Control of Nonlinear Aircraft Models Using Dynamic State-Feedback Gain Scheduling

2003 ◽  
Author(s):  
Thomas Richardson ◽  
Paul Davison ◽  
Mark Lowenberg ◽  
Mario di Bernardo
Keyword(s):  
State Feedback ◽  
Gain Scheduling ◽  
Dynamic State ◽  
Feedback Gain

Guaranteed Performance State-Feedback Gain-Scheduling Control With Uncertain Scheduling Parameters

2015 ◽  
Vol 138 (1) ◽  
Author(s):  
Ali Khudhair Al-Jiboory ◽  
Guoming G. Zhu ◽  
Jongeun Choi
Keyword(s):  
State Feedback ◽  
Gain Scheduling ◽  
Measurement Noise ◽  
Control Synthesis ◽  
Linear Matrix ◽  
Feedback Gain ◽  
Uncertainty Model ◽  
Gain Scheduling Control ◽  
Uncertain Scheduling

State-feedback gain-scheduling controller synthesis with guaranteed performance is considered in this brief. Practical assumption has been considered in the sense that scheduling parameters are assumed to be uncertain. The contribution of this paper is the characterization of the control synthesis that parameterized linear matrix inequalities (PLMIs) to synthesize robust gain-scheduling controllers. Additive uncertainty model has been used to model measurement noise of the scheduling parameters. The resulting controllers not only ensure robustness against scheduling parameters uncertainties but also guarantee closed-loop performance in terms of H2 and H∞ performances as well. Numerical examples and simulations are presented to illustrate the effectiveness of the synthesized controller. Compared to other control design methods from literature, the synthesized controllers achieve less conservative results as measurement noise increases.

State Feedback Gain Scheduling for Linear Systems With Time-Varying Parameters

2005 ◽  
Vol 128 (2) ◽  
pp. 365-370 ◽  
Author(s):  
Vinícius F. Montagner ◽  
Pedro L. D. Peres
Keyword(s):  
Linear Systems ◽  
State Feedback ◽  
Gain Scheduling ◽  
State Feedback Control ◽  
Feedback Gain ◽  
Structural Constraints ◽  
Time Varying ◽  
Varying Parameters ◽  
Time Varying Parameters ◽  
Parameter Dependent

This paper addresses the problem of parameter dependent state feedback control (i.e. gain scheduling) for linear systems with parameters that are assumed to be available (measured or estimated) in real time and are allowed to vary in a compact polytopic set with bounded variation rates. A new sufficient condition given in terms of linear matrix inequalities permits to determine the controller gain as an analytical function of the time-varying parameters and of a set of constant matrices. The closed-loop stability is assured by means of a parameter dependent Lyapunov function. The condition proposed encompasses the well-known quadratic stabilizability condition and allows to impose structural constraints such as decentralization to the feedback gains. Numerical examples illustrate the efficiency of the technique.

scholarly journals Gain Scheduling Controller Design for Two-Rotor Hovering System and its Experimental Verification

2006 ◽  
Vol 18 (5) ◽  
pp. 589-597
Author(s):  
Makoto Yamashita ◽  
◽  
Masami Saeki ◽  
Nobutaka Wada ◽  
Izumi Masubuchi ◽  
...  
Keyword(s):  
Flight Control ◽  
State Feedback ◽  
Optimization Problem ◽  
Controller Design ◽  
Gain Scheduling ◽  
Linear Matrix ◽  
Feedback Gain ◽  
Convex Optimization Problem ◽  
Linear Parameter Varying ◽  
Lpv System

We propose two design methods of a gain scheduling controller for flight control of two-rotor hovering system. We first propose a method of converting whole dynamics of the hovering system to a linear parameter-varying (LPV) system at once. Secondly, we propose a method of linearizing longitudinal dynamics of the system exactly and converting remaining dynamics to an LPV system. In both cases, the state feedback gain scheduling controller is designed for the obtained LPV system by solving a convex optimization problem with linear matrix inequality (LMI) constraints. Experimental results show the effectiveness of the proposed methods.

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