... a linear state feedback. The main property of proposed controller is that it does not need an upper bound for the uncertainty and identified model; moreover, the switching gain increases and decreases according to the system circumstance by employing an adaptive procedure. Then, chattering is removed...

... systems when the transition probabilities are partially known and to design a state feedback stabilizing controller such that the trajectories of the system stay within a given bound in a fixed time interval. Sufficient conditions for the existence of the desired controller are established with the linear...

... are derived using a state feedback controller. We also consider efficient convex optimization algorithms to the time-varying delay system with saturating actuator case: the maximal bound on the time delay such that the prescribed level of operation range and imposed exponential stability requirements...

...El Houssaine Tissir Sufficient and improved stability robustness conditions that depend both on the size and time derivative of time varying delays are presented. The approach is applied to investigate the problem of finding memoryless state feedback control that simultaneously stabilizes...

... approaches. linear matrix inequalities Lyapunov methods Markov processes robust control state feedback Markov jump systems (MJSs) stochastic finite-time stabilization stochastic finite-time bounded uncertain linear matrix inequalities Much work has been done on robust Lyapunov...

...Michael P. Hennessey; Cheri Shakiban The brachistochrone for a steerable particle moving on a 1D curved surface in a gravity field is solved using an optimal control formulation with state feedback. The process begins with a derivation of a fourth-order open-loop plant model with the system input...

... of the linearized model of the fractional-order system on the equilibrium point. The second controller is a dynamic state feedback controller and requires observability of the linearized model. In both considered cases, the stabilizability of the model is assumed. The number of inner states in the second controller...

... that precisely corrects the lateral, longitudinal, and angular positions of the sheet. The control strategy used is based on linearization by state feedback with the addition of internal loops for the local control of the actuators. This paper also provides a methodology to tune the controller parameters so...

... they are needed. Control laws to adjust all adjustable parameters are devised using Lyapunov’s second method to ensure that error trajectories are globally uniformly ultimately bounded. We present two state-feedback schemes: first, when neural networks are used to represent the unknown plant, and second, when...

... channel flow flow control flow instability hypersonic flow Navier-Stokes equations Poisson equation state feedback Streamwise equilibrium velocity U e ( y ) (left) and U y e ( y ) (right) for different values of H . Solid, H = 0 ; dash-dotted...

... uncertain hybrid linear system is transformed into an equivalent hybrid polytopic model subject to norm bounded uncertainty. For such equivalent hybrid linear model, we design its switching strategy and associated state feedback controllers so that such model is asymptotically stable with H ∞ disturbance...

... in terms of constraints imposed in the phase space of the system as it undergoes periodic motion. The approach is demonstrated first with a hopper that has state feedback to govern the timing of thrust and subsequently for a timer-based hopper. The latter case increases the dimensionality of the problem...

...-dependent approach State responses with the delay-dependent approach We simulate the behavior of the closed-loop system using the state feedback controllers. The state and control input profiles are shown in Figs. 1 2 3 4 . Note that both components x 1 and x 2 converge...

...Kamran E. Shahroudi; Peter M. Young We present a design approach for robust controller synthesis using a μ -synthesis procedure, which returns a controller in an observor/state-feedback form with physically meaningful states. We are also able to (approximately) retain this physical meaning when...

... with unknown coefficients. The system is decomposed into two subsystems based on the input matrix. For the first subsystem, a time delay dependent linear virtual control input is constructed. Then, a memoryless state feedback controller is designed based on backstepping method. By employing new Lyapunov...

... are proposed to realize stable inner-loop dynamics, a linear state feedback control scheme and a switching control scheme. Through numerical simulations and estimation of the region of attraction, it is shown that effective feedback schemes can be constructed. In comparison to existing control schemes...

... a memoryless state feedback controller, the condition will be extended to treat with the resulting closed-loop system. These explicit criteria can be reformulated in LMIs forms, so we will readily verify the stability or design a stabilizing controller by the current LMI solver. Furthermore, the considered...

.... In the first part of this paper, feedback linearization ideas motivate state feedback and changes of variables that transform the system into decoupled and intuitively meaningful tension and velocity loops. For the case where tension measurements are available, Lyapunov redesign techniques are then used...

... is to construct a robust memoryless state feedback control law from the solutions of linear matrix inequalities. The other method consists of designing robust observer-based output feedback controller. The results are expressed in termes of linear matrix inequalities. A comparison with μ ∕LDI tests is presented...

... on the Markov chain modeling and stochastic dynamic programming (SDP). The driver demand is modeled as a Markov process to represent the future uncertainty under diverse driving conditions. The infinite-horizon SDP solution generates a stationary state-feedback control policy to achieve optimal power management...