Periodic Memory State-Feedback Controller: New Formulation, Analysis, and Design Results

Modeling and State Feedback Controller Design of Tubular Linear Permanent Magnet Synchronous Motor

“…Potential energy remains in the system and has no direct effect to the rocks. The ideal beat happens when in (20). In this case, the whole kinetic energy andthe potential energy are restored in the system.…”

“…Moreover, if the considered system is a linear and time-invariant system, the equations can be expressed in matrix form. State feedback can arbitrarily assign the closed loop system poles at any position but has no effect on the system zeroes [19]- [20]. The rest of paper is organized as: Overview of the TLPMSM model and the equivalent circuit are given in section II.…”

FIR-type robust H 2 and H ∞ control of discrete linear time-invariant polytopic systems via memory state-feedback control laws

“…references [28,30,44,45] for the robust H ∞ control and references [30,31,46] of the gain-scheduling control for LPV systems, and little progress has been made to improve the robust stabilization of LTI systems [40] in terms of conservatism until very recent years. Recently, the concept of the new kinds of controllers with finite memory structures [47][48][49][50][51] opened up a new possibility of reducing the conservatism of approaches based on the static state-feedback control. Specifically, the so-called periodically time-varying memory state-feedback controller (PTVMSFC) was investigated in [47][48][49] for stability analysis, control design, and the H ∞ control of discrete-time linear periodic or time-invariant systems with polytopic uncertainties, where the past states were stored in memory and were periodically exploited to build the current input.…”

“…Numerical results demonstrated that the PTVMSFC was very effective in reducing the conservatism of the traditional static state-feedback approaches. More recently, further improvement was made in [50][51][52][53][54][55][56][57][58][59] by devising the concept of the finite impulse response (FIR) controller built by adding different control signals depending linearly on the current and the past states, and combining the PTVMSFC scheme with the FIR control approach.…”

“…The proposed method of control synthesis basically follows the control strategy presented in [47][48][49][50][51]. That is, we employ the FIR type controller incorporating a finite sequence of the states from current time k to the past time k -d +1 in conjunction with the PD-QLFs, and determine the gain matrices of the controller so that the closed-loop performance is improved.…”