Control of Systems with State and Control Constraints Based on Parameterized Reference Signals

Oh-Hara, Shinsuke; Hirata, Kenji

doi:10.9746/sicetr1965.40.796

Cited by 4 publications

(5 citation statements)

References 5 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…[18], a reference governor algorithm of which feasibility is guaranteed for arbitrary reference signals is proposed. However, in the methods of [16][17][18], the steady-state gain of the transfer function of the closed-loop system from the reference signal to the constrained output is assumed to be zero. This implies that the plant must have an integrator when the constrained output is a control signal.…”

Section: Discussionmentioning

confidence: 99%

“…In fact, the controlled object that will be handled in the next section does not have an integrator. In addition to that, unlike [16][17][18], the reset of the integrator state is used as an extra degree of freedom to improve control performance in the proposed method. By means of this, it can be expected that the modified reference signal w (t) tracks the reference signal r(t) more rapidly as described in Remark 8.…”

Section: Discussionmentioning

confidence: 99%

“…It should be noted that the number of the decision variables of the LMI optimization is smaller than that of the original optimization problem in Step 3. Also, it is clear that, in the case of n y = 1, the optimal solution of (19) can be obtained easily by solving the equalities w (w ) = 0 and | w | = 1 − ρ.x c can be computed by substituting the obtainedw for (18).…”

Section: On the Methods For Solving The Optimization Problemsmentioning

confidence: 99%

See 2 more Smart Citations

A gain‐scheduled control algorithm for input constrained systems to track time‐varying references using controller state resets

Wada

Kawaoka

Saeki

2016

IEEJ Transactions Elec Engng

View full text Add to dashboard Cite

In this paper, we propose a control law for a discrete-time linear system with actuator saturation to track time-varying reference signals. The proposed control law consists of a feedback controller and a target recalculation mechanism. The feedback controller includes an integrator to achieve zero steady-state error in the case where the reference signal is constant. The feedback gains of the controller are parameterized by a single scheduling parameter. In the proposed control algorithm, when the tracking error is large, a modified reference signal is computed by the target recalculation mechanism so that feasibility of the algorithm and stability of the control system are guaranteed at all times. At this stage, the controller state is modified online so that the tracking control performance is improved. Further, when the tracking error becomes small, the scheduling parameter and the controller state are updated simultaneously so that the tracking control performance is improved. The problems of determining the scheduling parameter, the controller state, and the modified reference signal are reduced to convex optimization problems with linear matrix inequality constraints. The effectiveness of the proposed control method is shown through an experiment.

show abstract

Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Section: On the Methods For Solving The Optimization Problemsmentioning

confidence: 99%

See 1 more Smart Citation

A gain‐scheduled control algorithm for input constrained systems to track time‐varying references using controller state resets

Wada

Kawaoka

Saeki

2016

IEEJ Transactions Elec Engng

View full text Add to dashboard Cite

show abstract

“…Thus, when we deal with the tracking control problem, it is required not only to achieve a good tracking performance but also to avoid the violation of these constraints. One of the ways to simultaneously meet these requirements is to add an auxiliary mechanism called a reference governor or a reference management algorithm (Gilbert et al 1995, Bemporad et al 1997, Hirata and Fujita 1999, Hirata and Kogiso 2001, Sugie and Yamamoto 2001, Angeli et al 2001, Ohara and Hirata 2002 to the closed-loop system. The reference governor modifies the reference signal, and input the resulting signal to the closed-loop system.…”

Section: Introductionmentioning

confidence: 99%

“…As another approach to simplify the real time implementation, alleviating the on-line computational effort has been addressed. Ohara and Hirata (2002) proposed an on-line reference governor based on the parameterization of the maximal output admissible set and the set of reference signals which avoid constraints violation. This requires a very small computational effort to produce the modified reference.…”

Section: Introductionmentioning

confidence: 99%

Reference management using state observers

Hatanaka

Takaba

2005

International Journal of Control

View full text Add to dashboard Cite

The reference management algorithm is an auxiliary system which modifies the reference signal to fulfil the state and control constraints. In the previous works, most of such algorithms require the assumption that the state vector of the closed-loop system including the plant state is directly measurable, which may be unrealistic for some applications. In this paper, we develop a new reference management algorithm for discrete-time constrained systems with unmeasurable plant states. The present algorithm assures the constraints fulfilment when an ellipsoidal set of possible plant state vectors is available instead of the plant state itself. It is shown that the set of possible plant states can be obtained from the measured outputs by using the Luenberger-type observer or the set-valued observer. The effectiveness of the present method is demonstrated by a numerical example.

show abstract

The Controller Design and Experimental Evaluation of RC Model Helicopter Considering Time-Delay and Physical Constraints(Mechanical Systems)

大原

浦野²,

松野³

2009

Trans.JSME(C)

View full text Add to dashboard Cite

show abstract

Control of Systems with State and Control Constraints Based on Parameterized Reference Signals

Cited by 4 publications

References 5 publications

A gain‐scheduled control algorithm for input constrained systems to track time‐varying references using controller state resets

A gain‐scheduled control algorithm for input constrained systems to track time‐varying references using controller state resets

Reference management using state observers

The Controller Design and Experimental Evaluation of RC Model Helicopter Considering Time-Delay and Physical Constraints(Mechanical Systems)

Contact Info

Product

Resources

About