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This article considers a target search problem by a set of unmanned aerial vehicles (UAVs). The problem is modelled as a discrete state, continuous-time Markov process. Convergence properties are investigated by using the eigenvalues and eigenvectors of a state transition rate matrix without...
A limit cycle is the stability boundary for linear and non-linear control systems. Hamiltonian mechanics and power flow control are employed to demonstrate this property of limit cycles. The presentation begins with the concept of linear limit cycles which is extended to non-linear limit cycles....
In this article, upper bounds on the worst-case H 2 performance index relative to structured, feedback perturbations are considered which are based on the minimisation of dual Lagrangean functionals over linearly-parametrised, finite-dimensional classes of dynamic multipliers. It is shown that...
Classical linear time-invariant system simulation methods are based on a transfer function, impulse response, or input/state/output representation. We present a method for computing the response of a system to a given input and initial conditions directly from a trajectory of the system, without...
Spin-axis stabilisation of spacecraft is a problem of partial stabilisation for non-linear dynamical systems. In this article the analysis of spin-axis stabilisation of underactuated rigid spacecraft in the presence of sinusoidal disturbances is presented. By using the Euler-Poisson form to...
This paper presents the stability and robustness analysis of an indirect adaptive control based variable structure algorithm for uncertain plants with relative degree one. The indirect approach has been proposed as a way to get an easier design of the switching laws, compared to the direct...
The problem of controlling an asynchronous sequential machine in the presence of adversarial inputs is considered. Here, an adversarial input is an unknown and unauthorised input that attempts to interfere with the operation of the machine. The objective is to develop automatic state feedback...
In this article, we introduce an approach based on sliding mode control to design full state feedback controllers for stabilisation of underactuated non-linear multibody systems. We define first order sliding surfaces as a linear combination of actuated and unactuated coordinate tracking errors....
This paper presents a tracking design methodology applicable to multivariable non-affine-in-control systems. The main focus is on solving the tracking problem for non-linear systems whose dynamics depend non-linearly on the control input. The latter is designed to be faster than the main system...
In this paper, we consider a class of infinite-horizon discrete-time linear quadratic N -person games, in which one of the players lacks complete information about the game. With the assumptions of a perfect state information pattern and steady state feedback strategies, we convert the original...
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