In this paper, we consider the regularization problem for the linear time-varying discrete-time periodic descriptor systems by derivative and proportional state feedback controls. Sufficient conditions are given under which derivative and proportional state feedback controls can be constructed so that the periodic closed-loop systems are regular and of index at most one. The construction proced...

This paper focuses on the synthesis problem of delayand its time derivative dependent robust and reliable stabilization for linear time-delay systems with norm-bounded parameter uncertainty in the state and delayed-state matrices and also with actuator failures among a pre-specified subset of actuators. An LMI (Linear Matrix Inequality) method is given for the delay and its time-derivative depe...

an enhanced displacement feedback structural control procedure is presented for performance-based design in this paper. at first, a comparative study is implemented assessing three most common active control algorithms including state, acceleration, and displacement feedback controls. the advantage of the displacement feedback algorithm for active control of structures against earthquakes is de...

The American cockroach, Periplaneta americana, is reported to follow walls at a rate of up to 25 turns s(-1). During high-speed wall following, a cockroach holds its antenna relatively still at the base while the flagellum bends in response to upcoming protrusions. We present a simple mechanosensory model for the task-level dynamics of wall following. In the model a torsional, mass-damper syste...

In this paper we consider the stabilisability of dynamical systems via time-delayed state and output feedback control. Based on an eigenvalue optimisation approach in combination with a continuation argument and a result characterising properties of the optimum eigenvalue configurations, we obtain explicit expressions for stabilisability boundaries for two-dimensional systems. As time-delayed f...

We consider the problem of finding optimal, robust stabilization of linear systems within a family of nonlinear feedback laws. Investigation of the efficiency of full-state and partial-state based so called NPID feedback schemes proposed for stabilization of systems in robotics applications has provided the motivation for our work. We prove that for a given quadratic Lyapunov function and a giv...

Solutions exist for the problem of canceling sinusoidal disturbances by the measurement of the state or by the measurement of an output for linear and nonlinear systems. In this paper, an adaptive backstepping controller is designed to cancel sinusoidal disturbances forcing an unknown linear time-invariant system in controllable canonical form which is augmented by a linear input subsystem with...

This study investigates six degrees-of-freedom nonlinear tracking control of rigid spacecraft under external disturbances. We propose two nonlinear tracking controllers having disturbance attenuation ability, namely, a proportionalderivative (PD)-type H∞ state feedback controller and a proportional-integral-derivative (PID)-type H∞ state feedback controller. Both these controllers have positive...

The disturbance decoupling problem is studied for linear delay systems. The structural approach is used to design a decoupling precompensator. The realization of the given precompensator by static state feedback is studied. Using various structural and geometric tools, a detailed description of the feedback is given, in particular, derivative of the delayed disturbance can be needed in the real...