A new fuzzy bang–bang relay controller (FBBRC) is introduced in this paper. The new controller is inherently optimal due to its bang–bang property. The controller has fuzzy decision-making capability in its inputs and have two fixed levels bang–bang output. Consequently, the tuning of FBBRC is restricted to input parameters only in comparison to standard fuzzy logic controller (FLC) where the o...

We study bang–bang control problems that depend on a parameter p. For a fixed nominal parameter p0, it is assumed that the bang-bang control has finitely many switching points and satisfies second order sufficient conditions (SSC). SSC are formulated and checked in terms of an associated finitedimensional optimization problem w.r.t. the switching points and the free final time. We show that the...

In the paper, we consider ODE driven optimal control problems with bang-bang type extremals. The specific nature of bang-bang controls causes some difficulties in optimality and stability analysis. Usual convexity arguments like (strong) Legendre-Clebsch condition fail to hold, and the control discontinuity has to be taken into account. In recent years, substantial results on secondorder optima...

A systematic controller design procedure is developed for the class of linear time-invariant systems which use both continuous and bang-bang control effectors. The sampled-data regulator and its associated weighting matrices and cost function are extended to this class of system, and are used to modulate the bang-bang effector to achieve desired performance levels. Stability, sensitivity, and r...

In this paper, an intelligent-gradient based algorithm is proposed to solve time optimal bang-bang control problem. The proposed algorithm is a combination of an intelligent algorithm called improved particle swarm optimization algorithm (IPSO) in the first stage of optimization process together with a gradient-based algorithm called successive quadratic programming method (SQP) in the second s...

*Correspondence: [email protected] 1College of Fundamental Studies, Shanghai University of Engineering Science, Shanghai, 201620, P.R. China Full list of author information is available at the end of the article Abstract This paper investigates the lag projective synchronization and anti-synchronization problems for a general master-slave chaotic system with bounded nonlinearity. An adaptive cont...

We consider a general mathematical model for cancer chemotherapy as optimal control problem for a bilinear system and give necessary and sufficient conditions for strong local optimality of bang-bang controls. These results apply to a 3-compartment model which besides a killing agent also includes a recruiting agent, i.e. a drug which acts on the residuum of dormant cells in the cell cycle. For...

The Big Bang-Big Crunch (BB–BC) method is a relatively new meta-heuristic algorithm which inspired by one of the theories of the evolution of universe. In the BB–BC optimization algorithm, firstly random points are produced in the Big Bang phase then these points are shrunk to a single representative point via a center of mass or minimal cost approach in the Big Crunch phase. In this paper, the...