply a receding-horizon type control strategy, resulting in an exact solution to the problem in terms of semidefinite programming. The systems considered take parameters from a finite set, and switch between them according to an automaton. The controller has a finite preview of future parameters, beyond which only...
In this paper, we introduce the split-path nonlinear integrator (SPANI) as a novel nonlinear filter designed to improve the transient performance of linear systems in terms of overshoot. In particular, this nonlinear controller targets the well-known trade-off induced by integral action, which removes steady-state errors due to constant external disturbances, but deteriorates transient performance...
This paper presents a control method for a class of continuous-time switched systems, using state feedback variable structure controllers. The method is applied to the control of a two-cell dc-dc buck converter and a control circuit design using the software PSpice is proposed. The design is based on Lyapunov-Metzler-SPR systems and the performance of the resulting control system is superior to that...
In this paper, we address the problem of switched state feedback stabilization of switched linear systems with exponential uncertainties. By using Taylor series approximation and convex polytope technique, exponentially uncertain switched system is transformed into an equivalent polytopic model with an additive norm bounded uncertainty. For such equivalent switched model, we design its switching strategy...
Piecewise systems arise in many kinds of practical control systems due to the existence of certain effects, such as dead-zone, saturation, relays and hysteresis. This paper deals with the problem of exponential stabilization for a class of piecewise continuous-time switched control systems with nonlinear uncertainties, which are equivalent to the general form of piecewise switched affine nonlinear...
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