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Non-hyperbolic points of slow-fast systems (also known as singularly perturbed ordinary differential equations) are responsible for many interesting behavior such as relaxation oscillations, canards, mixed-mode oscillations, etc. Recently, the authors have proposed a control strategy to stabilize non-hyperbolic points of planar slow-fast systems. Such strategy is based on geometric desingularization,...
An important target for car manufacturers when developing new cars is to reduce fuel consumption. One approach to this problem is to use a downsized turbocharged engine. To fully utilize the benefits of the new hardware introduced, good control systems are needed. This paper presents a nonlinear controller for controlling the exhaust pressure in a SI engine equipped with VGT. A mapping from the states,...
This paper describes a two-sweep control design method to stabilize the acrobot, an input-affine under-actuated system, at the upper equilibrium point. In the forward sweep, the system is successively reduced, one dimension at a time, until a two-dimensional system is obtained. At each step of the reduction process, a quotient is taken along one-dimensional integral manifolds of the input vector field...
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