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In this paper the design of a time varying switching plane for the sliding mode control of the third order system subject to the velocity and acceleration constraints is considered. Initially the plane passes through the system representative point in the error state space and then it moves with a constant velocity to the origin of the space. Having reached the origin the plane stops and remains motionless. The plane parameters (determining angles of inclination and the velocity of its motion) are...
The paper addresses receding-horizon (predictive) control for polytopic discrete-time systems subject to input/state constraints and unknown but bounded disturbances. The objective is to optimize nominal performance while guaranteeing robust stability and constraint satisfaction. The latter goal is achieved by exploiting robust invariant sets under linear and nonlinear control laws. Tradeoffs between maximizing the initial feasibility region and guaranteeing ultimate boundedness in the smallest...
In this paper we analyze several concepts of solution to discontinuous ODEs in relation to feedbacks generated by optimal syntheses. Optimal trajectories are called Stratified Solutions in case of regular synthesis in the sense of Boltyanskii–Brunovsky. We introduce a concept of solution called Krasowskii Cone Robust that characterizes optimal trajectories for minimum time on the plane and for general problems under suitable assumptions.
In this paper we analyze several concepts of solution to discontinuous ODEs in relation to
feedbacks generated by optimal syntheses. Optimal trajectories are called Stratified Solutions in
case of regular synthesis in the sense of Boltyanskii-Brunovsky. We introduce a concept of
solution called Krasowskii Cone Robust that characterizes optimal trajectories for minimum time
on the plane and for general problems under suitable assumptions.
This paper presents a procedure for constructing a stable decentralized output feedback controller for a class of uncertain systems in which the uncertainty is described by Integral Quadratic Constraints. The controller is constructed to solve a problem of robust control. The proposed procedure involves solving a set of algebraic Riccati equations of the control type which are dependent on a number of scaling parameters. By treating the off-diagonal elements of the controller transfer function...
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