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Author |
Alimguzhin, Vadim; Mari, Federico; Melatti, Igor; Salvo, Ivano; Tronci, Enrico |
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Title |
Automatic Control Software Synthesis for Quantized Discrete Time Hybrid Systems |
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Report |
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Year |
2012 |
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abs/1207.4098 |
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Abstract |
Many Embedded Systems are indeed Software Based Control Systems, that is control systems whose controller consists of control software running on a microcontroller device. This motivates investigation on Formal Model Based Design approaches for automatic synthesis of embedded systems control software. This paper addresses control software synthesis for discrete time nonlinear systems. We present a methodology to overapproximate the dynamics of a discrete time nonlinear hybrid system H by means of a discrete time linear hybrid system L(H), in such a way that controllers for L(H) are guaranteed to be controllers for H. We present experimental results on the inverted pendulum, a challenging and meaningful benchmark in nonlinear Hybrid Systems control. |
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CoRR, Technical Report |
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yes |
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Call Number |
Sapienza @ mari @ |
Serial |
103 |
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Author |
Mari, Federico; Melatti, Igor; Salvo, Ivano; Tronci, Enrico |
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Title |
From Boolean Functional Equations to Control Software |
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Report |
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2011 |
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abs/1106.0468 |
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Many software as well digital hardware automatic synthesis methods define the set of implementations meeting the given system specifications with a boolean relation K. In such a context a fundamental step in the software (hardware) synthesis process is finding effective solutions to the functional equation defined by K. This entails finding a (set of) boolean function(s) F (typically represented using OBDDs, Ordered Binary Decision Diagrams) such that: 1) for all x for which K is satisfiable, K(x, F(x)) = 1 holds; 2) the implementation of F is efficient with respect to given implementation parameters such as code size or execution time. While this problem has been widely studied in digital hardware synthesis, little has been done in a software synthesis context. Unfortunately the approaches developed for hardware synthesis cannot be directly used in a software context. This motivates investigation of effective methods to solve the above problem when F has to be implemented with software. In this paper we present an algorithm that, from an OBDD representation for K, generates a C code implementation for F that has the same size as the OBDD for F and a WCET (Worst Case Execution Time) at most O(nr), being n = |x| the number of arguments of functions in F and r the number of functions in F. |
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CoRR, Technical Report |
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yes |
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Call Number |
Sapienza @ mari @ |
Serial |
105 |
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Author |
Alimguzhin, Vadim; Mari, Federico; Melatti, Igor; Salvo, Ivano; Tronci, Enrico |
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Title |
On Model Based Synthesis of Embedded Control Software |
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Conference Article |
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Year |
2012 |
Publication |
Proceedings of the 12th International Conference on Embedded Software, EMSOFT 2012, part of the Eighth Embedded Systems Week, ESWeek 2012, Tampere, Finland, October 7-12, 2012 |
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227-236 |
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ACM |
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Ahmed Jerraya and Luca P. Carloni and Florence Maraninchi and John Regehr |
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978-1-4503-1425-1 |
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Notes |
Techreport version can be found at arxiv.org |
Approved |
yes |
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Call Number |
Sapienza @ mari @ emsoft12 |
Serial |
97 |
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Author |
Mari, Federico; Melatti, Igor; Salvo, Ivano; Tronci, Enrico; Alvisi, Lorenzo; Clement, Allen; Li, Harry |
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Title |
Model Checking Nash Equilibria in MAD Distributed Systems |
Type |
Conference Article |
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Year |
2008 |
Publication |
FMCAD '08: Proceedings of the 2008 International Conference on Formal Methods in Computer-Aided Design |
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1-8 |
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Keywords |
Model Checking, MAD Distributed System, Nash Equilibrium |
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Abstract |
We present a symbolic model checking algorithm for verification of Nash equilibria in finite state mechanisms modeling Multiple Administrative Domains (MAD) distributed systems. Given a finite state mechanism, a proposed protocol for each agent and an indifference threshold for rewards, our model checker returns PASS if the proposed protocol is a Nash equilibrium (up to the given indifference threshold) for the given mechanism, FAIL otherwise. We implemented our model checking algorithm inside the NuSMV model checker and present experimental results showing its effectiveness for moderate size mechanisms. For example, we can handle mechanisms which corresponding normal form games would have more than $10^20$ entries. To the best of our knowledge, no model checking algorithm for verification of mechanism Nash equilibria has been previously published. |
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IEEE Press |
Place of Publication |
Piscataway, NJ, USA |
Editor |
Cimatti, A.; Jones, R. |
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978-1-4244-2735-2 |
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yes |
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Call Number |
Sapienza @ mari @ MarMelSalTroAlvCle08 |
Serial |
93 |
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Author |
Mari, Federico; Melatti, Igor; Salvo, Ivano; Tronci, Enrico; Alvisi, Lorenzo; Clement, Allen; Li, Harry |
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Title |
Model Checking Coalition Nash Equilibria in MAD Distributed Systems |
Type |
Conference Article |
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Year |
2009 |
Publication |
Stabilization, Safety, and Security of Distributed Systems, 11th International Symposium, SSS 2009, Lyon, France, November 3-6, 2009. Proceedings |
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Pages |
531-546 |
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Abstract |
We present two OBDD based model checking algorithms for the verification of Nash equilibria in finite state mechanisms modeling Multiple Administrative Domains (MAD) distributed systems with possibly colluding agents (coalitions) and with possibly faulty or malicious nodes (Byzantine agents). Given a finite state mechanism, a proposed protocol for each agent and the maximum sizes f for Byzantine agents and q for agents collusions, our model checkers return Pass if the proposed protocol is an ε-f-q-Nash equilibrium, i.e. no coalition of size up to q may have an interest greater than ε in deviating from the proposed protocol when up to f Byzantine agents are present, Fail otherwise. We implemented our model checking algorithms within the NuSMV model checker: the first one explicitly checks equilibria for each coalition, while the second represents symbolically all coalitions. We present experimental results showing their effectiveness for moderate size mechanisms. For example, we can verify coalition Nash equilibria for mechanisms which corresponding normal form games would have more than $5 \times 10^21$ entries. Moreover, we compare the two approaches, and the explicit algorithm turns out to outperform the symbolic one. To the best of our knowledge, no model checking algorithm for verification of Nash equilibria of mechanisms with coalitions has been previously published. |
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Springer |
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Editor |
Guerraoui, R.; Petit, F. |
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Lecture Notes in Computer Science |
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Series Volume |
5873 |
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Approved |
yes |
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Call Number |
Sapienza @ mari @ sss09 |
Serial |
19 |
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Author |
Mari, Federico; Melatti, Igor; Salvo, Ivano; Tronci, Enrico |
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Title |
Linear Constraints and Guarded Predicates as a Modeling Language for Discrete Time Hybrid Systems |
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Journal Article |
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Year |
2013 |
Publication |
International Journal on Advances in Software |
Abbreviated Journal |
Intern. Journal on Advances in SW |
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Volume |
vol. 6, nr 1&2 |
Issue |
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Pages |
155-169 |
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Keywords |
Model-based software design; Linear predicates; Hybrid systems |
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Abstract |
Model based design is particularly appealing in
software based control systems (e.g., embedded
software) design, since in such a case system
level specifications are much easier to define
than the control software behavior itself. In
turn, model based design of embedded systems
requires modeling both continuous subsystems
(typically, the plant) as well as discrete
subsystems (the controller). This is typically
done using hybrid systems. Mixed Integer Linear
Programming (MILP) based abstraction techniques
have been successfully applied to automatically
synthesize correct-by-construction control
software for discrete time linear hybrid systems,
where plant dynamics is modeled as a linear
predicate over state, input, and next state
variables. Unfortunately, MILP solvers require
such linear predicates to be conjunctions of
linear constraints, which is not a natural way of
modeling hybrid systems. In this paper we show
that, under the hypothesis that each variable
ranges over a bounded interval, any linear
predicate built upon conjunction and disjunction
of linear constraints can be automatically
translated into an equivalent conjunctive
predicate. Since variable bounds play a key role
in this translation, our algorithm includes a
procedure to compute all implicit variable bounds
of the given linear predicate. Furthermore, we
show that a particular form of linear predicates,
namely guarded predicates, are a natural and
powerful language to succinctly model discrete
time linear hybrid systems dynamics. Finally, we
experimentally show the feasibility of our
approach on an important and challenging case
study taken from the literature, namely the
multi-input Buck DC-DC Converter. As an example,
the guarded predicate that models (with 57
constraints) a 6-inputs Buck DC-DC Converter is
translated in a conjunctive predicate (with 102
linear constraints) in about 40 minutes. |
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Publisher |
IARIA |
Place of Publication |
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Editor |
Luigi Lavazza |
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ISSN |
1942-2628 |
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Approved |
yes |
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Call Number |
Sapienza @ melatti @ |
Serial |
115 |
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| Permanent link to this record |
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Author |
Mari, Federico; Melatti, Igor; Salvo, Ivano; Tronci, Enrico |
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Title |
Synthesizing Control Software from Boolean Relations |
Type |
Journal Article |
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Year |
2012 |
Publication |
International Journal on Advances in Software |
Abbreviated Journal |
Intern. Journal on Advances in SW |
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Volume |
vol. 5, nr 3&4 |
Issue |
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Pages |
212-223 |
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Keywords |
Control Software Synthesis; Embedded Systems; Model Checking |
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Abstract |
Many software as well digital hardware automatic
synthesis methods define the set of
implementations meeting the given system
specifications with a boolean relation K. In
such a context a fundamental step in the software
(hardware) synthesis process is finding effective
solutions to the functional equation defined by
K. This entails finding a (set of) boolean
function(s) F (typically represented using
OBDDs, Ordered Binary Decision Diagrams)
such that: 1) for all x for which K is
satisfiable, K(x, F(x)) = 1 holds; 2) the
implementation of F is efficient with respect
to given implementation parameters such as code
size or execution time. While this problem has
been widely studied in digital hardware synthesis,
little has been done in a software synthesis
context. Unfortunately, the approaches developed
for hardware synthesis cannot be directly used in
a software context. This motivates investigation
of effective methods to solve the above problem
when F has to be implemented with software. In
this paper, we present an algorithm that, from an
OBDD representation for K, generates a C code
implementation for F that has the same size as
the OBDD for F and a worst case execution time
linear in nr, being n = |x| the number of
input arguments for functions in F and r the
number of functions in F. Moreover, a formal
proof of the proposed algorithm correctness is
also shown. Finally, we present experimental
results showing effectiveness of the proposed
algorithm. |
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Publisher |
IARIA |
Place of Publication |
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Editor |
Luigi Lavazza |
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Edition |
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ISSN |
1942-2628 |
ISBN |
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Approved |
yes |
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Call Number |
Sapienza @ melatti @ |
Serial |
108 |
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Author |
Mari, Federico; Melatti, Igor; Salvo, Ivano; Tronci, Enrico |
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Title |
Undecidability of Quantized State Feedback Control for Discrete Time Linear Hybrid Systems |
Type |
Book Chapter |
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Year |
2012 |
Publication |
Theoretical Aspects of Computing – ICTAC 2012 |
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Pages |
243-258 |
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Springer Berlin Heidelberg |
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Editor |
Roychoudhury, A.; D'Souza, M. |
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Lecture Notes in Computer Science |
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Series Volume |
7521 |
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ISBN |
978-3-642-32942-5 |
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Approved |
yes |
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Call Number |
Sapienza @ mari @ Mari2012 |
Serial |
99 |
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Author |
Mari, Federico; Melatti, Igor; Salvo, Ivano; Tronci, Enrico |
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Title |
Synthesis of Quantized Feedback Control Software for Discrete Time Linear Hybrid Systems |
Type |
Conference Article |
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Year |
2010 |
Publication |
Computer Aided Verification |
Abbreviated Journal |
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Volume |
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Issue |
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Pages |
180-195 |
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Keywords |
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Abstract |
We present an algorithm that given a Discrete Time Linear Hybrid System returns a correct-by-construction software implementation K for a (near time optimal) robust quantized feedback controller for along with the set of states on which K is guaranteed to work correctly (controllable region). Furthermore, K has a Worst Case Execution Time linear in the number of bits of the quantization schema. |
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Springer Berlin / Heidelberg |
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Editor |
Touili, T.; Cook, B.; Jackson, P. |
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Lecture Notes in Computer Science |
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Series Volume |
6174 |
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yes |
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Call Number |
Sapienza @ mari @ cav2010 |
Serial |
16 |
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