Discrete-time SISO LTI Systems with Monotonic Closed-loop Step Responses: Analysis and Control Based on Impulse Response Models

被引：2

作者：

Taghavian, Hamed ^{[1
]}

Johansson, Mikael ^{[1
]}

Tavazoei, Mohammad Saleh ^{[2
]}

机构：

[1] KTH Royal Inst Technol, Sch Elect Engn & Comp Sci, Stockholm, Sweden

[2] Sharif Univ Technol, Elect Engn Dept, Tehran, Iran

来源：

IFAC PAPERSONLINE | 2021年 / 54卷 / 09期

关键词：

linear control systems; discrete-time systems; PID; monotonic step response; non-negative impulse response; infinite-dimensional systems; fractional systems; DESIGN;

D O I：

10.1016/j.ifacol.2021.06.162

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

An explicit relation between the open- and closed-loop system responses is established directly in the time domain by means of Bell polynomials. This relation is used to derive necessary and sufficient conditions on the open-loop impulse response that guarantees that its closed-loop impulse response under unity feedback is non-negative in a given time range. Based on these conditions, a new design technique for PID controllers is presented that guarantees a monotonic closed-loop step response over a desired time interval. The results hold for any (possibly infinite-dimensional) discrete-time LTI system with a known impulse response. Numerical examples are provided to assess the contribution. Copyright (C) 2021 The Authors.

引用

页码：476 / 481

页数：6

共 17 条

[1] PARAMETER SPACE DESIGN OF ROBUST CONTROL-SYSTEMS [J].

ACKERMANN, J .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1980, 25 (06) :1058-1072

[2]

[Anonymous], 1916, Tohoku Math.J., V10, P167

[3] Aggregates of Monotonic Step Response Systems: A Structural Classification [J].

Blanchini, Franco ;

Samaniego, Christian Cuba ;

Franco, Elisa ;

Giordano, Giulia .

IEEE TRANSACTIONS ON CONTROL OF NETWORK SYSTEMS, 2018, 5 (02) :782-792

[4]

Charalambides C. A., 2018, Enumerative Combinatorics

[5] On the synthesis of controllers for a nonovershooting step response [J].

Darbha, S ;

Bhattacharyya, SP .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (05) :797-799

[6]

Díaz-Rodríguez ID, 2015, PROC IEEE INT SYMP, P1010, DOI 10.1109/ISIE.2015.7281610

[7]

Dorf R.C., 2018, The Electrical Engineering Handbook-Six Volume Set

[8] Linear matrix inequalities for globally monotonic tracking control [J].

Garone, Emanuele ;

Ntogramatzidis, Lorenzo .

AUTOMATICA, 2015, 61 :173-177

[9] A new approach to digital PID controller design [J].

Keel, LH ;

Rego, JI ;

Bhattacharyya, SP .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (04) :687-692

[10] An integral variable structure control scheme for non-overshooting responses [J].

Lu, Yu-Sheng ;

Liu, Sheng-Hao .

PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART I-JOURNAL OF SYSTEMS AND CONTROL ENGINEERING, 2018, 232 (04) :442-452

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