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This paper addresses the problem of tracking periodic references for uncertain linear systems subject to control saturation. Accordingly to the internal model principle, a control loop containing the modes of both the references and additive disturbances is considered. From this structure, conditions in a ??quasi?? LMI form are proposed to simultaneously compute a stabilizing state feedback gain and...
In a recent paper we presented the first adaptive control design for an ODE system with a possibly large actuator delay of unknown length. We achieved global stability under full state feedback. In this paper we generalize the design to the situation where, besides the unknown delay value, the ODE also has unknown parameters, and where trajectory tracking (rather than equilibrium regulation) is pursued.
Stabilization for a collection of feedback linearizable systems with uncertain parameter is dealt with in this paper. Necessary and sufficient conditions for a quadratic control Lyapunov function to be a common control Lyapunov function for these systems are obtained. A continuous state feedback control is designed based on the common control Lyapunov function. It can simultaneously stabilize these...
The complex dynamics of an autonomous prey-predator system with impulsive state feedback control is studied. The sufficient conditions for the existence and stability of semi-trivial are obtained by using the Poincare map. Numerical simulations show that the complex dynamics of system we considered, including the doubling-bifurcations, chaos, etc.
The paper covers the problem involving the consequences of omitting to model the prehistory of dead time elements in control system modelling. It is shown that this omission is equivalent to the action of disturbances that can cause different effects, ranged from simple calculus differences to loss of stability. For this purpose three case studies are presented: a linear control system, a state feedback...
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