Robustification and Parametrization of Switching Controllers for a Class of Set Invariance Problems ?
نویسندگان
چکیده
In this paper, we consider the robustification and parametrization of an invariance switching controller with respect to a scalar variable (parameter) that affects the system dynamics. By robustification, we mean searching for a switching controller that guarantees invariance of a set, under a large enough range of the parameter values. In case such a robust controller does not exist, we do parametrization, i.e., searching for a collection of controllers, each one robust to a smaller range of parameter values. A parametrized controller can be applied in real-time by picking the appropriate switching surfaces based on the measurement of the parameter. To be more specific, assuming (i) the system dynamics is affine, and is monotone in the considered parameter, (ii) the invariance switching controller is defined on a rectangle in the state space, we show that the robustification and parametrization problems can be reduced to solving a sequence of linear programming problems. The proposed approach is illustrated by several numerical examples.
منابع مشابه
Designing and Modeling a Control System for Aircraft in the Presence of Wind Disturbance (TECHNICAL NOTE)
This paper proposes a switching adaptive control for trajectory tracking of unmanned aircraft systems. The switching adaptive control method is designed to overcome the wind disturbance and achieve a proper tracking performance for control systems. In the suggested system, the wind disturbance is regarded as a finite set of uncertainties; a controller is designed for each uncertainty, and a per...
متن کاملRobust H2 switching gain-scheduled controller design for switched uncertain LPV systems
In this article, a new approach is proposed to design robust switching gain-scheduled dynamic output feedback control for switched uncertain continuous-time linear parameter varying (LPV) systems. The proposed robust switching gain-scheduled controllers are robustly designed so that the stability and H2-gain performance of the switched closed-loop uncertain LPV system can be guaranteed even und...
متن کاملPresentation of quasi-linear piecewise selected models simultaneously with designing of bump-less optimal robust controller for nonlinear vibration control of composite plates
The idea of using quasi-linear piecewise models has been established on the decomposition of complicated nonlinear systems, simultaneously designing with local controllers. Since the proper performance and the final system close loop stability are vital in multi-model controllers designing, the main problem in multi-model controllers is the number of the local models and their position not payi...
متن کاملTitle Genetic robustification of digital trajectory: tracking controllers for robotic manipulators
In this paper, genetic algorithms are used to robustify digital multivariable PID controllers for robotic manipulators. This process of robustification is effected by using genetic algorithms to determine the optimal set of controller tuning parameters for typical trajectorytracking tasks. This use of genetic algorithms is illustrated by the design of a digital trajectory-tracking controller fo...
متن کامل"A State-Space Approach to Parametrization of Stabilizing Controllers for Nonlinear Systems"
A state-space approach to Youla-parametrization of stabilizing controllers for linear and nonlinear systems is suggested. The stabilizing controllers (or a class of stabilizing controllers for nonlinear systems) are characterized as (linearlnonlinear) fractional transformations of stable parameters. The main idea behind this approach is to decompose the output feedback stabilization problem int...
متن کامل