The Anti-lock braking system (ABS) is an active safety device in road vehicles, which during hard braking maximizes the braking force between the tyre and the road irrespective of the road conditions. This is accomplished by regulating the wheel slip around its optimum value. Due to the high non-linearity of the tyre and road interaction, and uncertainties from vehicle dynamics, a standard PID ...

in this paper, control of a non-isothermal continuous stirred tank reactor in which two parallel autocatalytic reactions take place has been addressed. the reactor shows chaotic behavior for a certain set of reactor parameters. in order to control the product concentration, an optimal state feedback controller has been designed. since concentrations of reactor species are not measured, an obser...

In this paper, a methodology for hybrid control design is presented. The hybrid systems of interest are characterized by a feedback architecture of a continuous nonlinear plant with a discrete-event controller.The natural invariants of the continuous dynamics are used to partition the state space into regions and to synthesize simple and efficient control laws. The paper contains a complete des...

This paper develops a state-space theory for the study of linear shift-invariant finite-dimensional hybrid dynamical systems. By hybrid system, we mean an inputoutput operator relating hybrid signals, that is, signals which consist of two parts: a continuous-time part and a discrete-time part. We first introduce the hybrid state-space model and show the closedness properties under the fundament...

In this paper, the applicability and importance of hybrid system tools for the design of control algorithms for energy conversion in power systems is illustrated in two hybrid control designs, one pertaining to DC/DC conversion and the other to DC/AC inversion. In particular, the mathematical models considered consist of constrained switched differential equations/inclusions that include all po...

In the present paper, we solve for two-dimensional SISO linear control systems the open problem whether there exists nite-state hybrid output feedback to stabilize the systems. We show that under reasonable assumptions, such as stabilizability and detectability conditions, the answer to this question is aarmative for the case of 2-state output feedback. We also address a simulation procedure to...

Several recent results in the area of robust asymptotic stability of hybrid systems show that the concept of a generalized solution to a hybrid system is suitable for the analysis and design of hybrid control systems. In this paper, we show that such generalized solutions are exactly the solutions that arise when measurement noise is present in the system.

This paper is concerned with the exponential mean-square stabilisation of hybrid stochastic differential equations (also known as stochastic differential equations with Markovian switching) by delay feedback controls. Although the stabilisation by nondelay feedback controls for such equations has been discussed by several authors, there is so far little on the stabilisation by delay feedback co...

In this work characterizations of the notion of non-uniform in time robust global asymptotic output stability for hybrid systems with disturbances are given. Based on the provided characterizations, it is shown that every asymptotically output controllable time-varying control system can be stabilized (in general nonuniformly in time) by means of time-varying hybrid feedback.