A design of discrete-time integral controllers with computation delays via loop transfer recovery

Ishihara, Tadashi; Guo, Hongyan; Takeda, Hiroshi

doi:10.1016/0005-1098(92)90184-h

Cited by 18 publications

(9 citation statements)

References 8 publications

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“…Consider a two-input, two-output, fourth-order plant describing the motion of a Boeing B-747 aircraft obtained by linearization around an operating condition of 20,000 ft. altitude with a speed of Mach 0.8 [21]. The system matrices are as follows: where βðtÞ, pðtÞ, rðtÞ, φðtÞ, δ a ðtÞ , and δ r ðtÞ denote the sideslip angle, the roll rate, the yaw rate, the roll angle, the aileron deflection, and the rudder deflection, respectively.…”

Section: Numerical Examplesmentioning

confidence: 99%

State-Feedback Output Tracking Via a Novel Optimal-Sliding Mode Control

Argha¹,

Su²

2017

Recent Developments in Sliding Mode Control Theory and Applications

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This chapter describes a new framework for the design of a novel suboptimal statefeedback-sliding mode control for output tracking while H 2 =H ∞ performances of the closed-loop system are under control. In contrast to most of the current sliding surface design schemes, in this new framework, the level of control effort required to maintain sliding is penalized. The proposed method for the design of optimal-sliding mode control is carried out in two stages. In the first stage, a state-feedback gain is derived using a linear matrix inequality (LMI)-based scheme that can assign a number of the closed-loop eigenvalues to a known value while satisfying performance specifications and ensuring that all the closed-loop poles are located in a preselected subregion. The sliding function matrix related to the particular state feedback derived in the first stage is obtained in the second stage by using one of the two different methods developed for this goal. We present a numerical example to demonstrate the remarkable performance of the proposed scheme.

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Section: Numerical Examplesmentioning

confidence: 99%

State-Feedback Output Tracking Via a Novel Optimal-Sliding Mode Control

Argha¹,

Su²

2017

Recent Developments in Sliding Mode Control Theory and Applications

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“…Then, the integral controller C I z proposed by Ishihara and colleagues [6] is given by where r t and s t are a reference and a state of the integrator, respectively. We assume that the pairs A, B and C, A are controllable and observable, respectively.…”

Section: Two-degree-of-freedom Type 1 Servo Systemmentioning

confidence: 99%

“…Therefore, we define Q FB z 0 [6]. When V o 0, the sensitivity function of the plant input side converges asymptotically to a sensitivity function which is constructed by a servo system via a state feedback.…”

Section: Numerical Examplesmentioning

confidence: 99%

“…For the plant Pz, the prediction-type Kalman filter is described by where K is the Kalman filter gain and x t is the state estimate. Then, the integral controller C I z proposed by Ishihara and colleagues [6] is given by where r t and s t are a reference and a state of the integrator, respectively. H and J are the gain matrices which satisfy where F is an optimal regulator gain.…”

Section: Two-degree-of-freedom Type 1 Servo Systemmentioning

confidence: 99%

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A design method of a generalized predictive control system based on parametrization of two-degree-of-freedom integral controllers

1999

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A new design method for a generalized predictive control (GPC) system based on parametrization of two‐degree‐of‐freedom integral controllers has been proposed. The objective is to guarantee stability of the control system without depending on the design parameters and to achieve low sensitivity against the plant perturbation and the disturbance. The design procedure consists of two steps. First, we design a basic integral controller for a nominal plant using the linear quadratic Gaussian (LQG) method and parametrize a class of two‐degree‐of‐freedom stabilizing controllers. Next, we tune the feedforward controller to incorporate the GPC method into our control structure. A numerical example is presented to show the effectiveness of the proposed method by comparing it with the conventional GPC method. © 1999 Scripta Technica, Electr Eng Jpn, 129(2): 62–70, 1999

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“…For non-minimum phase plants, Moore and Xia (1987) have proposed a partial LTR technique which has clear system-theoretic meaning. Guo et al (1995) and Ishihara (1995) have applied the partial LTR technique to design a class of discrete-time integral controllers discussed by Ishihara et al (1992).…”

Section: Introductionmentioning

confidence: 99%