In this paper, an integration of Improve Particle Swarm Optimization (IPSO) in combination with Successive Quadratic programming (SQP) so called IPSO-SQP algorithm is proposed to solve time optimal bang-bang control problems. The procedure is found not sensitive to the initial guess of the solution. Due to random selection in the first stage of the search process, the chance of converging to th...

We focus on the minimal time control problem for single-input control-affine systems ẋ = X(x) + u1Y1(x) in IR with fixed initial and final time conditions x(0) = x̂0, x(t f ) = x̂1, and where the scalar control u1 satisfies the constraint |u1(·)| 6 1. For these systems a concept of conjugate time tc has been defined in e.g. [3, 30, 33] in the bang-bang case. Besides, theoretical and practical iss...

The effect of a zero in the right-half plane on the controller derived through the stability theorem of Lyapunov is considered through a simple illustrative example. It is shown that the controller should have the form of a linear saturating function instead of the bang-bang form for the minimum-phase systems. Many industrial processes are known to exhibit a dead-time delay in their txansfer ch...

In this paper, the effective use of multiple quadrotor drones as an aerial antenna array that provides wireless service to ground users is investigated. In particular, under the goal of minimizing the airborne service time needed for communicating with ground users, a novel framework for deploying and operating a drone-based antenna array system whose elements are single-antenna drones is propo...

This paper, the first of a series of two, deals with the determination of optimal steady-state jacket fluid temperature profiles for dispersive tubular chemical reactors, ranging from plug flow to perfectly mixed reactors. According to Pontryagin’s minimum principle, the optimal control is of the bang-bang type for the proposed terminal cost criterion. The bang-bang switching position is numeri...

Strong, fast pulses, called ‘‘bang–bang’’ controls can be used to eliminate the effects of system-environment interactions. This method for preventing errors in quantum information processors is treated here in a geometric setting which leads to an intuitive perspective. Using this geometric description, we clarify the notion of group symmetrization as an averaging technique, provide a geometri...

We present a novel static power control scheme to improve system capacity in wireless cellular networks. Our basic idea is to reduce intercellular interference and improve the capture probability by coordinating transmission powers of users in different cells. This coordination is determined beforehand and no real-time coordination is required. Power control is static and fixed. We formulate an...

Object avoidance is an important topic in control theory. Various traditional control methods can be applied to achieve control of object path such as PID, Bang-Bang control, sliding mode control. Given a known and simple dynamic system, those classical controls method work pretty well. However, controls of complex, multi degree of freedom systems or controls of systems with unknown dynamics ha...

The course deals with the analysis of optimal control problems and of the related first order PDEs of dynamic programming. In particular, we shall focus our attention on time optimal control problems for linear and nonlinear systems. We shall present some recent results concerning the regularity and the compactness of viscosity solutions to Hamilton-Jacobi and Hamilton-Jacobi-Bellmann Equations...

An optimal control problem is studied for a predator-prey system with logistic growth rate of the prey and a prey-dependent functional response of the predator. The control function has two components and signifies the rate of mixture between the individuals of the species. The form of the optimal control is determined according to Pontryagin’s maximum principle. It is bang-bang and the number ...