Abstract
This paper addresses a stability analysis problem and synthesis problem for pendulum-like systems with multiple nonlinearities. A method for analysing the Lagrange stability of a pendulum-like system with multiple nonlinearities is proposed. In order to study the synthesis problem, the paper develops an Extended Strict Bounded Real Lemma for unstable systems. A sufficient condition for Lagrange stabilization is proposed in terms of an algebraic Riccati equation with a sign infinite solution. An algorithm is given to solve the algebraic Riccati equation for a Lagrange stabilizing solution and thus gives a control law to stabilize the system in the sense of Lagrange stability.
| Original language | English |
|---|---|
| Title of host publication | IFAC Proceedings Volumes (IFAC-PapersOnline) |
| Volume | 17 |
| Edition | 1 PART 1 |
| DOIs | |
| Publication status | Published - 2008 |
| Externally published | Yes |
| Event | 17th World Congress, International Federation of Automatic Control, IFAC - Seoul, Korea, Republic of Duration: Jul 6 2008 → Jul 11 2008 |
Other
| Other | 17th World Congress, International Federation of Automatic Control, IFAC |
|---|---|
| Country | Korea, Republic of |
| City | Seoul |
| Period | 7/6/08 → 7/11/08 |
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Keywords
- Application of nonlinear analysis and design
- Nonlinear system control
- Robustness analysis
ASJC Scopus subject areas
- Control and Systems Engineering
Cite this
Control of pendulum-like system with multiple nonlinearities. / Ouyang, Hua; Petersen, Ian Richard; Ugrinovskii, Valery.
IFAC Proceedings Volumes (IFAC-PapersOnline). Vol. 17 1 PART 1. ed. 2008.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
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TY - GEN
T1 - Control of pendulum-like system with multiple nonlinearities
AU - Ouyang, Hua
AU - Petersen, Ian Richard
AU - Ugrinovskii, Valery
PY - 2008
Y1 - 2008
N2 - This paper addresses a stability analysis problem and synthesis problem for pendulum-like systems with multiple nonlinearities. A method for analysing the Lagrange stability of a pendulum-like system with multiple nonlinearities is proposed. In order to study the synthesis problem, the paper develops an Extended Strict Bounded Real Lemma for unstable systems. A sufficient condition for Lagrange stabilization is proposed in terms of an algebraic Riccati equation with a sign infinite solution. An algorithm is given to solve the algebraic Riccati equation for a Lagrange stabilizing solution and thus gives a control law to stabilize the system in the sense of Lagrange stability.
AB - This paper addresses a stability analysis problem and synthesis problem for pendulum-like systems with multiple nonlinearities. A method for analysing the Lagrange stability of a pendulum-like system with multiple nonlinearities is proposed. In order to study the synthesis problem, the paper develops an Extended Strict Bounded Real Lemma for unstable systems. A sufficient condition for Lagrange stabilization is proposed in terms of an algebraic Riccati equation with a sign infinite solution. An algorithm is given to solve the algebraic Riccati equation for a Lagrange stabilizing solution and thus gives a control law to stabilize the system in the sense of Lagrange stability.
KW - Application of nonlinear analysis and design
KW - Nonlinear system control
KW - Robustness analysis
UR - http://www.scopus.com/inward/record.url?scp=79961018388&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=79961018388&partnerID=8YFLogxK
U2 - 10.3182/20080706-5-KR-1001.3300
DO - 10.3182/20080706-5-KR-1001.3300
M3 - Conference contribution
SN - 9783902661005
VL - 17
BT - IFAC Proceedings Volumes (IFAC-PapersOnline)
ER -